The Upanishads reveal that in the beginning, nothing existed: “This was but non-existence in the beginning. That became existence. That became ready to be manifest”. (Chandogya Upanishad 3.15.1) The creation began from this state of non-existence or nonduality, a state comparable to (0). One can add any number of zeros to (0), but there will be nothing except a big (0) because (0) is a neutral number. If we take (0) as Nirguna Brahman (God without any form and attributes), (...) then from where and how did the universe come into existence? -/- The neutral power (0) cannot produce anything without having an element of duality in it. Although Nirguna Brahman is neutral, it has a positive, negative, and neutral pole, constituting its Prakriti or nature. Prakriti has three latent Gunas (modes or qualities): Satva, Rajas, and Tamas. They are related to Gyana Shakti (the power of knowledge) Sankalpa Shakti (the power of ideation), and Kriya Shakti (the power of action). Science says that Atom is the basic element from which the universe evolved. The Atom has three nuclei- electron, pluton, and neutron. The Satva, Rajas, and Tamas in Indian spirituality are nothing but the mystical names for the nuclei of an atom. -/- According to Bhagavata Purana, Prakriti is also constituted of the elements of Time, Karma (action/destiny) and Swabhava (innate nature). Time disturbs the equilibrium of Gunas. From the aspect of Karma is produced an entity called Mahat, in the form of intelligence. Mahat is dominated by Satva and Rajas. From Mahat manifests the next evolute dominated by Tamas with three predominant qualities – Dravya (substance), Kriya (action), as well as intelligence. It forms to become the Ego principle (Ahamkara). -/- Ahamkara has three modes – Satvic, Rajasic and Tamasic. Satvic is Jnana oriented, Rajasic action-oriented and Tamasic Dravya (substance) oriented. From the Tamasic Ahankara, five gross elements are produced (ether, air, fire, water, and earth - Akash, Vayu, Agni, Jal and Prithvi). From the Satvic Ahamkara, guardian deities (the sun and moon, deities of sense organs, and organs of action) and from Rajasic Ahamkara, ten senses (Indriyas), five senses of perception, five organs of action, the faculties of intellect and Prana (life breath) are produced. -/- Bhagavata says that since these energies, elements, and faculties remained disassociated, they were combined to form a Cosmic Egg. The egg floats in the primal waters for a thousand years. Then God enters this Cosmic Egg and manifests himself as the Cosmic Purusha. He is the first nucleus, the God particle equivalent to the number (1) which is the embodiment of everything in the universe. The concept of creation and dissolution in Hinduism can be compared to the waves in an ocean that appear and disappear incessantly. The Manvantaras are such successive episodes of creation emerging from the Cosmic Person, the Manu who is embodied God-Consciousness, God himself. These episodes of creation are measured in Hinduism in terms of Manvantaras, the epochs of Manus. -/- Manu is the ‘First-Born’ (1) of God, the Cosmic Purusha from whom the world has originated. This Cosmic Person (Purusha) has been described as having fourteen biospheres (heavens) that are inhabited by various life forms in the order of evolution of consciousness. If we begin from the human biosphere (Bhuloka), there are ten astral biospheres that a man must transcend to attain liberation or Mukti from the cycle of births and deaths. -/- The number (1) produces the primary numbers up to (9) through the transmutation of the creational energies and qualities. The process can be related to the descent and cyclical evolution of (1) through ten spiritual stages, finally merging with the nondual (0). The number (10) marks the merger of (1) with (0). The Hindu worldview is that all life forms in an episode of creation must evolve to become one with the non-dual state (0) to attain liberation from the cycle of births and deaths in a cyclical process. -/- . (shrink)

The paper discusses Hilbert mathematics, a kind of Pythagorean mathematics, to which the physical world is a particular case. The parameter of the “distance between finiteness and infinity” is crucial. Any nonzero finite value of it features the particular case in the frameworks of Hilbert mathematics where the physical world appears “ex nihilo” by virtue of an only mathematical necessity or quantum information conservation physically. One does not need the mythical Big Bang which serves to concentrate all the violations (...) of energy conservation in a “safe”, maximally remote point in the alleged “beginning of the universe”. On the contrary, an omnipresent and omnitemporal medium obeying quantum information conservation rather than energy conservation permanently generates action and thus the physical world. The utilization of that creation “ex nihilo” is accessible to humankind, at least theoretically, as long as one observes the physical laws, which admit it in their new and wider generalization. One can oppose Hilbert mathematics to Gödel mathematics, which can be identified as all the standard mathematics until now featureable by the Gödel dichotomy of arithmetic to set theory: and then, “dialectic”, “intuitionistic”, and “Gödelian” mathematics within the former, according to a negative, positive, or zero value of the distance between finiteness and infinity. A mapping of Hilbert mathematics into pseudo-Riemannian space corresponds, therefore allowing for gravitation to be interpreted purely mathematically and ontologically in a Pythagorean sense. Information and quantum information can be involved in the foundations of mathematics and linked to the axiom of choice or alternatively, to the field of all rational numbers, from which the pair of both dual and anti-isometric Peano arithmetics featuring Hilbert arithmetic are immediately inferable. Noether’s theorems (1918) imply quantum information conservation as the maximally possible generalization of the pair of the conservation of a physical quantity and the corresponding Lie group of its conjugate. Hilbert mathematics can be interpreted from their viewpoint also after an algebraic generalization of them. Following the ideas of Noether’s theorem (1918), locality and nonlocality can be realized both physically and mathematically. The “light phase of the universe” can be linked to the gap of mathematics and physics in the Cartesian organization of cognition in Modernity and then opposed to its “dark phase”, in which physics and mathematics are merged. All physical quantities can be deduced from only mathematical premises by the mediation of the most fundamental physical constants such as the speed of light in a vacuum, the Planck and gravitational constants once they have been interpreted by the relation of locality and nonlocality. (shrink)

The paper is the final, fifth part of a series of studies introducing the new conceptions of “Hilbert mathematics” and “ontomathematics”. The specific subject of the present investigation is the proper philosophical sense of both, including philosophy of mathematics and philosophy of physics not less than the traditional “first philosophy” (as far as ontomathematics is a conservative generalization of ontology as well as of Heidegger’s “fundamental ontology” though in a sense) and history of philosophy (deepening Heidegger’s destruction of (...) it from the pre-Socratics to the Pythagoreans). Husserl’s phenomenology and Heidegger’s derivative “fundamental ontology” as well as his later doctrine after the “turn” are the starting point of the research as established and well known approaches relative to the newly introduced conception of ontomathematics, even more so that Husserl himself started criticizing his “Philosophy of arithmetic” as too naturalistic and psychological turning to “Logical investigations” and the foundations of phenomenology. Heidegger’s “Aletheia” is also interpreted ontomathematically: as a relation of locality and nonlocality, respectively as a motion from nonlocality to locality if both are physically considered. Aristotle’s ontological revision of Plato’s doctrine is “destructed” further from the pre-Socratics' “Logos” or Heideger’s “Language” (after the “turn”) to the Pythagoreans “Numbers” or “Arithmetics” as an inherent and fundamental philosophical doctrine. Then, a leap to contemporary physics elucidates the essence of ontomathematics overcoming the Cartesian abyss inherited from Plato’s opposition of “ideas” versus “things”, and now unifying physics and mathematics, particularly allowing for the “creation from nothing” instead of the quasi-scientific myth of the “Big Bang”. Furthermore, ontomathematics needs another interpretation of arithmetic, propositional logic and set theory in the foundations of mathematics, where the latter two ones are both identified with Boolean algebra, and the former is considered to be a “half of Boolean algebra” in the exact meaning to be equated to it after doubling by a dual anti-isometric counterpart of Peano arithmetic. That unified algebraic realization of the foundations of mathematics is related to Hilbert mathematics in both “narrow and wide senses” where the latter is isomorphic to the qubit Hilbert space, thus underlying all the physical world by the newly introduced substance of quantum information being physically dimensionless and generalizing classical information measured in bits. The substance of information, whether classical or quantum, visualizes the way of the unification of physics and mathematics by merging their foundations in Hilbert arithmetic and Hilbert mathematics: thus how ontomathetics is a “first philosophy”. The relation of ontomathematics to the Socratic “human problematics”, furthermore being fundamental for Western philosophy in Modernity, is discussed. Ontomathematics implies its “substitution” by abstract information (or by “subjectless choice” relevant to it), thus “obliterating the human outline on the ocean beach sand” (by Michel Foucault’s metaphor). A reflection back from the viewpoint of mathematic to Western philosophy as the philosophy of locality ends the study. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 38.4 (2004) 71-80 [Access article in PDF] The Arts and the Creation of Mind: Eisner's Contributions to the Arts in Education Arthur Efland Professor Emeritus, Department of Art Education The Ohio State University In the last four years at least three books in arts education have dealt with the subject of cognition in relation to the arts. I refer to Charles Dorn's Mind (...) in Art, my book Art and Cognition, and Elliot Eisner's The Arts and the Creation of Mind, with the publication of the latter providing the occasion for this article.1 Each of these texts makes its case for the arts in education on somewhat similar grounds. All three share the view that the creation and understanding of works of art, though endowed with feeling and emotion, are nevertheless cognitive endeavors. But why have so many books appeared on the topic of cognition at this time? To answer this question it becomes necessary to describe the changes in our understanding of cognition and the problems these have created for the arts in education.Once cognition was the term used to designate propositional thinking with verbal and numerical symbols, whereas the current sense of the term embraces all forms of thought including mental images obtained through perception. In short it includes all forms of sentience by which the human organism comes to know itself and its environment. This change was to have a major impact upon curriculum reform initiatives in all studies but it was to have a revolutionary impact upon education in the arts for reasons explained later in this essay. However, an adequate story of cognition in the arts cannot be told without a discussion of Eisner's contributions to this discourse. The Waning of Behaviorism For the first half of the twentieth century the psychology that dominated educational practice was behaviorism. Its proponents included psychologists like Edward L. Thorndike, James B. Watson, and B.F. Skinner.2 Each strove to create a science of psychology that would match the rigor of physics or chemistry, where causes in relation to effects would be carefully observed and measured, making the explanation, prediction, and control of phenomena possible, especially those behaviors that fall under the control of the classroom teacher. The formation of connections called stimulus-response (S-R) bonds had become the molar unit to explain learning, much [End Page 71] like the way that differences in the structure of the atom was used to explain the behavior of the chemical elements of the Periodic Table. This bond between environmental stimuli and the organism's response was seen as the elementary unit of behavior while the IQ had become its measure. Invisible notions like mind and imagination were banished to metaphysical philosophy, outside the legitimate bounds of science.Though behaviorists never denied the existence of higher order thinking that is, abstract, sense-free thinking as found in pure mathematics, they were unable to explain how these human capacities emerge through the accumulation of such rudimentary stimulus-response events. Nevertheless, they recognized that humans do have a capacity for thinking that relies heavily upon symbols like words, numbers and the like. Moreover, certain subjects that require reason and logic, like math and theoretical physics, would be inconceivable without such symbols and the rules by which these are manipulated. By contrast it was assumed that the arts, which relied on sensory images, either did not employ this type of propositional thought, or did so to a far lesser degree. Thus the arts could be dispatched to the noncognitive or affective domains with little or no reduction in the learner's cognitive capacities. Indeed, these noncognitive realms, which gave play to feelings and emotions, were often seen as inimical to the acquisition of rational powers of thought. Intellectual power as it was then understood, required that feelings and emotions be brought under the control of reason.As long as behaviorism served as the dominant paradigm, the school curriculum could be divided into two or three broad divisions... (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can (...) be also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

In this paper, we wish to explore the role that textual representations play in the creation of new mathematical objects. We do so by analyzing texts by Joseph-Louis Lagrange (1736–1813) and Évariste Galois (1811–1832), which are seen as central to the historical development of the mathematical concept of groups. In our analysis, we consider how the material features of representations relate to the changes in conceptualization that we see in the texts.Against this backdrop, we discuss the idea (...) that new mathematical concepts, in general, are increasingly abstract in the sense of being detached from material configurations. Our analysis supports the opposite view. We suggest that changes in the material aspects of textual representations (i.e., the actual graphic inscriptions) play an active and crucial role in conceptual change.We employ an analytical framework adapted from Bruno Latour’s 1999 account of intertwined material and representational practices in the empirical sciences. This approach facilitates a foregrounding of the interconnection between the conceptual development of mathematics, and the construction, (re-)configuration, and manipulation of the materiality of representations. Our analysis suggests that, in mathematical practice, distinctions between the material and structural features of representations are not permanent and absolute. This problematizes the appropriateness of the distinction between concrete inscriptions and abstract relations in understanding the development of mathematical concepts. (shrink)

The sum of all objects of a science, the objects’ features and their mutual relations compose the reality described by that sense. The reality described by mathematics consists of objects such as sets, functions, algebraic structures, etc. Generally speaking, the use of terms reality and existence, in relation to describing various objects’ characteristics, usually implies an employment of physical and perceptible attributes. This is not the case in mathematics. Its reality and the existence of its objects, leaving aside its (...) application, are completely virtual and yet clearly organized. This organization can be recognized in the creation of axioms or in the arrival at new theorems and definitions. It results either from a formalization of an intuitive idea or from a combinatorics that has not been guided by intuition. In all four possible cases—therefore, also in the two in which there is no intuitive “lead”, we can plausibly talk about a discovery of mathematical facts and thus support the Platonist view. (shrink)

In the philosophy of mathematics, as in its a meta-domain, we find that the words as: consequentialism, implicativity, operationalism, creativism, fertility, … grasp at most of mathematical essence and that the questions of truthfulness, of common sense, or of possible models for (otherwise abstract) mathematical creations,i.e. of ontological status of mathematical entities etc. - of second order. Truthfulness of (necessary) succession of consequences from causes in the science of nature is violated yet with Hume, so that (...) some traditional footings of logico-mathematical conclusions should equally be falled under suspicion in the last century. We have in mind, say, strict-material implication which led the emergence of relevance logics, or the law of excluded middle that denied intuitionists i.e. paraconsistent logical systems where the contradiction is allowed, as well as the quantum logic which doesn't know, say, the definition of implication etc. Kant's beliefs miscarried hereafter that number (arithmetic) and form (geometry) would bring a (finite) truth on space and time, when they revealed relative and curvated, just as it is contradictory essentially understanding of basic phenomena in the nature: of light as an unity of wave – particle, or that both "exist" and "don't exist" numbers as powers of sets between 0א and c (the independence of continuum hypothesis) etc. Mathematical truths are ''truths of possible worlds'', in which we have only to believe that they will meet once recognizable models in reality. At last, we argue in favour of thesis that a possible representing "in relief" of mathematical entities and relations in the "noetic matter" (Aristotle) would be of a striking heuristic character for this science. (shrink)

Leonardo da Vinci’s extensive drawings and notes devoted to anatomy do not arise in a medical context. He does not engage with surgery or “physic.” Rather, his aim is to reveal what he understood to be the divine engineering of God’s greatest creation. His earliest anatomical drawings map the conduits for the “spirits” at a deep level not practiced by other artists interested in the human body. The first set of drawings he produced in 1489 describes skulls with brilliant (...) draftsmanship. His notes for these drawings are predominantly concerned with the location of the “common sense” (sensus communis) at the geometrical center of the cranium. The next great set of drawings completed in ca. 1510 expounds the form and functions of the bones and muscles in meticulous mechanical detail, probably in collaboration with the young Paduan doctor, Marcantonio della Torre. Leonardo’s greatest realization of mathematics in anatomy comes when he looks at the valves of the heart; in studying the heart he also conceived a casting technique that he adapted to determine the form of the ventricles in the brain, radically revising the traditional arrangement of these structures. In a range of portrayals from diagrammatic to pictorial and from static to dynamic, Leonardo’s anatomical research is unrivalled in revealing the mechanics of the human body. His work in this context is an underappreciated precursor of the modern science of biomechanics. (Larger-sized versions of the Leonardo drawings presented here are available as supplementary material in the online version of this article.). (shrink)

Problem: There is currently a great deal of mysticism, uncritical hype, and blind adulation of imaginary mathematical and physical entities in popular culture. We seek to explore what a radical constructivist perspective on mathematical entities might entail, and to draw out the implications of this perspective for how we think about the nature of mathematical entities. Method: Conceptual analysis. Results: If we want to avoid the introduction of entities that are ill-defined and inaccessible to verification, then formal (...) systems need to avoid introduction of potential and actual infinities. If decidability and consistency are desired, keep formal systems finite. Infinity is a useful heuristic concept, but has no place in proof theory. Implications: We attempt to debunk many of the mysticisms and uncritical adulations of Gödelian arguments and to ground mathematical foundations in intersubjectively verifiable operations of limited observers. We hope that these insights will be useful to anyone trying to make sense of claims about the nature of formal systems. If we return to the notion of formal systems as concrete, finite systems, then we can be clear about the nature of computations that can be physically realized. In practical terms, the answer is not to proscribe notions of the infinite, but to recognize that these concepts have a different status with respect to their verifiability. We need to demarcate clearly the realm of free creation and imagination, where platonic entities are useful heuristic devices, and the realm of verification, testing, and proof, where infinities introduce ill-defined entities that create ambiguities and undecidable, ill-posed sets of propositions. Constructivist content: The paper attempts to extend the scope of radical constructivist perspective to mathematical systems, and to discuss the relationships between radical constructivism and other allied, yet distinct perspectives in the debate over the foundations of mathematics, such as psychological constructivism and mathematical constructivism. (shrink)

Le but de l'article est de cerner le sens précis du concept de constitution, central dans la pensée de Husserl, et ce afin de comprendre la portée ontologique de son idéalisme transcendantal: en quel sens s'agit-il d'un idéalisme? Le sujet constituant produit-il le sens et l'être des objets? On s'interroge d'abord sur le champ d'objets qui sert à Husserl de fil conducteur pour l'élaboration de ce concept: est-ce celui des objets immanents, des choses spatio-temporelles, ou des idéalités? Ayant montré que (...) la constitution de la res extensa possède une fonction paradigmatique, on met en question la possibilité de transposer ses traits essentiels à celle des idéalités formelles ou mathématiques: celles-ci ont-elles une subsistance et un caractère d'Idée kantienne analogues à ceux de la res extensa? Comment concilier leur validité omnitemporelle, qui accrédite une thèse réaliste, et le fait qu'elles apparaissent à un moment précis de l'histoire, qui semble justifier la thèse idéaliste? The aim of this article is to tackle and define the concept of constitution, which is central in Husserl's thought, in order to understand the ontological significance of its transcendental idealism: what kind of idealism is it? Does the constituting subject produce the sense and the being of objects? The first question will be to know what field of objects Husserl uses as paradigm in the construction of this concept: is it the field od immanent temporal objects, of spatiotemporal things or of idealities? Having proved that the constitution of the res extensa has a paradigmatic fonction, is it possible to transfer its main characteristics to the constitution of formal or mathematical idealities? Do the latter have the same subsistence and the same statut of Kantian ideas as the res extensa? How is possible to reconcile their omnitemporal validity with the fact that they appear at a particular time in history? (shrink)

Many researchers determine the question “Why anything rather than nothing?” as the most ancient and fundamental philosophical problem. Furthermore, it is very close to the idea of Creation shared by religion, science, and philosophy, e.g. as the “Big Bang”, the doctrine of “first cause” or “causa sui”, the Creation in six days in the Bible, etc. Thus, the solution of quantum mechanics, being scientific in fact, can be interpreted also philosophically, and even religiously. However, only the philosophical interpretation (...) is the topic of the text. The essence of the answer of quantum mechanics is: 1. The creation is necessary in a rigorous mathematical sense. Thus, it does not need any choice, free will, subject, God, etc. to appear. The world exists in virtue of mathematical necessity, e.g. as any mathematical truth such as 2+2=4. 2. The being is less than nothing rather than more than nothing. So, the creation is not an increase of nothing, but the decrease of nothing: it is a deficiency in relation of nothing. Time and its “arrow” are the way of that diminishing or incompleteness to nothing. (shrink)

The parameters governing our behavior are in constant flux. Accurately capturing these dynamics in cognitive models poses a challenge to modelers. Here, we demonstrate a mapping of ACT-R's declarative memory onto the linear ballistic accumulator (LBA), a mathematical model describing a competition between evidence accumulation processes. We show that this mapping provides a method for inferring individual ACT-R parameters without requiring the modeler to build and fit an entire ACT-R model. Existing parameter estimation methods for the LBA can be (...) used, instead of the computationally expensive parameter sweeps that are traditionally done. We conduct a parameter recovery study to confirm that the LBA can recover ACT-R parameters from simulated data. Then, as a proof of concept, we use the LBA to estimate ACT-R parameters from an empirical dataset. The resulting parameter estimates provide a cognitively meaningful explanation for observed differences in behavior over time and between individuals. In addition, we find that the mapping between ACT-R and LBA lends a more concrete interpretation to ACT-R's latency factor parameter, namely as a measure of response caution. This work contributes to a growing movement towards integrating formal modeling approaches in cognitive science. (shrink)

Dedekind’s methodology, in his classic booklet on the foundations of arithmetic, has been the topic of some debate. While some authors make it closely analogue to Hilbert’s early axiomatics, others emphasize its idiosyncratic features, most importantly the fact that no axioms are stated and its careful deductive structure apparently rests on definitions alone. In particular, the so-called Dedekind “axioms” of arithmetic are presented by him as “characteristic conditions” in the _definition_ of the complex concept of a _simply infinite_ system. Making (...) sense of Dedekind’s method may be dependent on an analysis of the classical model of deductive science, as presented by authors from the eighteenth and early nineteenth centuries. Studying the modern reconstructions of Euclidean geometry, we show that they did not presuppose deductive independence of the axioms from the definitions. Authors like Wolff elaborated a mathematics _based on definitions_, and the Wolffian model of deductive science shows significant coincidences with Dedekind’s method, despite the great differences in content and approach. Wolff had a conception of definitions as _genetic_, which bears some similarities with Kant’s idea of synthetic definitions: they are understood as positing the content of mathematical concepts and introducing thought objects (_Gedankendinge_) that are the objects of mathematics. The emphasis on the spontaneity of the understanding, which can be found in this philosophical tradition, can also be fruitfully related with Dedekind’s idea of the “free creation” of mathematical objects. (shrink)

To commemorate Professor Yip Lai drunk, this article analyzes the social construction of beauty in the role. Focus on the imagination in Kant's "first critique" and "third critical" role into the comparison. In the "first critique", the imaginative scope of row rank succumb to emotional information under the force measured. In the "third critique" in the free world and the physical manifestation of the social world, you need to play an active imagination and rich creative role. Lai drunk leaf through (...) the philosophy of science and metaphysics, more step forward, from the mathematical and theoretical physics has been traced back to the aesthetics of the sublime original management of the environment. In this way, Lai In order to disclose the beauty of drunk leaves the constructive role of liaison to the beauty of creation, the beginning and end of performances In order to source of the purpose. In honor of the late Professor Jean Ladrière, this study nalyzes the role of the aesthetic in social construction. It focuses upon the contrasting role of the imagination in Kant's first and third Critiques. In the first Critique the imagination is subservient to the categories in its ordering of the sense data. In the third Critique the realization of freedom in the physical and social world requires that the imagination play an active, indeed creative role. Jean Ladrière reaches further still through the philosophy of science and metaphysics to trace the principles of the aesthetic order from mathematics and speculative physics to the role of the sublime. He thereby uncovers a constructive role for the aesthetic which joins all of creation in a celebration of its Source and End. (shrink)

In a paper presented at a symposium on structuralism at the Johns Hopkins University in 1968, the historian Charles Morazé analyzed the issue of invention largely with reference to mathematics and the theory of Henri Poincare.1 Poincare, along with the physiologist Hermann von Helmholtz, was the first to put forward a theory of scientific discovery as occurring in discrete phases. In 1926, Joseph Wallas generalized this theory to apply to all creativity, positing phrases which closely resemble those of Morazé. While (...) both Poincare and Wallas use a four-phrase model of invention, Morazé reduces his to three phrases: information, cogitation, and intellection. In information, the inventor becomes familiar with the sign systems and knowledge, the "collective contributions of society," relevant to his field of problems. Cogitation assembles these materials and concentrates them until "a certain moment" when "a light breaks through." This "sudden illumination...forces us to insist upon the neurological character" of the inventive moment. Finally, in intellection, the inventor rationally evaluates the utility of his invention and thus, in a sense, steps outside of himself and rejoins society. The distinction which organizes Morazé 's entire account, as well as most of the discussion that followed his presentation, is between the "collective" support and control of the inventor and his own individual, or "neurological," act of synthesis or creation. · 1. See Charles Morazé 's "Literary Invention," in The Structuralist Controversy: The Languages of Criticism and the Sciences of Man, ed. Richard Macksey and Eugenio Donato, pp. 22-55. Loy D. Martin is an assistant professor of English at the University of Chicago. He has written The Language of Invention, a study of Robert Browning and the genesis of the dramatic monologue. "A Reply to Carl Pletsch and Richard Schiff" appeared in the Spring 1981 issue of Critical Inquiry. (shrink)

The epoch-making revolution that has been taking place in mathematics and physics during the past hundred years is gradually changing our whole conception of reality and of the function of science in regard to it. We have discovered that the “common sense” view of the world which has become ingrained in the feeling-thought habits of Western man, especially since the seventeenth century, contains elements of serious limitation and even an illusion both from the standpoint of immediately intuited experience and (...) from that of demonstrated scientific fact. Moreover, by a long drawn out tortuous process, lasting over many centuries and involving the constant creation and correction of an enormously complicated scientific structure, we have finally arrived at an understanding of what may be the root of our difficulty. It seems that certain peculiarities of the over-all grammatical structure of those languages that have conditioned the feeling-thought world of the West have tended to lead us astray. Their correction, however, has so far been possible only through the invention of new esoteric languages, such as the symbolism of mathematics and the new logic. By means of these “languages of science” modern mathematicians and physicists have at last succeeded in freeing themselves from the shackles of their everyday speech and “common sense” concepts, at least so far as their scientific work is concerned. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Before Science: The Invention of the Friars’ Natural Philosophy by Roger French, Andrew CunninghamIrven M. ResnickRoger French and Andrew Cunningham. Before Science: The Invention of the Friars’ Natural Philosophy. Hants, UK: Scolar Press, 1996. Pp. x + 298. Cloth, $68.95.This is a peculiar book that depicts thirteenth-century natural philosophy as wholly dependent on the theological interests of the mendicant orders. For the Friars, “Natural philosophy was a study (...) in which the central concerns were the detection, admiration and appreciation of God’s existence, goodness, providence, munificence, forethought and provision for His creation” (4). Although conceived as “a positive contribution to the discipline of the history of science” (3), the work begins and ends with the claim that medieval natural philosophers were not engaged in science.One difficulty is that the authors never make clear what they mean by science, although they evidently understand that it entails a repudiation of metaphysics and a doctrine of nature’s radical autonomy. Consequently, for French and Cunningham medieval “science” is a mythic construct of modern historians, since “[t]here was no scientific tradition (in the modern sense of the term ‘scientific’) of looking at nature in the thirteenth century, only a religio-political way of doing so” (273).Thus, when summarizing the accomplishments of Roger Bacon, they note that “[Bacon] has been credited, along with Grosseteste, with creating early ‘experimental science’. Bacon could not of course have been a ‘scientist’ because he lived in the wrong [End Page 623] age for this” (238). This seemingly casual conclusion is rather stunning not only in its own right, but also as a revelation of the authors’ own effort to disenfranchise medieval ‘scientists’ for having had the misfortune of living too soon.French and Cunningham propose that polemical or apologetical interests urged the Friars to study nature as a response to various heretics and especially the Cathars who, seemingly like moderns, sought to disengage the natural world from the Christian God, while using the vocabulary of Aristotle’s libri naturales. However this central argument demands better support. Since the authors can cite only one surviving Cathar text—De duobus principiis (ca. 1230)—almost everything known of this group is derived from anti-Cathar polemics. Based on this single text the authors can say no more than that it used “what looks very much like a commentary on Aristotle’s Physics or Metaphysics,” (134) but fail to identify more precisely its sources. It is clear that thirteenth-century orthodox polemics increasingly relied on Aristotelian materials, but the conclusion that natural philosophers did so only in response to heretics who beat them to the Aristotelian punch seems tendentious. The historian will likely remain unconvinced that the unparalleled translating activity of the late eleventh and twelfth centuries—the rendering into Latin of Arabic scientific knowledge (as in Constantine the African’s Pantegni or Adelard of Bath’s Quaestiones naturales), Greek medical literature (e.g. Galen’s Methodus medendi translated by Gerard of Cremona and Burgundio of Pisa) and mathematics (e.g. Euclid’s Optics, Theodosius’s Spherics, Archimedes’ On the Quadrature of the Circle, and Ptolemy’s Tetrabiblos and Almagest) culminating with thirteenth-century translations of Aristotle’s biological works—should all have stemmed from a preoccupation with heresy.A further shortcoming of this book is the limited attention given to works on natural philosophy by the Friars themselves. The book’s first seven of eleven chapters explore the educational establishments in which natural philosophy arose: first monastic and cathedral schools, and then the universities. The works of individual Friars receive only the briefest summary. Among the Dominican natural philosophers Albertus Magnus—the patron saint of scientists and one of a very few scholastics to have commented on all of Aristotle’s biological works—is awarded only five pages. For his mastery of Aristotle’s libri naturales Albertus has been called “the dominant figure in Latin learning and natural science of the thirteenth century.” (Cf. Lynn Thorndike, History of Magic and Experimental Science [New York: Macmillan, 1929], 2:521) Albertus described not only the natural world but also explored the philosophical foundations for scientific knowledge. Yet curiously French and Cunningham give much more attention... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.2 (2003) 275-276 [Access article in PDF] Zbigniew Janowski. Cartesian Theodicy: Descartes' Quest for Certitude. Dordrecht: Kluwer, 2002. Pp. 181. Cloth, $30.00. Janowski begins this original and erudite work by saying that although "the Meditations have never [before] been interpreted as a theodicy... insofar as theodicy is concerned with examining the relationship between the existence of evil on the one hand and God's (...) omnipotence and benevolence on the other, Descartes's question 'How would the goodness of God not preclude the possibility that nature is deceptive?' is in perfect conformity with, and continues the long tradition of, Christian apologetics" (13). This is not to deny Descartes's primary role in replacing God's causal role in nature with mechanistic science, and his separating religious truth from that of reason. But Descartes also is profoundly concerned with problems of error, evil, God's role in our sins, and Absolute Truth. Janowski is concerned "to show how Descartes' philosophy is derived from the early-seventeenth-century debates over divine and human freedom" by concentrating on the "incongruity between the existence of an omnipotent and benevolent Creator and man's imperfect nature [and] the nature and scope of human freedom" (19). He presents "the problem of error... as the problem of evil; the problem of human will... as the problem of human freedom, and the quest for Certitude... as theodicy, that is, as the vindication of God's goodness and omnipotence" (19-20). His ground for this is his interpretation of Cartesianism as "a kind of epistemological Augustinianism" (20).The view of basic Christian theology is that God is omnipotent and benevolent, and that all his creations are good, so evil is merely the absence of good. According to Descartes, free will makes both error and evil possible. But Augustine says that after the Fall of Man, free will is corrupt and can incline only to evil. So the only good man can do is by way of God's grace, which man cannot resist, for man is not really free to choose between good and evil. But here, Descartes is in disagreement with Augustine. Again, theodicy concerns the problem of the apparent discrepancy between the power of the creator and the imperfections of creation. And the problem is that Descartes's God is an all-powerful being that is absolutely unlimited and creates everything including logical, moral, and legal principles. Descartes's God is not constrained by the principles of non-contradiction (as opposed to St. Thomas's God, who is so constrained). Descartes's argument is that only God is immutable, nothing created is immutable, so no principle created by God, not the Ten Commandments, not the principle of non-contradiction, is immutable.This doctrine of indifferently created eternal truths allies Descartes with the Molinists who argue that God is indifferent in the sense of all powerful, and that humans have a freedom of indifference in that even given grace, they can decide to do either good or evil. This is in opposition to Augustinians and Jansenists who believe that human will corrupted by the Fall of Man can choose only evil until God gives one grace, after which one can choose only good—which, in either case, rules out any notion of freedom of choice between good and evil by an indifferent free will. Descartes believes that we can choose evil even when God gives us grace to choose good. Descartes does follow Augustine in asserting that for God, knowing and willing are the same, in opposition to St. Thomas. But for humans, knowing and willing are separate, and so humans can both err and sin.Descartes's theodicy is that everything depends on God—physics, mathematics, morals, and law. Without God there would be only nihilism. A great difficulty with this doctrine of eternal truths, however, is that it "makes the nature of God completely incomprehensible to man" (102). This is the doctrine of the Hidden God. But in a backhanded way, it saves Descartes's position. He argues that... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:IntroductionLori A. Custodero and Anna NeumannIn this symposium, three scholars present the genesis, meaning, and artfulness of creative work and its realization as aesthetic experience within three educational fields. Lori A. Custodero, working out of music education, provides a perspective emanating from an aesthetic of childhood wonder and playfulness; David T. Hansen, writing out of philosophy of education, discusses how being fully present in the teaching moment leads to (...) meaningful experience; and Anna Neumann, who writes out of the field of higher education studies, represents scholars as engaged in intellectual pursuits, often framed aesthetically, and as struggling to hold on to precious time for creation. Aware of the inherent tensions in learning environments from child care centers to graduate schools, we address ways in which our research has revealed people's sustained pursuit of imagined possibilities, oftentimes amidst perceived impediments.Creative work involves imagining possibilities whereby individuals, alone and together, pose personally relevant questions and pursue fluent pathways of inquiry within the shared meanings of cultural context. At its finest, such work is artful, simultaneously responding to and emanating from immediate circumstance and past experience. It is malleable and vulnerable and compelling, fusing familiar images and surprising perceptions into new "equilibria... stable, even though moving" whereby "changes interlock and sustain one another."1 As scholars and teachers committed to learning, we strive to create and discern meaning between established understandings and emerging ideas and images. As we dance between reception and action, between insight and "onsight,"2 fully attentive to the perceived potentials in our work, we move toward synchrony, experiencing the aesthetic. The realizations that arise from experiences such as these — new or newly reconfigured words, sounds, images, movement, and ideas — express new balances of sense and feeling and, sometimes, beauty. Whether in the shared, artfully expressive vocalizations between the newborn infant and mother or in the scientist's finessing patience with elegant mathematical imagery, creative work invites a drawing together of what we know and what we struggle to know. Over time, the interplay of this work and its realization, [End Page 33] what Dewey refers to as "movement and culmination,"3 creates a momentum that serves to define lives as aesthetic.We have created this symposium as a space for considering the meanings of the aesthetic in lives — from its earliest instantiations in the experiences of infants and young children, to its developed expression in the professional (in this case, intellectual) efforts of adults pursuing scholarly careers, to its representation in teaching as intergenerational fusions of knowledge, learning, and lives. We see the aesthetic as both native and learned; as individually held and formed and felt, and as collectively created and voiced, the product of lives in intersection; as marking bounded moments in time (those instants of compelling "present-ness") and as spreading through years, well beyond bounded present-ness, perhaps as memory. Yet while striving to define the aesthetic in lives, we also strive to understand lives, individually and interactively, as lodgings for the aesthetic, as locations that give shape, form, and voice to beauty and insight, to creativity and learning. As we explore the lives in which the aesthetic finds its home, and within which it forms, we wonder about the extent to which the aesthetic may, in its turn, illuminate the strivings of those lives, including human desires to create, know, learn, understand, sense. We are then collectively concerned with the meanings of the aesthetic in lives and about the lives themselves as "moving spaces" within which the aesthetic can grow.We pursue this theme, centered on the power of the aesthetic to illuminate human lives, out of a realization that current understandings of what it means to be human — and especially what it means to learn and create — have been framed within the rubrics of the social sciences, certainly in productive ways. And yet we suggest that the artful, though powerful in its abilities to voice emotion and beauty, has not been employed as intensively as it might in efforts to understand what it means to create and learn as virtues of human existence, as perhaps the ultimate of human strivings. We hope that these symposium papers will help invigorate such... (shrink)

This chapter concerns the metaethical foundations of Jonathan Glover's project in Humanity: A Moral History of the Twentieth Century. It begins by outlining both Glover's doubts about so‐called external reasons for action and his notion that ethics can be grounded in ‘self‐creation’. A distinction is drawn between nihilism about reasons, and a narrow version of externalism according to which there are reasons to act grounded in self‐creation. A mathematical analogy is used to suggest that the metaphysical and (...) epistemological implications of externalism about reasons may be less worrying than Glover believes. The deep disagreement that persists in ethics, however, does require us often to suspend judgment. The chapter ends by suggesting that, by Glover's own lights, we should think that certain components of common sense morality, such as the acts and omissions doctrine, are significantly more harmful than the ‘monsters inside us’. (shrink)

Any study of the 'Scientific Revolution' and particularly Descartes' role in the debates surrounding the conception of nature (atoms and the void v. plenum theory, the role of mathematics and experiment in natural knowledge, the status and derivation of the laws of nature, the eternality and necessity of eternal truths, etc.) should be placed in the philosophical, scientific, theological, and sociological context of its time. Seventeenth-century debates concerning the nature of the eternal truths such as '2 + 2 = 4' (...) or the law of inertia turn on the question of whether these truths were created along with nature, or were uncreated and subsisting in God's mind. One's answer to that question has direct consequences for conceptions of the necessity/contingency of mathematical and natural knowledge, how knowledge of such truths is accomplished by humans, and what grounds these truths. In this paper, I review the positions of four successors to Descartes' philosophy on the question of the eternal truths to illustrate how in specific ways that question with its theological, metaphysical, modal, and epistemological dimensions concerned the objectivity and certainty of the discoveries of the new science. Author Recommends: Clarke, Desmond. Descartes' Philosophy of Science . University Park, Penn State Press, 1982. This work provides an account of Descartes as a practicing scientist whose rationalism is mitigated by reliance on experiment and experience. Author re-examines Descartes' philosophical and scientific works in this new light. Dear, Peter. Revolutionizing the Sciences: European Knowledge and its Ambitions, 1500–1700 . Princeton, Princeton University Press, 2001. This work provides a useful overview of the issues and thinkers of the Scientific Revolution. Of particular relevance is chapter 8 on Cartesian and Newtonian science. Funkenstein, Amos. Theology and the Scientific Imagination from the Middle Ages to the Seventeenth Century . Princeton, Princeton University Press, 1986. This work is an advanced study of the theological and metaphysical foundations of early modern science. Discussions include questions of God's nature, God's knowledge in relation to human knowledge, providence, the laws of nature, and the truths of mathematics. In particular, chapter 3 discusses Descartes' account of the eternal truths and divine omnipotence. Garber, Daniel. Descartes' Metaphysical Physics . Chicago, University of Chicago Press, 1992. This work examines how Descartes' metaphysical doctrines of God, soul, and body set the groundwork for his physics. It includes a study of God and the grounds for the laws of physics (chapter 9). Henry, John. The Scientific Revolution and the Origins of Modern Science . 3rd ed. New York, Palgrave, Macmillan Press, 2008. This work provides a brief, general, and informative overview of the Scientific Revolution, including the themes of method, magic, religion, and culture. Osler, Margaret J. Divine Will and the Mechanical Philosophy: Gassendi and Descartes on Contingency and Necessity in the Created World . Cambridge, Cambridge University Press, 1994. This work is an examination and comparison of the mechanical philosophies of Gassendi and Descartes. It offers in-depth discussion of the issue of voluntarism and intellectualism in the period and how that related to conceptions of laws of nature and the eternal truths. Shapin, Steven. The Scientific Revolution . Chicago, University of Chicago Press, 1996. This work provides a critical synthesis of as well as a guide to recent scholarship in the history of science for a general readership. Online Materials Dr. Robert A. Hatch's Scientific Revolution Website: http://web.clas.ufl.edu/users/rhatch/pages/03-Sci-Rev/SCI-REV-Home/ A compendium of resources for the study of Scientific Revolution. Early English Books Online: http://eebo.chadwyck.com/home Early English Books Online (EEBO) contains digital facsimile page images of virtually every work printed in England, Ireland, Scotland, Wales and British North America and works in English printed elsewhere from 1473 to 1700. Early Modern Resources: http://www.earlymodernweb.org.uk/emr/ Early Modern Resources is a gateway for all those interested in finding electronic resources relating to the early modern period in history. Gallica, the Digital Library of the Bibliothèque Nationale de France: http://gallica.bnf.fr/ An ever-growing digital library which includes numerous primary and secondary texts of relevance to Descartes and his role in Scientific Revolution. Hatfield, Gary, 'René Descartes', The Stanford Encyclopedia of Philosophy. Spring 2009 ed. Ed. Edward N. Zalta; URL: http://plato.stanford.edu/archives/spr2009/entries/descartes/ Slowik, Edward, 'Descartes' Physics', The Stanford Encyclopedia of Philosophy. Winter 2008 ed. Ed. Edward N. Zalta; URL: http://plato.stanford.edu/archives/win2008/entries/descartes-physics/ Syllabus Sample Syllabus: Cartesian Science The following is five weeks covering Cartesian Science in a course on Descartes or the Scientific Revolution, or 17th-century theories of matter, or related themes on early modern truth and method, especially on the continent. This material is best suited to a graduate level audience, but it could be modified to suit an upper-division undergraduate course, as the readings are basically primary texts whose context and background can be explained in lectures. Week 1: Cartesian Revolution in France • Scientific method • Role of mathematics and experiment • Certainty of scientific knowledge Readings: Hatfield, Gary, 'René Descartes', The Stanford Encyclopedia of Philosophy. Spring 2009 ed. Ed. Edward N. Zalta; URL: http://plato.stanford.edu/archives/spr2009/entries/descartes/ Descartes, Discourse on Method , Parts 1–3 Descartes, Meditations on First Philosophy , First Meditation. Week 2: Descartes' Scientific Treatises • Mechanization and mathematization of nature • Primary–secondary quality distinction Readings: Discourse on Method, Parts 4–6 Selections from Descartes' Scientific Essays: The World or Treatise on Light (ATXI 3–48); Treatise on Man (ATXI 119–202); Optics (ATVI 82–147). Slowik, Edward, 'Descartes' Physics', The Stanford Encyclopedia of Philosophy. Winter 2008 ed. Ed. Edward N. Zalta; URL: http://plato.stanford.edu/archives/win2008/entries/descartes-physics/ Henry, John, 'The Mechanical Philosophy,' chapter 5. The Scientific Revolution and the Origins of Modern Science . 3rd ed. Macmillan, 2008. Week 3: Descartes' Theory of Nature • Descartes' derivation of the law of conservation and the three laws of motion • God's role in the metaphysics and physics of nature Readings: Selections from Principles of Philosophy, Preface (all); Letter to Elizabeth; Part I: 1–8; Part II: 1–45, 55, 64; Part III: 1–4, 15–19, 45–47; Part IV: 187–207. John Henry, 'Religion and Science,' chapter 6. The Scientific Revolution and the Origins of Modern Science . 3rd ed. Macmillan, 2008. Week 4: Post-1650 Cartesian Science: Necessity and Contingency in Nature • Debates on God, Creation, and Causes Readings: Easton, Patricia, 'What is at Stake in the Cartesian Debates on the Eternal Truths?' Philosophy Compass 4.2 (2009): 348–62. Malebranche, Nicolas, 'Elucidation 10', from The Search after Truth (1674). Note: All selections available in Nicolas Malebranche (1992). Philosophical Selections , edited by S. Nadler, Hackett. Gottfried Leibniz (1714) Monadology . Week 5: Causes in Nature and Morals • Theodicy as an explanation of defect and evil in a lawful universe: Malebranche v. Leibniz Readings: Nicolas Malebranche, Elucidation XVI (on occasionalism), and Treatise on Nature and Grace, Discourse One, Part 1. Gottfried Leibniz (1706), Theodicy. Focus Questions Weekly questions can be used to focus the readings. This can be done in a web or e-mail discussion thread, as a weekly assignment, or for in class discussion. I require students to post a short paragraph in response to the question or some posting by a classmate on the question. Students are required to post by 10 a.m. the day before we meet for class on a course website. Week 1: According to Descartes, what role does skepticism play in scientific reasoning? Week 2: Comment on the following: 'But I am supposing this machine to be made by the hands of God, and so I think you may reasonably think it capable of a greater variety of movements than I could possibly imagine in it, and of exhibiting more artistry than I could possibly ascribe to it' [ Treatise on Man ; ATXI 120]. Week 3: What is Descartes' conception of the relation between the metaphysics and physics of nature? Week 4: Critically discuss the positions of Descartes, Malebranche, and Leibniz on what provides the foundation for the certitude of natural knowledge? Week 5: Explain why both Malebranche and Leibniz consider moral sin to be analogous to natural defect? Seminar/Project Idea Hold a debate on the question of the status of the eternal truths. The proposition will be Descartes' position: 'Eternal truths must be both created and necessary if certainty in science is to be possible'. Format: 1. At the beginning of the 5-week module, students will be assigned to one of three roles: Team A, Team B, and judge's panel. Students will be given the debate proposition, but will not be told which team will take the affirmative and which team the negative until the time of the debate. 2. Recommend a variation on the Classic Debate Format to encourage the development of argument: sequence begins with affirmative construction (8 minutes), negative construction (8 minutes), second affirmative construction (8 minutes), second negative construction (8 minutes), first negative rebuttal (4 minutes), first affirmative rebuttal (4 minutes), final negative rebuttal (4 minutes) and final affirmative rebuttal (4 minutes). 3. Judges Panel: will consist of 3–4 judges who will assess the performance of Teams A and B. Judgment should be based on the persuasiveness of the team position. 4. Debate will be held at the end of the fifth week, or semester, whichever makes most sense given the course length and structure. Acknowledgements The author gratefully acknowledges the immensely helpful comments and suggestions by the participants in her graduate seminar on the Scientific Revolution: Benjamin Chicka, Sarah Jacques-Ross, Richard Ross, Marcella Stockstill, and Zohra Wolters. (shrink)

Retrieval practice—the process of actively calling information to mind rather than passively studying materials—has been proven to be a highly effective learning strategy. However, only recently, researchers have started to examine differences between learners in terms of the optimal conditions of retrieval practice in applied educational settings. In this study (N = 118), we focus on learners with dyslexia. We compare their performance to the performance of typical learners in an adaptive retrieval practice task using both typing-based and speech-based response (...) conditions. We find that typical learners outperform learners with dyslexia when they are asked to respond by typing, but that this difference disappears when learners respond by speech. Using a mathematical model to decompose response times, we demonstrate that this typing-specific disadvantage in learners with dyslexia is mainly a consequence of processing delays, rather than poorer memory performance. These findings contribute to a better understanding of the mechanisms underlying declarative learning in dyslexia, and they can be used to tailor educational technology toward the needs of neurodiverse learners. (shrink)

What kind of experience might help to confirm and make sense of the puzzling belief in divine creation, so central to the main monotheistic religions? Anselm and Aquinas developed a philosophical understanding of 'Creation' as an asymmetrical relationship between the world and God i.e. that the world is really related to God in a relationship of total dependence but God is in no way really related to or modified by this created world. This idea of an asymmetrical (...) relationship is the key concept unifying all aspects of this book which discusses the three main inter-related questions in a philosophical discussion about God -- the question of meaning, the question of existence, and the question of co-existence.The book explores various 'ciphers' of this asymmetrical relationship in our pre-philosophical lived experience. These are experiences such as that of the relationship between our knowledge and what we know, or our sense of obligation to our vulnerable neighbour. It argues that deciphering such experiences helps to make sense of the 'asymmetrical' relation of creation and that it in turn makes sense of them. Masterson argues further that this idea of asymmetrical relationship provides insight into the main questions of philosophy of religion and is an illuminating source of critical dialogue with contemporary Anglo/American and Phenomenological approaches in philosophy of religion. (shrink)

Rene Descartes's motto challenges his would-be historians: "He lives well who hides well." He hid even in the Discourse on Method, where he professed to recount the story of his "entire life, " but said almost nothing about his childhood and youth. He mentioned neither family nor friends, and he boasted a total freedom from irrational passions. In the Discourse, which presented a new way of achieving certain truth through mathematical reason, Descartes stressed just one event, a day of (...) thinking at the beginning of winter, 1619. Tucked away in an unpublished notebook, however, Descartes also left the Olympica, which documented the wildly irrational dreams he had the night of November 10, 1619, and gave his own enthusiastic interpretations. Embarrassed scholars have tried to reason away this record and even the dreams themselves. Adapting clinical methods to historical research, John Cole offers the first systematic interpretation of the Olympian dreams. He argues that they expressed and masked Descartes's unresolved conflicts: his guilt at having rejected the law career for which he had been trained and which his lawyer father had wanted him to pursue, and his shame over early failures to satisfy the high expectations of his friend and mentor, Isaac Beeckman. Cole shows us how a critical historian can make sense of such irrational material and lets us see the creation of an egocentric and rationalist philosophy. (shrink)

The paper discusses the philosophical conclusions, which the interrelation between quantum mechanics and general relativity implies by quantum measure. Quantum measure is three-dimensional, both universal as the Borel measure and complete as the Lebesgue one. Its unit is a quantum bit (qubit) and can be considered as a generalization of the unit of classical information, a bit. It allows quantum mechanics to be interpreted in terms of quantum information, and all physical processes to be seen as informational in a generalized (...) sense. This implies a fundamental connection between the physical and material, on the one hand, and the mathematical and ideal, on the other hand. Quantum measure unifies them by a common and joint informational unit. Furthermore the approach clears up philosophically how quantum mechanics and general relativity can be understood correspondingly as the holistic and temporal aspect of one and the same, the state of a quantum system, e.g. that of the universe as a whole. The key link between them is the notion of the Bekenstein bound as well as that of quantum temperature. General relativity can be interpreted as a special particular case of quantum gravity. All principles underlain by Einstein (1918) reduce the latter to the former. Consequently their generalization and therefore violation addresses directly a theory of quantum gravity. Quantum measure reinterprets newly the “Bing Bang” theories about the beginning of the universe. It measures jointly any quantum leap and smooth motion complementary to each other and thus, the jump-like initiation of anything and the corresponding continuous process of its appearance. Quantum measure unifies the “Big Bang” and the whole visible expansion of the universe as two complementary “halves” of one and the same, the set of all states of the universe as a whole. It is a scientific viewpoint to the “creation from nothing”. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Newton's Metaphysics: Essays by Eric SchliesserMarius StanEric Schliesser. Newton's Metaphysics: Essays. Oxford: Oxford University Press, 2021. Pp. 328. Hardback, $99.90.Newton owes his high regard to the quantitative science he left us, but his overall picture of the world had some robustly metaphysical threads woven in as well. Posthumous judgment about the value of these threads has varied wildly. Christian Wolff thought him a metaphysical rustic, as did Hans (...) Reichenbach some two centuries later ("Die Bewegungslehre bei Newton, Leibniz und Huygens," Kant-Studien 29 [1924]: 416–38). In the 1960s, the tide would turn, as Howard Stein and James Edward McGuire separately began to show that Newton's metaphysics was not just sophisticated, but often more compelling than its early modern alternatives (see respectively "Newtonian Spacetime," Texas Quarterly 10 [1967]: 174–200; and Tradition and Innovation: Newton's Metaphysics of Nature [Dordrecht: Kluwer Academic Publishers, 1995]). Eric Schliesser's book unfolds in that same register of appreciative, high scholarship, and it attests to the enduring attraction of its subject.The book grew out of previous discrete papers, to which he added a few more for this occasion. Accordingly, it does not come with a master argument. Rather, it is an in-depth exploration of some key metaphysical themes in Newton. As such, it befits its subject figure, who reflected on themes and concepts while stopping short of working out systems.The first major theme is Newton and Spinozism. The latter does not denote Spinoza's metaphysics. In fact, Schliesser explains, Newton shared with Spinoza some weighty commitments, for example, to space being actually infinite, and to substance monism: "for Newton, there is strictly speaking only one genuine substance," namely, God (33). Rather, "Spinozism" is an interpreter's category for a bundle of three theses: identifying God and nature; denying final causation in the physical world; and the assumption of "blind" metaphysical necessity. Some counted Hobbes and John Toland as Spinozist in this sense, and even Epicurus, avant la lettre. Newton and his followers argued vehemently against this package, as Schliesser shows in chapters 4, 5, and 8. Their chief complaint was that Spinozism is unable to account for the "origin of motion," for a certain type of order, and for the stability of cosmological structure—and to do so in a way that "meets the standards of Newtonian mechanics" (122). This interpretive lens allows Schliesser to draw Kant in, by reading his youthful Theory of Heaven as a possible Spinozist reply to their objections (chapter 3). [End Page 157]A second theme is the metaphysics of mechanics, where Schliesser weaves together several strands. One is the ontology of gravity, for which he offers a novel construal: for Newton, gravity counts as real, but in a qualified sense. Namely, it is not essential and not intrinsic: "even after creation, a lonely partless particle of matter in the universe would not be said to gravitate." And gravity is relational: a "shared quality" of two or more bits of matter, which obtains in virtue of their sharing a nature (19). Another strand is Newton's ontology of time—really, a subtle, difficult topic long neglected. Famously, Newton in Principia defends absolute, true, and mathematical time. The question is what these three qualifiers denote, and whether Newton thought they were synonymous. Schliesser in chapter 7 argues for the provocative view that "absolute" and "true" time are not identical concepts; rather, they pick out different entities. These entities share a common structure, namely, metric and topological. That makes them species of "mathematical" time (179). But, Schliesser contends, Newton has unequal warrant for his two concepts of time.Yet another theme is formal causation. It comes to the fore in chapter 5, which grapples with Newton's opaque idea that space is an "emanative effect." Schliesser explains that here, "emanation picks out a species of formal causation" (147), but in a novel, early modern sense that comes from Bacon, not Aristotle. If space has a formal cause, then so has its twin brother, time, the topic of chapter 7. God is their common formal cause. Then in chapter 6 (coauthored with Zvi Biener) Schliesser adds that, for Newton, laws... (shrink)

The original view of Joseph Życiński, presented in his book _The Structure of the Metascientific Revolution _(1988), boils down to the observation that almost before our eyes a great revolution took place, not in science, but in the philosophy of science, that is the meta-scientific revolution. His concept of the meta-scientific revolution grew out of his fascination with the revolution that took place in the foundations of mathematics in the first decades of the twentieth century. Whether a change in science (...) deserves to be called a revolution is determined by whether the transformations it underwent also reached the meta-level. The set of presuppositions underlying transformations on the meta-level Życiński calls ideata. One of the aims of this article is to critically reconstruct the meaning of this term. The action of Życiński’s book takes place mainly on meta-level, but the meta-level constantly interacts with what is happening in science itself. The book sometimes makes an impression as if it were a study of the history of science, but history of science in a specific sense – something like a “sampling” of history with numerous examples. Among the creations of human thought, it is difficult to point to an area that changes more dynamically than science itself, but looking at it from a meta-perspective allows us to grasp those of its features that operate on a much broader scale. (shrink)

The work of David R. Lachterman, The Ethics of Geometry, subtitled A Genealogy of Modernity, concerns essentially the status of geometry in Euclid’s Elements and in Descartes’s Geometry. It is a remarkable work, at once by the declared breadth of its ambitions and by the very great precision of its analyses, which are always supported by a prodigious philosophical culture. David Lachterman’s concern is to grasp, by way of an in-depth commentary of certain, particularly crucial passages of these two foundational (...) works, the change in geometry’s status from the one to the other, and this, as a sort of symptom of what the Moderns, since Descartes, will always experience as a necessary, inaugural rupture with regard to tradition. This change is underlaid, according to the author, by a profound change in the philosophical ethos, and in particular, in the geometer’s ethos. One must understand ethos, Lachterman explains, in the manner of Aristotle: those characteristic means that human beings have by which to act in the world or to behave in relation to one another, or to themselves. There is thus an “ethics” of geometry, namely, in the manner and the style of doing geometry, of behaving as a mathematician both toward apprentices and toward the veritable nature of the “entities” which are to be taught or learnt, and which give their discipline its name. That there is a difference of ethos between Euclid and Descartes implies, according to Lachterman, that there is also a difference in the source of intelligibility of the “mathematical,” understood in the most general sense. This in turn implies a deeper difference in the mode of being in general: it suffices to note that, in the ancient case, the source of intelligibility of the geometric figure lies in the nature of the figure itself, and that in the modern case, the same source is found in the “strategies” and “tactics” suited to bringing the figure to its visibility or to its embodiment, 315 in order to notice that this change in the mode of access to intelligibility must have had profound repercussions upon philosophical thought. It is in this sense that the author’s design is also, at the same time, not genetic, but genealogical. The break between ancient and modern mathematics pleas in favor of a consideration of the rupture of modern thought relative to ancient thought; thus, implicitly—and it is one of the great merits of this book that it shows this—against all homogenizing levelling, in Heidegger’s fashion, of the history of thought down to the history of “the” discipline of metaphysics. If there is something Heideggerian, in the best sense of the term, in Lachterman’s way of considering ethos as coextensive with modes of being, there is, on the other hand, and we ought to be very glad of it, something anti-Heideggerian in his original manner of bringing out the effective novelty of modern thought. For, according to him, modern thought is no longer to be defined, explicitly or exclusively, by the so-called “metaphysics of subjectivity.” Instead, it is defined by a self-regulated, operative, and constructive productivity of thought—and this as much with regard to itself as to its objects. To put it briefly, whereas ancient thought is rather polarized by the logico-eidetic, modern thought is polarized by a sort of methodical constructivism, the status of which is, in reality, very complex. If Descartes speaks of “the construction of a problem,” while Leibniz speaks of the “construction of an equation,” and Kant of the “construction of a concept,” everything depends—as we might guess—upon the multiple meanings that the term ‘construction’ may take on. Is it to be taken in the sense of an absolute creation, a quasi ex nihilo creation, which would render mathematics divine? Is it the creation of artefacts, or again, is it the methodical exploration of problems posed to thought by the existence of objects or corresponding ideas, themselves supposed to be somewhere in the divine understanding? We already discern the breadth and the depth of the debate, and we sense that the essential will be played out in Lachterman’s commentaries on the famous Cartesian solution of the problem of Pappus—the birth certificate, as we know, of analytic geometry. (shrink)

Writing, the exigency of writing: no longer the writing that has always (through a necessity in no way avoidable) been in the service of the speech or thought that is called idealist (that is to say, moralizing), but rather the writing that through its own slowly liberated force (the aleatory force of absence) seems to devote itself solely to itself as something that remains without identity, and little by little brings forth possibilities that are entirely other: an anonymous, distracted, deferred, (...) and dispersed way of being in relation, by which everything is brought into question – and first of all the idea of God, of the Self, of the Subject, then of Truth and the One, then finally the idea of the Book and the Work so that this writing (understood in its enigmatic rigor), far from having the Book as its goal rather signals its end: a writing that could be said to be outside discourse, outside language. – Maurice Blanchot ( The Infinite Conversation , xi) The Compendium * Beginning with the idea and practice of writing, and moving to the subject or self, then to truth and the One, and arriving at the Book and the Work, Blanchot’s words reflect the trajectory of the following work of writing. True to the embeddedness of the subject in the work of writing, the term “Compendium” has been a metonym for me over the past few years as I have thought about the concept of totality alongside its expression in figures such as the One, the Whole, or the All. In the following I aim to share some of the content of this metonym, and to enrich it by making some distinctions. 1 Here the term “Compendium” will refer to a concept of totality that is ontological (pertaining to being, and the copula) and also textual (pertaining to the symbolic, and the signifier-signified relationship). The Compendium is a figure for thinking the world as a Book, in the broadest sense—an approach to reality that is by no means new, but one that is due for renewal. 2 In partial answer to the question of the Compendium we will say that the word ‘Compendium’ stands in for expressions which seek to totalize, or concepts which seek to approach the concept of ‘everything,’ particularly when these expressions are bound up in the question of the Book (both the book as a physical object and the Book as a metaphysical figure: a way of thinking about the work in and of writing). The question of the Compendium is strongly associated with the physical and metaphysical form of the Book, like the mysterious and symbolic books which are opened in the Biblical book of Revelation, the book of life and the book of death, which together constitute an important couplet. 3 Parataxis & Hypotaxis There are two helpful distinctions that will bring us closer to an answer to the question “What is a Compendium?” The first distinction is between two figures in and for writing: parataxis and hypotaxis . Typically paired in contrast to one another as literary techniques, with parataxis indicating a side-by-side placement of textual elements and hypotaxis referring to subordinate arrangements of textual elements, the two figures can be understood as having a philosophical significance in addition to their practical function as devices for writers. For us these two terms will remain between philosophical theory and writing practice, and serve as a perspective for our writing and creation of texts. Here I take texts to refer to anything from the concrete written words in a book, to the ontological text of the world that we experience. Parataxis , as a figural way of thinking about the ontological structure of texts, refers to texts which are tightly woven and interdependent – texts within which each sentence bears the weight of the entire work. Parataxis often involves repetition, great density, and fragility. One of the best examples of this sort of text is Theodor Adorno’s posthumous magnum opus , Aesthetic Theory . In addition to the text itself, the translation history of the book may also help us to better understand parataxis and its relation to hypotaxis . The final published version of Aesthetic Theory , in German, was a text that Adorno intended to revise and rewrite, but this intention was never realized because of his untimely death. Where the German text of Aesthetic Theory certainly exemplifies the concept of parataxis , the first English edition took this densely woven text and carved Adorno’s lengthy paragraphs and lengthy sentences into manageable ‘bite-sized’ pieces of English text. The first translator took further liberty and inserted headings and new paragraph breaks where there were none in the original. Aesthetic Theory was eventually retranslated by Robert Hullot-Kentor and is now available in a form that is much more faithful to the original work. 4 The pertinent idea that this translation history points to is the distinction between parataxis and hypotaxis . Where parataxis describes texts which are repetitive, densely woven, and often fragile, hypotaxis describes texts which are hierarchical and in which the primary relation is linear – the latter of which is very similar to the first English translation of Aesthetic Theory . On the other hand, the original German text that Adorno wrote was very dense, often repetitive, and contained long sections of text unbroken by paragraphs or headings. This example of parataxis was then turned towards hypotaxis through the initial translation which took a text that was, in many ways, nonhierarchical and nonlinear, and artificially subjected it to a hierarchy that was not its own (and here I take the word of Fredric Jameson who comments on the two translations in a note at the beginning of his book Late Marxism ). 5 The point here is not about translation, but rather the distinction between parataxis and hypotaxis precisely as they are figures for discourse, written or otherwise. The concept of parataxis looks far more postmodern and rhizomic than the concept of hypotaxis which remains very modern and arborescent. This is a more figural way of talking about the distinction. However, if we wanted to take a more precise and analytical approach we could say that on the level of form parataxis involves a relationship between sentences and paragraphs in which each part bears an equally crushing responsibility to present the whole content of the text. As well, on the level of content, parataxis requires that each concept in a work take on the full conceptual weight of the total work. Continuing the analysis, we could say that parataxis describes texts in which there is no (or very little) linear or causal move from antecedent to consequent, whether in content or form. Instead, parataxis describes texts which weave together concepts via conjugations or associations. The concept of hypotaxis , on the other hand, requires that texts submit themselves to hierarchy, one example of which is logical argumentation. The contingency of the conclusion upon premises in hypotaxis is certainly distinct from the repetition, re-presentation, and conjugation of concepts in parataxis , and I think that this is evident in the difference between the writing styles prevalent in contemporary Analytic philosophy and Continental philosophy. It is not the case that the distinction between parataxis and hypotaxis absolutely corresponds with the writing styles of Continental and Analytic philosophy (respectively). There are thinkers who take exception to this pattern, such as Badiou’s more formal approach in the discourse of Continental philosophy to give one example. However, when Analytic philosophy takes its writing lessons from the sciences, and seeks to do philosophy via the clean linear move from antecedent to consequent, then I think that Analytic philosophy writes with hypotaxis in mind. On the other hand, when Continental (particularly German and French) philosophy takes its writing lessons from narrative or poetry then Continental philosophy writes with parataxis in mind. It is not fair to say that all those writing Continental philosophy are looking to narrative and poetry for stylistic direction, just as it is not the case that all those writing Analytic philosophy have mathematics and science as their writing format, however there are some striking ways in which the differing epistemologies of Continental and Analytic philosophy encourage writing with parataxis and hypotaxis in mind (respectively). For some, writing with parataxis or hypotaxis in mind is a conscious decision and a product of stylistic self-consciousness, and for others it is an unconscious discursive and epistemic requirement that must be met in order to be involved in a particular discourse. Before moving on to our second distinction, and then an examination of the question of the Book, it is important to point out that both totality and figurations like the One, the Whole, and the All, come out of very human desires to totalize or to actualize our being-towards-totality. The relationship between identity and totality then can be construed, with Heidegger in mind, as striving toward wholeness, completion, or fulfillment, each of which is a quality of compendia. 6 Compilation & Selection The first distinction between parataxis and hypotaxis pertains to both form and content, and to both the mechanics of writing and the ideas to which writing refers. The second distinction pertains to both as well. In the process of writing and in the process of perception as well, there is a tension between compilation and selection . To begin with, in the work of theory-writing there is compilation, and this is because writing theory requires a broad perspective and certain measure of totalization. On the other hand, writing theory requires that the writer select an idea or a combination of ideas to individuate out of a radical and infinite multiplicity of identities and combinations. The concern here is not primarily for the writing of a theory about a specific idea, like a secondary work or a reference text. But rather the concern is with the writing of grand theories: Marx and Marxism, Derrida and Deconstruction, Husserl and Phenomenology, Sartre and Existentialism, Saussure and Structuralism —each of which strives along a trajectory towards being all-encompassing, whether it intends to or not. Today, we could even say that Speculative Realism has embarked on this journey, and perhaps now we could say that the discourse of Speculative Realism has reached the inevitable point after which a grand theory leaves the hands of its writer or writers and becomes a possession of the collective consciousness of the academy, or (perhaps now) the mass consciousness of the blogosphere—and this is a true pharmakon , a poison and a cure, a blessing and a curse. 7 When we write theory, whether the scope is that of a grand theory or a particular theory, we write in the tension between compilation (making good on the desire to be all encompassing) and selection (being required to decide and discern and to judge what is included in the work and what is deleted or appended or abridged or given over to ellipses). Generally speaking, the work of theory-writing often comes out of a desire to totalize, that is, to develop a theory of everything that is able to apprehend new experiences and ideas while still remaining whole. I grant that this is not a universal desire, and that not everyone who sits down to write a work (or book) of theory does so because of their will-to-totality, but it remains that this drive to totalize does condition a great many writers of theory (especially those who seek to develop grand theories like those mentioned previously). At the beginning of his book of interviews, Between Existentialism and Marxism , Sartre is quoted as saying, after completing the first volume of his Critique of Dialectical Reason : “I no longer feel the need to make long digressions in my books, as if I were forever chasing after my own philosophy. It will now be deposited in little coffins, and I will feel completely emptied and at peace—as I felt after Being and Nothingness . A feeling of emptiness: a writer is fortunate if he can attain such a state. For when one has nothing to say, one can say everything .” 8 This is where our two initial distinctions come to bear on the being-towards-totality as it is expressed in the concrete practice of writing: the first being between parataxis and hypotaxis , and the second being between compilation and selection. Where this second distinction is concerned there is a certain paradox at play given that selection is inescapable, and compilation is unachievable. Selection is inescapable (with the figure of the Compendium in mind) because, even when the imperative to compile is followed to excruciating lengths, selection still has the last word. This is why the Compendium is a figure rather than some material thing that can actually be accomplished or actualized. No matter how far one goes along with the will-to-archive and the will-to-compile, it is only ever a question of minimizing selection and never eliminating it. This leads to the second point, which is that total compilation is unachievable. The closest thing to total compilation that we have before us is the ontological and textual fabric of the world. Even in the case of the world, compilation cannot be enacted in a total fashion because of the need to include both the sphere of the actual and the sphere of the possible or potential. This as another way in which compilation is always-already selection, and further evidence that total compilation is practically impossible. Discursive Figuration and Total Writing Rather than figuration referring to a figure of speech or an image, here the term points to a way in which to think about the work of writing, both the work put into writing, and the work that is the result of writing: the finished yet incomplete final piece. As figures or figurations, the Book and the Compendium are ways of thinking about the work of writing and the human desire for the wholeness, completion, and fulfillment that are made manifest in the completed form of the book (whether a published or printed or saved document put to rest by the author). These two figures bear more strongly upon works that seek to be all-encompassing, and works that strive towards expressions of totality such as the One, the Whole, or the All. Moving on to the topic of the subtitle, and on a more prescriptive note, I would say that there is more hope for theory-writing to be found in parataxis than hypotaxis . Part of the reason for this claim is the poststructuralist critique of hierarchies, and yet another part is the compelling line of thinking called “weak thought” (in theology by John D. Caputo, and in philosophy by Gianni Vattimo, among others). 9 The consequences of these two convictions are such that if one is to strongly assert the truth of a grand theory without leaving the realm of hierarchy-critique and weak thought, then one must write paradoxically with parataxis in mind, and in so doing write weakly and non-hierarchically. This does not mean avoiding a sort of topography or topology when writing theory, rather it means avoiding both subjugation and oppression in thought by pursuing a nonviolent sort of ontology. In order to do this, theory writing does not present itself as an exercise in logical analysis where one mechanically moves from a set of premises (via contingency) to the inevitable conclusion (via necessity). Instead, theory approaches the idea of a Compendium. Given that the figural Compendium places parataxis and compilation above hypotaxis and selection, then the question becomes: is placing one part of a binary term before another not just another way of selecting, or another expression of hypotaxis ? Counter to the urge to resign oneself to the reign of selection, with some qualification one can nonetheless write without deciding whether selection and hypotaxis should be subservient to compilation and parataxis (which is to say that writing-without-decision is somewhere between and beyond possibility and impossibility). This dilemma can be disarmed by stating that theory writing is not about primacy, and not about having-decided-beforehand, both stylistically and also where content is concerned. This is the paradox of writing: always striving along a trajectory ( telos ) towards totality via parataxis and compilation, but always being drawn back to finitude and making selections, and placing one idea before another with hypotaxis in mind. In light of this paradox, the question of the Compendium as a figure for discourse and a figural Book has resonance with Jacques Derrida’s essay on Edmund Jabès’ Book of Questions , found in his Writing and Difference . The Question of the Book “Little by little the book will finish me.” 10 Derrida quotes Jabès, and proceeds to outline the reflexive relationship between the author of the book and the book itself, each of which are subjected to the other through a sort of chiasmus, both ontological and textual (not that the two are entirely separable). The Book, for Derrida like Blanchot in the introductory quotation, “infinitely reflects itself” and “develops as a painful questioning of its own possibility”, and in light of this we can draw an association with the painful tension between the practical reality of selection and the ideal trajectory of compilation. 11 This tension in writing, between the will to total compilation and the necessity of abridgment, is an ontological tension between part and whole just as it is a textual tension between signifier and signified. The ontological tension in writing that Derrida expresses in his essay on Jabès is between everything and nothing – a contradiction which Derrida finds in Jabès’ Book of Questions and also in the divine, in God. When one writes between compilation and selection one writes towards totality, and here we can follow Derrida who states that the lapse in signification, presumably in the signifier-signified discrepancy, is a “ rupture with totality itself” and furthermore that this lapse cannot be rectified through deductive reason or even philosophical discourse. 12 This rupture with totality, found in the troubled relation between signifier and signified, can also tell us a lot about the Book and about writing. Given an understanding of writing as an ontological act that strives towards (but never accomplishes) totality, we can see the written book as the manifested and given body of that striving. Perhaps in other disciplines or even other schools of philosophy there is a cultural climate within which the article is prized above the book, but I am fairly confident, especially when referring to the grand theories of Continental thought, that there is a respect for the book as a uniquely meaningful object capable of apprehending totality. Derrida writes, Between the too warm flesh of the literal event and the cold skin of the concept runs meaning. This is how it enters into the book. Everything enters into, transpires in the book. This is why the book is never finite. It always remains suffering and vigilant. 13 Here the vitality of the literal event is compromised by the deadening weight of the concept, and the figure of the Book assists in this lapse of meaning. The Book is a totalizing object, much like the figure of the Compendium, and yet this totalization lacks its final object of completed totality both because the figural Book is necessarily incomplete, and because the physical book is always-already a product of selection. Instead of achieving its end of being a place where everything takes place, it suffers from the lapse of writing, the discrepancy between event and concept. Derrida continues his exposition on Jabès by bringing to light yet another reflexive relation, a reversal of the relationship between the Book and the world. Derrida writes that, for Jabès, “the book is not in the world, but the world is in the book.” 14 In addition to what was stated before, I take figuration to mean that the concepts employed, such as the Book or the Compendium, are not subject to the supposed rigor of analysis that is so prized by Enlightenment or Capitalist realisms. The figure of the Book and the figure of the Compendium cannot be held accountable to standards imported from scientific method, given an understanding that these standards require a concept to be replicable, consistent, falsifiable, measurable, and so on… This is an important point to make, especially in the present atmosphere within which theory must justify itself under conditions that are not its own. Instead of being held to these standards, figuration serves as a way in which to think about writing that leaves thought open to idealistic speculation, imperfect analogies, and most importantly the ever-present gain and loss that occur in the relationship between thought and being. By extension the figural way of addressing writing indulges in enough generalization to accommodate the excess/lack relationship between the ideal form of the Book or the Compendium, and the manifested and given body of a text (as it is practically completed and closed). Here we speak against the hostile atmosphere which would have theory submit itself to hierarchical rigor, rather than Blanchot’s “enigmatic rigor”, by being explicit about the discursive conditions and epistemic conditions under which theory operates. To write with parataxis in mind is, to a certain degree, to write with weakness as one’s methodology (with weak thought being in opposition to hypotaxis and hierarchy as much as weak thought can be in opposition to anything). Rather than asserting the strength of hierarchical theory, and rather than employing antagonistic argumentation with the goal of refutation different discursive and epistemic conditions for theory writing must be cultivated (and these are by no means new). First the critical and theoretical spirit reveals itself as being concerned with the task of complication—especially the complication and critique of binaries, dichotomies, dualities, polarities, paradoxes, parallaxes, hybridities, and especially antinomies. Second, theory positions itself as a sort of showing or revealing, rather than being ultimately focused on coming to full agreement or disagreement. This is where figuration can help theory-writing, both by placing emphasis on teleologies and trajectories (like parataxis and compilation), and by shifting focus away from pure primacy, power, or absolute origin. Figuration then, assists theory writing by placing the concern of theory outside of the concerns of the hard or soft sciences, and into the realm of thought or the idea. To speak of ‘the’ Compendium or ‘the’ Book, here, is to generalize not regarding the perfect form of the Compendium or Book, but to engage speculatively with an abstract idea which remains singular and yet complicated by multiplicity. The question of the Book that Derrida asks through Jabès is a question of everything and nothing, totality and nonbeing, and this question is a concern for writing and a concern for the figure of the Compendium so defined by the tension between compilation and selection, and parataxis and hypotaxis . On the note of nonbeing, we can look to the final page of Derrida’s first essay on Jabès in Writing and Difference and notice the introduction of his neologism, différance (with an ‘a’). Derrida writes: Life negates itself in literature only so that it may survive better. So that it may be better. It does not negate itself any more than it affirms itself: it differs from itself, defers itself, and writes itself as différance . Books are always books of life (the archetype would be the Book of Life kept by the God of the Jews) or of afterlife (the archetype would be the Books of the Dead kept by the Egyptians). 15 This introduction of différance into the equation of the Book, alongside ontological affirmation and negation, hearkens back to the discussion of the symbolic lapse earlier in his essay. Differing and deferring, the Book is always a Book of Life and a figure for the intersection of the vital (life) and the total in writing. In a way, the writer of the Book may be someone who lives life, and in another way the writer of the book-as-object may be someone who engages in the act of writing, both practically (by inscribing words on paper, or typing script on a computer) and ontologically or symbolically (by investing their existence and inexistence into a work worthy of the figural Book). In addition to the writer as writer, the writer also serves as an editor, and the editorial role alongside the idea of the Compendium shows the editor to be one who collects and compiles, while being restrained by eventual selection and decision. Beyond this the editor of works and texts, in both the Book and the world, is engaged in a process of inscribing notation—of annotating (on) the Compendium. Eternal commentary is a feature of the textual Compendium, just as open-ended totality describes the ontological Compendium. The writer as writer does not simply write texts, but rather engages in a profoundly ontological act of inscribing their existence into the world, and the writer as editor does not merely annotate or alter texts as they are, but rather comments upon the text of the world. In/Conclusion So as we create texts, and as we write and create theory, let us be and remain attentive to the figure of the Compendium and the figure of the Book. These two concurrent metonymies are essential for total writing (grand theories, etc.), and may be forgettable for those concerned with fragmentary or hierarchical writing (which are valid in their own right). From the ontological and symbolic text of the world and phenomenological experience, to concrete texts such as books or mixed media, the figure of the Compendium and the figure of the Book are important for the actualization of the human will to be all-encompassing. The figure of the Compendium teaches writers of theory that the repetition, density, and fragility of parataxis offers a strong sort of weakness which does not become yet another variety of oppressive and hegemonic thought. Rather than write with hypotaxis in mind, subjugating one thought to another via cause and effect or antecedent and consequent, I would hope that theory-writing could guiltlessly indulge in the dialectical and contradictory conjugation of ideas, and take this as a legitimate methodology. Rather than being ashamed of showing resonances or giving way to abridgment or ellipses, it is my own authorial (but not authoritative) conviction that one need not give up on totalizing and constructing grand theories because of the fact that complete totalization is impossible, and one need not give up on totalizing and constructing grand theories because of the worry of violence, for the Book and the Compendium lack their completed object and are ever incomplete trajectories. NOTES * UPDATED 7/19/13: we've updated the HTML version to reflect the (correct) PDF version. Our apologies to the author—eds. 1. I would like extend thanks to Dr. Peter Schwenger of the University of Western Ontario for his comments on this paper and his hospitality as it was presented as a Theory Session at the Centre for Theory and Criticism on October 26th 2012. I would also like to thank Andrew Weiss for conversation and critique. 2. I should clarify my use of the term ‘figure’ at the outset. Given the use of the term by Jean-Francois Lyotard in Discourse, Figure (and also Gilles Deleuze in Francis Bacon ), I should state clearly that my use of the term will not correspond to the term ‘figure’ understood as the representation of an object. Instead, my use of the term ‘figure’ and its variations (‘figural’, ‘figurative’, ‘figuration’) will refer to the illustrative or metaphorical use of the Compendium or the Book as models or ways of thinking about writing and discourse. 3. Cf. Revelations 20:12-15. 4. Theodor Adorno, Aesthetic Theory , Trans. Robert Hullot-Kentor (London & New York: Continuum Press, 1997). 5. Fredric Jameson, Late Marxism: Adorno, or the Persistence of the Dialectic (London & New York: Verso, 1990), ix-x. 6. I have written about this concept of being-towards-totality elsewhere in two pieces of writing: the first is called Notes on the Compendium (an unfinished draft) which addresses some very wide theoretical concerns, being structured as a sort of itinerary or archive, and the second is Dialectics Unbound (Punctum Books, 2013) which outlines a concept of totality without the violence of totalization. While these works are more concerned with ontological totality, here I would like to focus on the idea of the Compendium as a textual totality. 7. Cf. Louis Morelle, “Speculative Realism: After Finitude and Beyond, A vade mecum” in Speculations: Journal of Speculative Realism . Issue 3 (Brooklyn, New York: Punctum Books, 2012), 241-272. 8. Jean-Paul Sartre, Between Existentialism and Marxism . Trans. John Matthews (London & New York: Verso, 1974), 9. 9. Cf. John D. Caputo, The Weakness of God (Indiana: Indiana University Press, 2006). 10. Jacques Derrida, “Edmond Jabès and the Question of the Book” in Writing and Difference . Trans. Alan Bass (Chicago: University of Chicago Press, 1978), 65. 11. Ibid, 65. 12. Ibid, 71. 13. Ibid, 75. 14. Ibid, 76. 15. Ibid, 78. (shrink)

To explain the interaction of stillness and motion of thought, Nicholas Cusanus formulated his renowned comparison with a cosmographer, which through five gateways, corresponding to the five senses, receives information about the world in the form of messages. What follows therefrom is not directly an analysis of the world but of the Creator, whom the philosopher mirrors in himself as a creator of scientific symbols.Cusanus was repeatedly suspected of Pantheism. What is crucial, however, for the critique of reasonning is the (...) parallelism, that God's omnipresence in his creation corresponds to a universal capacity of the human mind to perceive everything by means of a hypothetical otherness . Therefrom proceeds the general projection that everything can be seen in mathematical terms. Mathematical calculating, working with figures, reducing to units, leads Cusanus to God's creative power as much as to the functioning of the intellect.However, his renowned mental experiments on the minimum and maximum were purely in pursuit of the goal of describing the fluid frontiers of defined thought. This is also true of his cosmology. Cusanus argued mathematically in order to prove the non-mathematical and the non-realistic. (shrink)

It is a notion commonly acknowledged that in his work Timaeus the Athenian philosopher Plato (_c_. 429–347 BC) laid down an early chemical theory of the creation, structure and phenomena of the universe. There is much truth in this acknowledgement because Plato’s “chemistry” gives a description of the material world in mathematical terms, an approach that marks an outstanding advancement over cosmologic doctrines put forward by his predecessors, and which was very influential on western culture for many centuries. (...) In the present article, I discuss inter-transformations among Plato’s four types (fire, air, water, and earth) as well as the interpretation they received in the literature. I find that scientists and scholars generally emphasized (and often misunderstood) mathematical aspects of these “reactions” over the philosophical ones. I argue that Plato’s “chemistry” in fact bears on crucial topics of his philosophical system, such as Forms, Becoming, causation and teleology. I propose that consideration of these doctrines help to understand not only the sense of his “chemical” reactions, but also the reason why their stoichiometry is by surface balance and is restricted only to types that come to be and pass away but not to those that provoke the inter-transformations. (shrink)

Mathematics word problems provide students with an opportunity to apply what they are learning in their mathematics classes to the world around them. However, students often neglect their knowledge of the world and provide nonsensical responses (e.g., they may answer that a school needs 12.5 buses for a field trip). This study examined if the question design of word problems affects students' mindset in ways that affect subsequent sense‐making. The hypothesis was that rewriting standard word problems to introduce inherent (...) uncertainty about the result would be beneficial to student performance and sense‐making because it requires students to reason explicitly about the context described in the problem. Middle school students (N = 229) were randomly assigned to one of three conditions. In the standard textbook condition, students solved a set of six word problems taken from current textbooks. In the modified yes/no condition, students solved the same six problems rewritten so the solution helped answer a “yes” or “no” question. In the disfluency control condition, students solved the standard problems each rewritten in a variety of fonts to make them look unusual. After solving the six problems in their assigned condition, all students solved the same three “problematic” problems designed to assess sense‐making. Contrary to predictions, results showed that students in the modified yes/no condition solved the fewest problems correctly in their assigned condition problem set. However, consistent with predictions, they subsequently demonstrated more sense‐making on the three problematic problems. Results suggest that standard textbook word problems may be able to be rewritten in ways that mitigate a “senseless” mindset. (shrink)

Analysis of the social-cognitive substrate of scientific activity reveals that much of science functions in an inauthentic mode whereby a materialist world view constrains the authentic practice of science. But materialism cannot explain matter, as evidenced by empirical data concerning the nature of physical manifestation. Nor, then, should materialism be the basis for our interpretation of consciousness. It is time to move beyond scientific materialism and develop transcendent theories of consciousness. Such theories should minimally meet the following criteria: they should (...) be based on all of the usual empirical data concerning consciousness, including altered states of consciousness; they should take into account data about anomalous phenomena and transcendent states of consciousness; they should address the issue of existential meaning and provide soteriological guidance; and they should be consistent with the most accurate theories of physical manifestation, such as relativistic quantum field theories. Speculating within a quantum-theoretic context, consciousness could be inserted as a primitive element into reality by providing a role for intention in the selection process of observables, the collapse of the state vector, or the ordering of quantum fluctuations. But consciousness could be more fundamental, in the sense of a deep consciousness coinciding with a pre-physical substrate, from which intention shapes both mental experience and physical manifestation. If any significance can be attached to the mathematical formalism of relativistic quantum field theories, perhaps creation and annihilation operators, which determine the fluctuations of a quantum field, can metaphorically be regarded as the avenue through which intention acts. Morphic fields within the pre-physical substrate could hold in place patterns that shape the reality that we experience. Among such morphic fields could be ones that correspond to the world view of scientism. By becoming authentic, one could break from such constraints and consider alternative possibilities that can include various forms of radical transformation. (shrink)

© The Authors [2018]. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected] mathematics a reflection of some already-given realm? It would not matter whether we are talking about the empirical world in a Millian way, or the domain of a priori truths in Leibnizian or maybe Kantian style, or some world of analytical truths à la Carnap. Or perhaps — could mathematics be something more, or something less, than such a reflection? Might it be human, (...) perhaps, dependent on our kind, on our forms of life? Could it just be a set of techniques and conceptions that we develop and employ to establish order and measure in the world around us, in our activities and our environment?Consider any basic mathematical notion that you may wish: e.g., number, function, or space. There is a long history to be told of changing conceptions of... (shrink)

Abstract: We propose a dichotomy between object-entities and meaning-entities. The former are entities such as molecules, cells, organisms, organizations, numbers, shapes, and so forth. The latter are entities such as concepts, propositions, and theories belonging to the realm of logic. Frege distinguished analogously between a ‘realm of reference’ and a ‘realm of sense’, which he presented in some passages as mutually exclusive. This however contradicts his assumption elsewhere that every entity is a referent (even Fregean senses can be referred (...) to by means of suitably constructed expressions). We apply the meaning/object dichotomy to mathematical and fictional entities, and develop a view of mathematical and other abstract objects as the results of certain types of demarcation – as for example the North Sea is the result of demarcations built into naval charts. Such demarcations reflect demarcatory acts, which presuppose complex cognitive and social structures enabling the creation of maps, of theories (of mathematics, of natural science), and of novels. (shrink)

This book recognizes and questions a key assumption about time which is shared by common sense and philosophy—the assumption that time, like a single substance or a homogeneous quality, is subject to the law of contradiction. This leads to the logical conclusion that among different and mutually exclusive accounts of time, whether in science, practical action, or fine art, only one can be the “right” one. Four such accounts are shown here to be internally consistent though mutually incompatible, suggesting (...) that the initial assumption is mistaken, and that in some way each alternative concept of time must be incomplete. Brumbaugh suggests that we must choose the one appropriate to a particular purpose: artistic creation, technological efficiency, discovery of mathematical laws of nature, or work with biological and social phenomena. The selection should allow coherence between that aspect of reality which the selected time concept emphasizes, and the aspect of reality most relevant to a successful execution of our purpose. (shrink)

This piece, included in the drift special issue of continent., was created as one step in a thread of inquiry. While each of the contributions to drift stand on their own, the project was an attempt to follow a line of theoretical inquiry as it passed through time and the postal service from October 2012 until May 2013. This issue hosts two threads: between space & place and between intention & attention. The editors recommend that to experience the drifiting thought (...) that attention be paid to the contributions as they entered into conversation one after another. This particular piece is from the BETWEEN SPACE & PLACE thread: April Vannini, Those Between the Common * Laura Dean & Jesse McClelland, Ballard: A Portrait of Placemaking * Amara Hark Weber, Crossroad * Isaac Linder & Berit Soli-Holt, The Call of the Wild: Terror Modulations * Ashley D. Hairston, Momma taught us to keep a clean house * Sean Smith, The Garage * * * * Instead of beginning with radical doubt, we start from naiveté. —Graham Harman, The Quadruple Object Deep in the forest a call was sounding, and as often as he heard this call, mysteriously thrilling and luring, he felt compelled to turn his back upon the fire and the beaten earth around it, and to plunge into the forest, and on and on, he knew not where or why; nor did he wonder where or why, the call sounding imperiously, deep in the forest. —Jack London, The Call of the Wild The figure of the feral remains a perpetual enigma, but the parameters remain relatively consistent. A person, usually a child, enters civilization after having been raised by wolves or kept in some kind of cruel captivity. The outsider perspective on domestication ensuing in an edge of a culture's self-recognition of its clumsier attributes, what has been taken for granted becomes apparent, is brought to the foreground with the stranger and made questionable. Amusement follows naïve questions or observations such as Kaspar Hauser in the Herzog film, The Enigma of Kaspar Hauser, when Kaspar notes that while in his room he is engulfed by it, but when he looks at the tower he can turn away and it disappears. Ergo, the room is larger than the tower. How entertaining. The aberrant one destabilizes the comforting cultural normative. Places become seen as mere impressions out of space, a patterning, a rut that not everyone lives in like us. This is one figure of the feral. The naiveté that begs all the questions. As a figure for a certain philosophical disposition, the rapidity of one’s saccade scans the environment, intuits it’s space, not from an initial thaumazein or a Critchlean sense of disappointment, but from a child-like naiveté bent on survival. To serve the naïve is merely one form of critique, and it is not nearly used enough in lieu of the critique that provides answers. How dull. It is not necessary to be an outsider to entrench a critique with naiveté. After having forced to suffer in the most parched and rocky terror, itself for so long rooted upwards of fifty feet into the ground upon which it grows, even a grapevine can spontaneously produce a white grape on a red vine. The curious feral can arise from within, and like pinot grigio, it adds variety without admonishing its roots. There is also the feral dog. Not raised by wolves, but humans. Founded in place the figure of this feral denies this place. The trajectory of this feral roves from the cultivated to uncultivated, or in speaking of plants from controlled to volunteer, finding the necessary nutrients and survival patterns on its own. Finding other places, reaching out into space testing its fertility. And when introduced into a foreign environment, it withers or flourishes. We would like to attempt a thesis at this juncture and to accept neither feral figure in its entirety, but to argue for the intimate conjunction between a cultivated place and its resonance with the space it procures for its nest and kin. I'm not a biter, I'm a writer for myself and others. —Jay-Z, What More Can I Say? I am writing for myself and strangers. This is the only way that I can do it. Everybody is a real one to me, everybody is like some one else too to me. No one of them that I know can want to know it and so I write for myself and strangers. —Gertrude Stein, The Making of Americans There is no subjective disposition outlining an unambiguous individual of the para-academy. There is no para-academic. We all have day jobs. 'Para-academic' seeped through the cracks as an adjective in the call to frame publishing dedicated to the critical rigor expected by academic publishing, but to deny the limitations of guarded legitimation through capital means. Open-access holds hands with this parasitic descriptor. Para-academic publishing's refusal to adhere to the valuation of locked access of a site, the site “of a desperate initiation to the empty form of value,” 1 seeks to recognize not merely an inclusive interpretation of significance, but the significance of thinking practice. The practice inside the paywalls of academic 'education' is held in a deathgrip by its infatuation with value and information, both empty without the apprehension of human experience, the barbaric yawp. “I can't breathe in here.” It is not that a para-academic practice leads one to the childish wonder of Kaspar Hauser who wonders about the spatiality of his room. It is the academic legitimation that distorts that one can hold the understanding of both in a constellation of place and space. Led to believe there is only a place for things, we are led to disillusionment. It is also not that a para-academic practice relinquishes itself to the invasive growth outside of careful cultivation, an abandonment of pleasantries for the toothy growl of a predator. It is the academy's fear that thought does not require capital to signify value. Some of the most nutritious meals can be foraged. Defining a para-academic practice is not outlining a place of accreditation of the practice, it is the recognition that any place is subject to modulation by the space it inhabits as well as creates. The para-academic practice keeps an eye of the creation of spaces, follows those paths that eat themselves in the name of academia. This is not unlike Red Peter's report to the academy, only successful if we report in idle idiosyncratic banalities that we have once again become victorious in our acculturation and nullification within the confines of accredited mush and our trajectory of wild rigor is defeated in our desire for recognition as recognizable in this place. Weeds are integral to the functioning of a large ecosystem. The manicured garden is entirely reliant on its keeper. The pansy can also go wild once neglected, the daisy definitely does.... a universe comes into being when a space is severed or taken apart. The skin of a living organism cuts off an outside from an inside. So does the circumference of a circle in a plane. By tracing the way we represent such a severance, we can begin to reconstruct, with an accuracy and coverage that appear almost uncanny, the basic forms underlying linguistic, mathematical, physical, and biological science, and can begin to see how the familiar laws of our own experience follow from the original act of severance. The act is itself already remembered, even if unconsciously, as our first attempt to distinguish different things in a world where, in the first place, the boundaries can be drawn anywhere we please. At this stage the universe cannot be distinguished from how we act upon it, and the world may seem like shifting sand beneath our feet. —George Spencer-Brown, Laws of Form Two edges are created: an obedient, conformist, plagiarizing edge, and another edge, mobile, blank, which is never anything but the site of its effect: the place where the death of language is glimpsed. These two edges, the compromise they bring about, are necessary. —Roland Barthes, The Pleasure of the Text Between these two epigraphs, interminable questions of where and questions of happening, gesture, and interface. To stay buoyed between a site of visible happening and haptic perspicacity. Bounded by one or the other leads to a desiccation of potential knowledge. The tumbleweed tumbles until met with mud, a bare structure moving but not movement. A tumbleweed tumbleweeds, propagates only at a place. It becomes significant again, continues. Significance, the site where meaning is made known through kinesthetic apprehension. 2 The feral founds a gestural horizon; an outsider’s scrawl-becoming-law; Deleuze teaching Meno’s dog geometry. Place as marked, outlined, recognized, territorialized. The academies marked by their peculiar disciplines, outlined by their rigid boundaries, recognized as factories of value. This far from ensures complete purchase on the space of thought, but it has made an undeniably elaborate means of making work significant. The academy is a muddy spot, it is fertile, but its gates are high and its dogs are barking. The coordinates of concept and experience. Already claimed by a stabilizing suspension, the terms enter specificity of ‘this is this’. Another correlation: activity and the individual. The individual, a placeholder in the crosshairs of juridical identification. Activity, what expands and surrounds this location, but utterly indebted to the node of “one who”. What's happening in this oscillation of nature and nurture is practice. Practice, as Stengers tells us “is not the activity of an individual or the product of that activity. It is the ingredient without which neither that activity nor this product would exist as such.” 3 Moving outward from our own honing, we're curious about the ingredient creating the place for holding conceptual and experiential engagements in each hand. And we'd like to argue that this place is not a limiting specification, but a practice undulating daily, by the minute. And we call this practice the para-academic practice. I repeat: there was no attraction for me in imitating human beings; I imitated them because I needed a way out, and for no other reason. —Franz Kafka, A Report to an Academy In order to exist, man must rebel, but rebellion must respect the limit it discovers in itself—a limit where minds meet and, in meeting, begin to exist. — Albert Camus, The Rebel Anyone is a para-academic or practicer of such means. The academic can, and we argue should, be active para-academically, to escape the bounds, recognizing no site specific place as a place to rest on or the place to grab the Kafka's top and wonder at its disobedience not to continue. Yet, the para-academic practice must maintain the desire for rigor in scholarship. Indeed desiring past itself to claim a more naïve rigor, one that does not take its form for granted. Without a para-academic practice, the scholar spends half the time merely working on behalf of a hierarchy, to maintain it, and the other measly amounts of time are in the name of thinking, but only in name. Not to mention the amount of debt it takes to attend the halls of higher education. Not to mention the snoring tenures. Not to mention the barely scraping by adjuncts. Not to mention the materials that shake the very force of producible theory. Not to mention when swimming in texts becomes slogging through data. Academia is a barbaric food chain and it is our claim that there is, as always, an imperative for thought to move, with Heidegger, beyond the logics of calculation and planning, to a time of its own. The path, into the panic of the dark wood of this space can be followed by any; any who let the silence and the rigor enter the play. Where the little theater is larger when inhabited ; where the data of the tutor asymptotically refutes; and where, as much as one wouldn’t expect it here, ballet may turn out to be the most feral of forms… NOTES Jean Baudrillard, “Value's Last Tango” Simulacra and Simulation trans. Sheila Faria Glaser,. “What is significance? It is meaning, insofar as it is sensually produced.” Roland Barthes in The Pleasure of the Text. Isabelle Stengers, “The Science Wars” Cosmopolitics I trans. Robert Bononno, 47. (shrink)

Ever since Aristotle, ontology has been assumed to have a single meaning. Classic ontology branched into three directions established by Kant--the three chief manifestations of reality: cosmology, psychology, and theology--and in its quality of pure ontology became the study exclusively of being. On the other hand, the three dialectical branches have been losing their validity and are being replaced by regional ontologies which take explicit account of their several objects. Four territories today present themselves for intensive speculative cultivation; quantity, matter, (...) life, and spirit. Theology has returned to its classic position at the side of pure ontology. The ideas of object and of concept are radically opposite, but nevertheless are closely related in the context of knowledge; an object is the source of a concept. A concept is formed by one or several objective instances, but does not include all of them; there are more or less determinate objects, some of which have undergone conceptual modification while others remain quite obscure, all of which indicates that the world of reality is not so evident or firm as it appears to common sense. The ideas of being and of objects bring us again to the consideration of the metaphysical theme of the individual. Neither being nor object is the concrete individual; the problem of the individual remains involved in the whole problem of substance as it was discussed in classic metaphysics, because it was completely grounded in this metaphysics and is best discussed and appreciated as the problem of the incommunicable and subsistent. Regional ontology, in fixing its attention entirely on the object, thereby limits itself and makes clear its methodological orientation. Regional ontology by no means is to be considered as a theory of science; any theory, concrete or general is subject to a synthetic process in which facts and proofs immediately given incorporate the theory into the patrimony and positive achievements of intelligence. A theory is a scientific synthesis, and although its fundamental role is logical, its origin implies experimental functions. Regional ontology can be considered as a theory of objects, but its validation does not come from science itself; rather, it is the validation of scientific facts. Ontology might be called a theory a priori, but in that case the terms "theory" and "a priori" would be contradictory since the former requires experience and the latter renounces all experimental data. Ontology operates by means of general essences which objects of the same denomination have in common; thus we speak of the realm of quantity, the realm of matter, the realm of life, and the realm of spirit. The mathematical as well as the natural, biological, and spiritual sciences clearly have different objective planes which correspond to different ontological categories, which are foreign to the experiencing subject because it knows them only concretely as phenomena. The metaphysical basis of mathematics is quantity, a real accident of matter. Quantity examined according to the ontology of mathematics arises from matter, finding its origin in matter as the quality related to form. The ontology of the physicochemical sciences is concerned with the contents of quantity, with the internal object by which quantity is numbered and given its nature. Matter presents a problem to philosophy no less important than the problem it presents to the sciences whose data are mere approximations to matter. Natural sciences which seem very intelligible resolve themselves into a morass of questions when one tries to reduce them to science strictly so-called. In present-day philosophy we say that the nature and structure of objects and beings, both inorganic and organic, are in practice external to human action, taking "human" in the sense of spiritual being. The instability of living being, in contrast to the internal equilibrium of inanimate being, makes it appear less intelligible. On the plane of ontology of life, man is the central problem, even though he is one of the most definite and individualized of beings. Man's life culminates in freedom, which makes man a responsible being, in this respect resembling God. Though less unknown than mathematical, material, and biological objects, mental objects are more difficult and involve subtle and risky problems. The first great phenomenon offered to the philosophy which penetrates the field of the ontology of the social sciences is the identity between the object and the subject, since the subject, who as far as possible refers systematically to the pure object, continually treads the boundary of reality and arrives at himself; that is, the inquiring subject becomes simultaneously the object investigated--a kind of cognitive identity possible in reflection. The second problem of this field of philosophy is the consideration of "I" as absolutely empty of objectivity. For contemporary philosophy, spirit is the world of values, and it is not so important to determine the pure reality of spirit as to understand its life, its activity, and its specific manifestation which is the world of culture. The social sciences deal with man as a spiritual being, and with the facts of culture. The values produced by culture constitute a hierarchy which goes from the most humble to the most elevated, from plain economic interest to an intense desire for God. Culture is produced by the objectification of values; spirit becomes fixed in certain entities which are cultural objects: a theory, a machine, a concert. Man acts as the creator of a culture, but the culture in turn spiritually actuates and nourishes him. The sciences of spirit go from signs to their meaning, from the expression to the living. The point of departure in historical knowledge is our own vital experience, the very life which flows within us. Only life understands life. Here we find the reason why culture indicates the maximum expression of life; in culture, man contemplates himself, and in himself he contemplates all the beings of creation. (shrink)

Traditional philosophy is no longer viable,‭ ‬relevant and acceptable.‭ ‬It might be possible to continue doing philosophizing in traditional ways.‭ ‬It is possible to continue fabricating fictional realities in the manner of the Pre-Socratics,‭ ‬Spinoza,‭ ‬Leibniz,‭ ‬Husserl,‭ ‬Hegel,‭ ‬Plato,‭ ‬et al.‭ ‬It is possible to devise pictures of realities and depictions of‭ ‬human consciousness and cognition like Descartes or in the Kantian manner. -/- One of the major issues with traditional philosophy is its lack of self-awareness,‭ ‬the absence of meta-cognition.‭ (...) ‬This lack of meta-cognition of traditional philosophers leads to the creation of all sorts of questionable phenomena and fake problems. -/- Traditional philosophy,‭ ‬metaphysics,‭ ‬ontology,‭ ‬epistemology,‭ ‬ethics,‭ ‬philosophy of sciences,‭ ‬religion,‭ ‬arts,‭ ‬etc are little more than the possibilities,‭ ‬limits and restrictions enabled and allowed by the philosopher's methodology,‭ ‬techniques and tools.‭ -/- It is most likely possible to envisage a project to devise a collection or synthesis of‭ ‬many alternative realities by means of the insights and theories of theoretical physics,‭ ‬mathematics,‭ ‬bio-chemistry,‭ ‬biology and other sciences,‭ ‬the depictions produced by the arts and pictures of realities presented by the humanities.‭ ‬If such a system of pictures of reality is philosophically relevant and meaningful is however another matter. -/- The original,‭ ‬creative thinking philosopher constitutes alternattive or new realities by his philosophizing.‭ ‬This philosophizing employs and resembles aspects and stages of the processes of theorizing. -/- The real goal of philosophizing is to increase ever greater wisdom.‭ ‬Not merely wisdom in an abstract sense,‭ ‬but different kinds of practical and applied wisdom in all areas of human,‭ ‬everyday existence.‭ ‬In other words,‭ ‬like spirituality and mysticism philosophizing attempts to embody or incarnate wisdom.‭ ‬While mysticism or the mystical paths and aspects of religions aspire to unity experience,‭ ‬to become one with THE ONE,‭ ‬to become the ONE,‭ ‬REAL SELF,‭ ‬to realize the Buddha mind or to be united or‭ '‬married‭' ‬to the Beloved of Sufism. (shrink)

IntroductionIn May 2006, the small group of doctoral students working on ecophilosophy at the Higher Institute of Philosophy at K.U.Leuven invited the Dutch environmental philosopher Martin Drenthen to a workshop to discuss his writings on the concept of wilderness, its metaphysical and moral meaning, and the challenge social constructivism poses for ecophilosophy and environmental protection. Drenthen’s publications on these topics had already been the subject of intense discussions in the months preceding the workshop. His presentation on the workshop and the (...) three critical responses by Wim Bollen, Glenn Deliège, and Richard Kover are published here in a thoroughly revised form on the basis of further and ongoing discussions about the issues involved. Three further contributions to the discussion are added: one by Nathan Edward Kowalski, a young Canadian philosopher who studied in Leuven and wrote his as yet unpublished dissertation on “Evil in Nature,” a second one by Kingsley Goodwin who is currently writing a dissertation on deep ecology at University College in Dublin and, finally, my own unsystematic thoughts inspired by Martin Drenthen’s provocative and stimulating hermeneutics of our postmodern understanding of nature and wilderness, as well as the diverse critical responses to Drenthen’s views by the other contributors. I owe gratitude to all of them for enriching my own ecophilosophical thought and enlarging its horizon although as my fragmentary reflections show at the cost of yet greater uncertainty and more questions about the possibilities of arguing for a radical environmentalist position. Such a position would somehow connect or ground our moral obligation to preserve genuine non-human otherness, wild and free nature, in the non-human meaning of such nature and in our essential need to be in direct and concrete contact with that field of wild non-human meaning because we ourselves belong to nature, because we are not only and purely civilized but are also and most fundamentally wild and free. Three fundamental questions need to be distinguished: the question about our moral obligations regarding nature and its preservation, the metaphysical question about the nature of nature or the meaning of nature, and the question of the metaphysical grounding of our morals in general, and of our moral obligation regarding nature in particular, in the nature or meaning of nature. The complex intertwinement between these three questions is at the heart of Martin Drenthen’s reflections.The authors contributing to the present discussion approach the various issues from markedly different philosophical backgrounds and concerns: critical theory, anthropology, analytic philosophy, phenomenology, hermeneutics, and deep ecology are all to some degree or other brought to bear on the question of what wilderness means for us, why we are fascinated by it and what it actually and in the first place is.Another interesting difference between the five respondents to Martin Drenthen’s wilderness-philosophy relates to the place from which they write: while the Canadians Richard Kover and Nathan Edward Kowalski have wilderness of some sort still close at hand, the Belgians Wim Bollen and Glenn Deliège write from a place which has been thoroughly domesticated, cultivated, and industrialised for a long time. Martin Drenthen himself, of course, writes from the same kind of place as these last two, which explains why he only refers to the wilderness that he has read about in novels, seen in movies, or experienced as recreated in the reserves of the Netherlands. The Irish Kingsley Goodwin writes perhaps from a third, intermediate place that is not wild anymore but still much more natural than Belgium or the Netherlands are.The differences in philosophical approach and concern combined with the difference of place generate a rich tapestry of perspectives and voices wrestling with the fundamental questions of our perceived homelessness and alienation from nature, our cultural discontent, our longing for and need for radical alterity, of immanence and transcendence, of who we are and where we belong, and more concretely of whether there is more to ground our efforts to preserve nature than enlightened self-interest and subjective preference. Martin Drenthen deserves praise for inaugurating this fruitful discussion with his intriguing and highly paradoxical effort to hybridize a postmodern deconstruction of the idea and ideal of wilderness as unspoilt and true nature on the one hand with a new metaphysics of wilderness on the other. Arne Naess, who is generally regarded as the founding father of deep ecology, pointed out the positive and stimulating role that vagueness in the expression of ideas can play in political and philosophical debate. Such general and vague but highly suggestive expressions as ‘all life is one’ are not empty at all, as is often claimed; they are rather full of possibilities of ‘precisation’ and differentiation. Drenthen’s wilderness-philosophy is certainly not vague to the degree of ‘all life is one,’ but his expositions are similarly pregnant with a wealth of further questions, precisations, distinctions, and conceptual clarifications. Good examples of different kinds are to be found in the contributions of Nathan Edward Kowalski and Richard Kover. Kowalski points out that Drenthen’s notions of culture and wilderness need to be made more precise by distinguishing them from the notions of civilization and wildness such that wild cultures become a conceptual possibility. Richard Kover takes the lead from Drenthen’s question about the reason for our postmodern fascination for wilderness to confront it with our primordial fascination in terms of the dependence in the evolution of our subjectivity and our consciousness on the focused perceptual attention on wild forms.Glenn Deliège situates Martin Drenthen’s wilderness-philosophy in its original context of the Dutch debate on the preservation of nature, in particular on the new wilderness paradigm. According to this paradigm, the nature to be preserved should be true and pure, truly natural and wild nature, that is nature outside of and free from the cultivating and domesticating influence of humans. In the Netherlands, however, such nature no longer exists; it can only be preserved after it has first been artificially recreated. Deliège gives an informative summary account of the highly charged three-cornered debate between the adepts of this wilderness-paradigm, the proponents of the more traditional form of conservation of remnants of the typical European landscapes created by pre-industrial farming practices and the modern technocratic functionalists. This debate makes obvious that there are quite different views of the nature of nature and its value. Enter social constructivism: the contested nature of nature is nothing more than a social construct, an idea in a collective mind. The contestation itself is a struggle for authority and power between different such social constructs, any claim to scientific objectivity and objective truth for one’s image of nature is an arrogation of a truth which doesn’t exist and is potentially oppressive by silencing other views. Nature then is up for the grabs of politics, political negotiation, and compromise between various interest groups who all want to get some benefit from nature, some use-value.The problem with Drenthen’s effort to articulate a normative concept of nature which cannot be deconstructed in this way is the extreme formality and emptiness of his metaphysical concept of wilderness as that which is always ‘beyond’, always ‘more’ and which can never be exhausted by any image and construction of nature. Any more concrete determination is mere appearance; the thing in itself is a border concept of that which in fact cannot be grasped conceptually. Glenn Deliège is critical of this formality and emptiness from which it will be impossible to derive any concrete guidance for our conservation practices. He then goes on to defend the Arcadian tradition of our appreciation of nature as giving us a historically well-grounded orientation for those practices. Of course that Arcadian tradition is obviously a cultural construction but that doesn’t make it completely arbitrary and contingent since it is itself ultimately grounded in and open to modification by our concrete sensuous experiences of nature.Deliège here raises the very important issue of the relation between our concrete perceptual and bodily experiences in and with nature and our concepts and metaphysical images of nature. Drenthen himself approaches this issue from the hermeneutical perspective of our need to make sense of our experiences and to articulate their meaning. His confrontation with social constructivism and his effort to salvage something from its relativizing acid lead him, however, into the direction of a highly abstract and empty concept of wilderness.Richard Kover shows that perception is, indeed, the key to a radical critique of social constructivism. He does this with the help of the ecological anthropology of Paul Shepard, the structuralist anthropology of Claude Levi-Strauss and the phenomenology of Maurice Merleau-Ponty. It needs to be said here that Kover takes his leave from an unpublished paper by Martin Drenthen with the title “How to appropriate wilderness appropriately?” – the paper is accessible though on Drenthen’s web-site - in which Drenthen comments and reflects upon three contemporary wilderness-tales, one of them being Werner Herzog’s much-discussed documentary on Timothy Treadwell, an American environmentalist drop-out who lived thirteen summers among wild grizzlies in the Alaskan wilderness before being killed together with his girlfriend by a grizzly bear.Kover tries to show that we are not imprisoned in the mirror-cabinet of our mind or of our human sociality. To make his case, he starts from Paul Shepard’s thoughtful observation that the evolutionary emergence of the mind did not remove us from the natural world but actually connected us deeper with it. Through our mind we evolved more fully into it because our mind is primordially in our senses and in the ability to articulate a perceptual world. The natural world in the form of the system of natural species and their relations is the primary model for perceptual discriminations, for the fundamental discovery of order with its twin-aspects of distinction and discontinuity on the one side and relations and continuity on the other side. Our cognition is essentially perceptually based, our subjectivity is primordially informed by our inherence in the sensible world. Perceptual cognition is inherently intentional and relational, it is not an autonomous mental construction, it is rather in the world and informed by that which is perceived. The other is always intertwined with the subject. We are always already hooked up with the world, with the others, before we start reflecting, thinking, and conceptualizing. This is one of the major themes in Shepard’s work: what this insight means with regard to our relations to non-human otherness, in particular to our perceptual encounter with wild animals. In our encounter with non-human otherness, we are confronted with an essentially ambiguous sense of both affinity and disjuncture. Wild animals demonstrate to us that we are not homeless or alien to this world, that we fundamentally belong to it and are part of it. Their difference, however, shows us that there are different perspectives and ways of being in the world. “Thus the encounter with non-human others inform humans that we are both of the world and simultaneously not the world and there are horizons of significance beyond our own perspective.”Nathan Edward Kowalski comes to a similar conclusion when he situates our morality in the larger moral order of wild nature. According to Kowalski it is indeed a moral order though not our own, an Other to our morality but not simply a negative one. It is, as Drenthen says, a highly paradoxical amoral morality. But what can it mean to speak of morality here? For Kowalski it means that the issue is not merely the theoretical recognition and acknowledgment of axiological transcendence, of non-human values out there, but whether we will appropriately conform to and comport ourselves towards that axiological transcendence so that we can find a human homeland in wild nature instead of turning it into a wasteland. The question then is, how to fit our own human morality into this larger order and greater reality, to subordinate it to that greater reality as a part of it and encompassed but not denied by it so that we can be moral and natural at the same time, tender carnivores hunting the sacred game. Indigenous people follow a moral protocol in their relationship with non-human others which acknowledge and respects their autonomy, their alterity, and the sacred mystery of their different ways of being. They are not befriended but some of them are hunted and eaten – as an exchange in the gift-economy of nature.The problem of the homelessness and alienation from nature is discussed by Wim Bollen from the radically different vantage point of critical theory. In Adorno’s and Horkheimer’s Dialectic of Enlightenment the human story unfolds as a tragic effort to liberate ourselves from nature and to become fully human through rational control when in the end this effort turns against ourselves and instead of liberation and human flourishing we get social domination and repression of our natural needs. The frustrations and mutilations imposed upon us by a repressive civilization give rise to the regressive desire for a return to a natural existence. Referring to the myth of Odysseus and Circe as interpreted by Adorno and Horkheimer, Wim Bollen equates such a natural existence with animal life. In the light of contemporary knowledge about primitive existence, however, this equation is highly problematic. Palaeolithic foragers were already fully human in all respects. A life without civilization need not be an animal-existence.According to Adorno/Horkheimer, our subjectivity and autonomy have to be wrested from animal-nature through an exertive struggle that cannot but proceed by a threefold strategy of domination: the domination of non-human otherness, of human others, and of our own inner nature. The siren song of nature consists in the temptation to give up that struggle for the promise of an unreflective, non-alienated natural existence without toil.When Odysseus’ men give in to Circe’s seduction they are, however, not transformed into wild animals but into swine. According to Bollen this signifies that we cannot re-wild ourselves, that we remain imprisoned in civilization, either as master-subjects or as domesticated animals. Bollen, by the way, like Drenthen, does not distinguish conceptually between civilization and culture. Since re-wilding for Bollen means the impossibility of returning to animal-existence, which is actually the impossibility of becoming another species since biologically we are animals already, to be imprisoned in civilisation means nothing else than to be imprisoned in our humanity. The fact that we cannot become wild animals again – according to Paul Shepard, however, we are still wild animals – is indeed, as Bollen stresses, a trivial form of alienation. A more meaningful concept of alienation which can be put to critical use must refer to a culturally and historically determined frustration and deficit inside the cultural order that is to be overcome not by an impossible regression but by progressive politics leading beyond the three intertwined forms of domination. Not back to nature but forward towards a reconciliation of culture with nature! Such a reconciliation would neither collapse culture into the immanence of nature nor submerge nature into the transcendence of culture. According with the three forms of domination it would be a three-dimensional form of reconciliation.Odysseus’ men did not got what they thought were promised them: the complete liberation from the burden of being autonomous subjects, of being civilized, but they got something worthwhile, namely a certain from of pleasure, a limited and provisional relief and escape. Bollen sees a critical potential in these piggish pleasures after all and consequently even in the siren song of nature since these pleasures were only experienced because Odysseus’ men gave in to it. But one has to give in to this siren song critically if it is to unfold its liberating potential. The problem with pleasure though in bourgeois society is that it is necessarily betrayed, instrumentalized and sold.Kingsley Goodwin’s paper starts by defending deep ecology against the charge of asserting a naïve and dogmatic metaphysics of nature. For convenience sake, but not quite unproblematically, he identifies deep ecology with the environmental thought of Arne Naess. A metaphysics of nature for Naess is always part of a personal worldview. Worldviews which are partly inspired by ecology Naess calls ecosophies. Naess always stresses the personal character of such a worldview and the irreducible plurality of them. It used to be a common misunderstanding of the platform of deep ecology which Naess conceived together with George Sessions that it expressed in a condensed form the metaphysical beliefs of deep ecology. Naess’ intention, however, was to try to articulate in a general fashion the basic viewpoints on which the supporters of the deep ecology movement agreed. It would be possible then to derive these viewpoints from quite different worldviews. In light of this, I think, that Goodwin’s characterisation of the platform as “pragmatic and activist” is not quite appropriate.Goodwin goes on to compare Drenthen’s conception of wilderness and wildness with the similar position developed by Neil Evernden in his book The Social Creation of Nature. He like Naess in his personal ecosophy stresses the crucial role of perceptual experience of wild otherness to find an antidote to the relativity and contingency of our interpretations of nature. Evernden refers to studies on child development to argue for a non-dualistic and relational conception of the self, similar to Naess’ relational ontology. According to Goodwin, Drenthen, in spite of his hermeneutical approach remains too much indebted to the Western subject/object-dualism. The object, in this case wild nature, is pure otherness.With regard to a compost heap, Goodwin shows that we are not separated from nature by an inseparable gulf, that nature is close at hand, and that we can experience and explore it, appreciate the complex play of identity and difference it consists of, the exchanges and transformations and that we can identify with the organisms involved in these exchanges.*The proceeding remarks only highlight some of the prominent themes and considerations in the various contributions to this topical issue of Ethical Perspectives. Hopefully the reader will feel invited and enticed to read the articles themselves, starting, preferably of course, with the essay by Martin Drenthen, who sparked off this lively discussion on the moral meaning of wild nature. I am honoured and pleased to be able to introduce these rich explorations by such talented young environmental philosophers who are eager to develop environmental philosophy further and lead it into new directions. They all have to wrestle with and find answers to the challenge postmodern deconstruction and social constructivism pose for environmental philosophy. In the face of that challenge, it is even more difficult than it already was to provide solid and convincing arguments for the defence of wild and free nature beyond merely pragmatic arguments in terms of its utilitarian value for us. The reason for that defence is not clear-cut and proves to be just as evasive as the moral meaning of nature itself. But neither that reason nor that meaning are mere phantoms and mirages that vanish when we approach them and try to grasp them. They are more substantial, even if they will never have the solidity of a mathematical proof or a scientific measurement. Their locale is the lifeworld which from the point of view of scientific and logical precision and clarity is a messy place where subject and object, reason and heart, fact and value, experience and thought and, yes, nature and culture cannot be clearly separated. This has important consequences for environmental philosophy and its methodology. Conceptual analysis and logical argumentation have to become sensitive to the richness of experience in the lifeworld and to the diverse efforts of its articulation: i.e., they have to open themselves up and maybe even to subordinate themselves to phenomenological and hermeneutical approaches. For me personally this is one of the most important conclusions I draw from the discussion presented here. (shrink)

Longtime teacher and teacher educator Patricia Carini argues that numbers provide one of the many crucial tools that humans use to make sense of their world.4 In making this claim, Carini retells an extended "Number Story" from Alfred North Whitehead in which a squirrel moves her three children "one by one" to a new location.5 As Whitehead recounts: when the mother had placed them on a rock outside, the family group looked to her very different from its grouping within (...) the nest. She was vaguely disturbed, and ran backwards and forwards two or three times to make quite sure no young squirrel had been left behind. She was unable to count. … All she knew was that the vague multitude on the rock seemed very unlike the... (shrink)