This chapter contains sections titled: References.

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 modern mathematics the value of applied research increases, for this reason, modern mathematics is initially focused on resolving the situation actually arose in this respect on a par with other disciplines. Using a new tool - computer systems, applied mathematics appealed to the new object: not to nature, not to society or the practical activity of man. In fact, the subject of modern applied mathematics is a problem situation for the actor-person, and the study is (...) aimed at solving the material and practical problems. Developing the laws of its internal logic, mathematical science today covers various practices and makes them its own requirements, subjugating and organizing in their own way a subject of study. This math activity is influenced by such external factors as the condition of the actor-person; capacity of computers together with service professionals; characteristics of the object, and the external circumstances act as constituting the essence of the case and not as minor issues. The modern applied mathematics is becoming more and more similar to the engineering sciences, and the importance of mathematical modeling problem is rising. In the studies the author bases on the broader context of modern science, including works of philosophy and methodology, as well as mathematicians and specialists in the field of natural sciences. (shrink)

We reconsider some classical natural semantics of integers in the perspective of Kolmogorov complexity. To each such semantics one can attach a simple representation of integers that we suitably effectivize in order to develop an associated Kolmogorov theory. Such effectivizations are particular instances of a general notion of “self-enumerated system” that we introduce in this paper. Our main result asserts that, with such effectivizations, Kolmogorov theory allows to quantitatively distinguish the underlying semantics. We characterize the families obtained by such effectivizations (...) and prove that the associated Kolmogorov complexities constitute a hierarchy which coincides with that of Kolmogorov complexities defined via jump oracles and/or infinite computations . This contrasts with the well-known fact that usual Kolmogorov complexity does not depend on the chosen arithmetic representation of integers, let it be in any base n ≥ 2 or in unary. Also, in a conceptual point of view, our result can be seen as a mean to measure the degree of abstraction of these diverse semantics. (shrink)

This book develops a new conception of political economy at the interface of economic and political theory. Political economy is constituted by the interdependence between the economy and the polity that rest on the complex relations of society in which both are embedded. Effective policymaking depends on reflecting this embedding.

An algebraic approach to programs called recursive coroutines — due to Janicki [3] — is based on the idea to consider certain complex algorithms as algebraics models of those programs. Complex algorithms are generalizations of pushdown algorithms being algebraic models of recursive procedures (see Mazurkiewicz [4]). LCA — logic of complex algorithms — was formulated in [11]. It formalizes algorithmic properties of a class of deterministic programs called here complex recursive ones or interacting stacks-programs, for which complex algorithms constitute mathematical (...) models. LCA is in a sense an extension of algorithmic logic as initiated by Salwicki [14] and of extended algorithmic logic EAL as formulated and examined by the present author in [8], [9], [10]. In LCA — similarly as in EAL-ω + -valued logic is applied as a tool to construct control systems (stacks) occurring in corresponding algorithms. The aim of this paper is to give a complete axiomatization. of LCA and to prove a completeness theorem. (shrink)

The intellectual founding fathers of the French Third Republic were innovative thinkers who achieved an original synthesis of republican and liberal principles. This becomes evident when one examines the works of four philosophers who played a crucial role in the French intellectual and political life of the period extending from the 1870s to the early 1900s: Emile Littre, Charles Renouvier, Henry Michel and Alfred Fouillee. Among their many contributions to moral and political philosophy, I highlight two themes: a) a conception (...) of political liberty that grants a pre-eminent place to civic education as a means to free citizens from domination by dogmatic religious authorities, sectarian political movements or unexamined beliefs of any kind; b) the need to implement reasonable social reforms in order to ensure that the many and complex relations of functional interdependence constitutive of modern societies are equitable and realize an ideal of national solidarity. I suggest that these ideas ought to be carefully examined by contemporary proponents of civic republicanism. (shrink)

In this paper, I describe some aspects of the phenomenon of "experimental mathematics" in order to discuss whether it constitutes a subdiscipline or a particular style of mathematics. My conclusion is that neither of these notions accurately capture the complex culture of experimental mathematics.

Deleuze's theory of time set out in Difference and Repetition is a complex structure of three different syntheses of time – the passive synthesis of the living present, the passive synthesis of the pure past and the static synthesis of the future. This article focuses on Deleuze's third synthesis of time, which seems to be the most obscure part of his tripartite theory, as Deleuze mixes different theoretical concepts drawn from philosophy, Greek drama theory and mathematics. Of central importance (...) is the notion of the cut, which is constitutive of the third synthesis of time defined as an a priori ordered temporal series separated unequally into a before and an after. This article argues that Deleuze develops his ordinal definition of time with recourse to Kant's definition of time as pure and empty form, Hölderlin's notion of ‘caesura’ drawn from his ‘Remarks on Oedipus’ (1803) and Dedekind's method of cuts as developed in his pioneering essay ‘Continuity and Irrational Numbers’ (1872). Deleuze then ties together the conceptions of the Kantian empty form of time and the Nietzschean eternal return, both of which are essentially related to a fractured I or dissolved self. This article aims to assemble the different heterogeneous elements that Deleuze picks up on and to show how the third synthesis of time emerges from this differential multiplicity. (shrink)

Tagmemic theory as a semiotic theory can be used to analyze multiple systems of logic and to assess their strengths and weaknesses. This analysis constitutes an application of semiotics and also a contribution to understanding of the nature of logic within the context of human meaning. Each system of logic is best adapted to represent one portion of human rationality. Acknowledging this correlation between systems and their targets helps explain the usefulness of more than one system. Among these systems, the (...) two-valued system of classical logic takes its place. All the systems of logic can be incorporated into a complex mathematical model that has a place for each system and that represents a larger whole in human reasoning. The model can represent why tight formal systems of logic can be applied in some contexts with great success, but in other contexts are not directly applicable. The result suggests that human reasoning is innately richer than any one formal system of logic. (shrink)

The fact that social welfare professions including social work, youth work and community work deal with the lives and relationships of human beings is far from controversial. What is contentious is that in light of increasing intellectual work on the nature of social practices there is a failure in the human services literature to adequately examine the interdependencies and entanglements between conceptualisations of the stuff that the helping professions deals with and understandings of practice. This article examines the nexus and (...) mediations between the phenomena and practice of social service work. The case is made that human services and the human beings they deal with are often imagined and represented in one-dimensional, unambiguous, calculable and orderable ways that align with neo-liberal inspired and technical approaches to practice. I argue that these accounts are inadequate and I suggest that practices of care and the people engaged in such practices should be constituted as complex, unpredictable, wicked and emergent. A key to good practice in the people professions is acknowledging and attending to this complexity and aporia. (shrink)

Wherever we look, we notice complexity. Philosophically, the concept constitutes a tangled web of problems, in theory as well as daily life. Complexity and Analysis is a meticulous rendering of these problems, tackling the seldom considered nature of complexity that confronts ontological analysts and holists alike. Stewart Umphrey expertly describes the limits of analysis as they have come to light within mathematics, the natural sciences, and analytic philosophy, explaining how Aristotle came upon, and sought to move beyond, the limits (...) of ontological analysis. In trying to understand any complex entity, Umphrey argues, one succeeds in meeting the criterion of metaphysical adequacy only if one fails to meet the crietrion of epistemological adequacy. Ranging across an array of subjects including Kantian and Hegelian idealism, this book provides a superb account of how our own complexity presents not only theoretical problems, but ethical and political dilemmas of great practical significance. (shrink)

In this article I examine the dispute between F. H. Bradley and Bertrand Russell concerning the reality of relations. I show that Bradley’s objections to Russell’s view, that there are such things as relations which serve to effect the unity of complex items, were rooted in a methodological approach which Russell did not share. On Bradley’s view, one must be able to offer reductive analyses of the items one postulates in order that commitment to those items be justified. I argue (...) that Russell expressly rejected this methodological principle of Bradley’s, and instead adopted the view that one may justifiably postulate entities if doing so aids in the illumination of mathematical truths. I show that the postulation of relations does, on Russell’s view, serve to provide that illumination. Russell held that the truths of mathematics constitute fixed data, and that philosophical positions may be judged as successful according to the extent that they possess explanatory power with respect to this data. I argue that Bradley’s and Russell’s exchanges in print, as well as in private correspondence, reflect Russell’s awareness of a fundamental difference in methodological approach. I conclude that Russell elected not to answer Bradley’s objections on their own terms, but rather rejected the methodological assumptions from which those objections emerged. (shrink)

Because of the complex interdependence of physics and mathematics their relation is not free of tensions. The paper looks at how the tension has been perceived and articulated by some physicists, mathematicians and mathematical physicists. Some sources of the tension are identified and it is claimed that the tension is both natural and fruitful for both physics and mathematics. An attempt is made to explain why mathematical precision is typically not welcome in physics.

We consider processes of emergence within the conceptual framework of the Information Loss principle and the concepts of systems conserving information; systems compressing information; and systems amplifying information. We deal with the supposed incompatibility between emergence and computability tout-court. We distinguish between computational emergence, when computation acquires properties, and emergent computation, when computation emerges as a property. The focus is on emergence processes occurring within computational processes. Violations of Turing-computability such as non-explicitness and incompleteness are intended to represent partially the (...) properties of phenomenological emergence, such as logical openness, given by the observer’s cognitive role; structural dynamics where change regards rules rather than only values; and multi-modelling where multiple non-equivalent models are required to model such structural dynamics. In this way, we validate, from an epistemological viewpoint, models and simulations of phenomenological emergence where the sequence of events constitutes the natural, analogical non-Turing computation which a cognitive complex system can reproduce through learning. Reproducibility through learning is different from Turing-like computational iteration. This paper aims to open a new, non-reductionist understanding of the conceptual relationship between emergence and computability. (shrink)

Texts and textures: approaching an age of human-made nature through the particulate, the volatile, and the radiant. We have entered the Anthropocene era—a geological age of our own making, in which what we have understood to be nature is made by man. We need a new way to understand the dynamics of a new epoch. These volumes offer writings that approach the Anthropocene through the perspectives of grain, vapor, and ray—the particulate, the volatile, and the radiant. The first three volumes—each (...) devoted to one of the three textures—offer a series of paired texts, with contemporary writers responding to historic writings. A fourth volume offers a guide to the project as a whole. Grain: Granular materials add up to concrete forms; insignificant specks accumulate into complex entities. The texts in this volume narrate some of the fundamental qualities of the granular. In one pairing of texts, Robert Smithson compares the accumulation of thoughts to the aggregation of sediment, and an environmental historian writes about the stakes for earthly knowledge today. Other authors include Alfred Russel Wallace, Denis Diderot, and Georges Bataille. Vapor: The vaporous represents matter's transformations. In this volume, a political scientist compares Kafka's haunting “Odradek” to “vibrant matter”; a media theorist responds to poems and diagrams by Buckminster Fuller; and more, including texts by Hippocrates, Italo Calvino, and James Clerk Maxwell. Ray: A ray is an act of propagation and diffusion, encompassing a chain of interdependencies between energy and matter. This volume includes texts by Spinoza (with a reconceptualization by a contemporary philosopher), Jacques Lacan (followed by an anthropologist's reflections on temporality), Thomas Pynchon (accompanied by an interpretation of Pynchon's “electro-mysticism”), and others. These volumes constitute a unique experiment in design and composition as well as content. The mingling of texts and the juxtaposition of different areas of knowledge represented in a variety of forms express the dynamics of a world in change. (shrink)

The ArgumentIn its reconstruction of scientific practice, philosophy of science has traditionally placed scientific theories in a central role, and has reduced the problem of mediating between theories and the world to formal considerations. Many applications of scientific theories, however, involve complex mathematical models whose constitutive equations are analytically unsolvable. The study of these applications often consists in developing representations of the underlying physics on a computer, and using the techniques of computer simulation in order to learn about the (...) behavior of these systems. In many instances, these computer simulations are not simple number-crunching techniques. They involve a complex chain of inferences that serve to transform theoretical structures into specific concrete knowledge of physical systems. In this paper I argue that this process of transformation has its own epistemology. I also argue that this kind of epistemology is unfamiliar to most philosophy of science, which has traditionally concerned itself with the justification of theories, not with their application. Finally, I urge that the nature of this epistemology suggests that the end results of some simulations do not bear a simple, straightforward relation to the theories from which they stem. (shrink)

Amy Allen’s insightful and nuanced feminist critical-theoretical account of the politics of our selves could be strengthened with a more complex and differentiated account of power and of gender, and of the social as a site of multiple conflicting and contesting relations. Such an account would adhere more consistently to Allen’s own project of understanding subjects to be constituted through both relations of power and relations of interdependence and mutuality, care and solidarity. The development of this account, and of a (...) situated account of desire or motivation, is essential for a feminist critical theory of self and social transformation. (shrink)

The Cartesian method, construed as a way of organizing domains of knowledge according to the "order of reasons," was a powerful reductive tool. Descartes made significant strides in mathematics, physics, and metaphysics by relating certain complex items and problems back to more simple elements that served as starting points for his inquiries. But his reductive method also impoverished these domains in important ways, for it tended to restrict geometry to the study of straight line segments, physics to the study (...) of ambiguously constituted bits of matter in motion, and metaphysics to the study of the isolated, incorporeal knower. This book examines in detail the negative and positive impact of Descartes's method on his scientific and philosophical enterprises, exemplified by the Geometry, the Principles, the Treatise of Man, and the Meditations. (shrink)

This paper aims to clarify the role the double plays in the constitution of identity, focusing on the movement between the individual and the collective level. Notably, the latter today is often considered through the lens of identity politics. The double, I argue, poses an alternative to this type of politics, by showing the interdependence of groups. As a case study, this paper focuses on the complex relationship between the anti-Semite and the Jew as depicted by Sartre. I begin with (...) a psychoanalytical examination of the figure of the double,follow on with an analysis of Sartre's work in the light of the double, and conclude with Girard's theory of mimetic desire. (shrink)

In this dissertation, I present a novel account of the components that have a peculiar epistemic role in our scientific inquiries, since they contribute to establishing a form of coordination. The issue of coordination is a classic epistemic problem concerning how we justify our use of abstract conceptual tools to represent concrete phenomena. For instance, how could we get to represent universal gravitation as a mathematical formula or temperature by means of a numerical scale? This problem is particularly pressing when (...) justification for using these abstract tools comes, in part or entirely, from knowledge which is not independent from them, thus leading to threats of circularity. Achieving coordination between some abstract conceptual tools and the concrete phenomena that they are supposed to represent is usually a complex process, which involves several epistemic components. Some of these components eventually provide stable conditions for applying those abstract representations to concrete phenomena. It is in this sense of providing certain conditions of applicability that different philosophical traditions, as well as some contemporary reappraisals, view these components as constitutive or a priori. In this work, I present a new gradualist, contextualist, and relational approach to understand these constitutive components of scientific inquiry. It is gradualist inasmuch as the degree to which some component is constitutive depends on three quantifiable features: quasi-axiomaticity, generative potential, and empirical shielding. Since the quantification of these three features impinges on the history and practice of using these components in a scientific context, my approach is a contextualist one. Finally, my approach is relational in a double sense: first, it identifies ordinal relationships among epistemic components with respect to their constitutive character; second, these relationships are relative to a scientific framework of inquiry. After introducing my account and a classic example of constitutively a priori principles, i.e., Friedman’s (2001) analysis of Newtonian mechanics, I turn to my own case studies to demonstrate the advantages of my approach. Firstly, I discuss Okasha’s (2018) view of endogenization as a pervasive theoretical strategy in evolutionary biology and suggest that the constitutive character of the core Darwinian principles progressively increases with endogenization. Secondly, I apply a conceptual distinction between two varieties or scopes of coordination – general coordination and coordination in measurement – to Ohm’s work on electrical conductivity. This distinction allows me to pinpoint to what extent components along different dimensions (e.g., instrumentation, measurement, theorising, etc.) were constitutive of the forms of coordination which Ohm relied on. Thirdly, I discuss the epistemic function of the Hardy-Weinberg principle in the history and practice of population genetics. I assess this principle in terms of my account and identify approximation and stability as two components that are highly constitutive, in that they contribute to justifying its use in population genetics. Finally, applying my account to these case studies enables me to identify at least three qualitatively different types of constitutive components: domain-specific theoretical principles, material components, and domain-independent assumptions underlying reasoning abilities. In the light of my results, I draw some general conclusions on epistemic justification and scientific knowledge. (shrink)

While human beings generally act prosocially towards one another — contra a Hobbesian “war of all against all” — this basic social courtesy tends not to be extended to our relations with the more-than-human world. Educational philosophy is largely grounded in a worldview that privileges human-centered conceptions of the self, valuing its own opinions with little regard for the ecological realities undergirding it. This hyper-separation from the ‘society of all beings’ is a foundational cause of our current ecological crises. In (...) this paper, we develop an ecosocial philosophy of education based on the idea of an ecological self. We aspire to consolidate voices from deep ecology and ecofeminism for conceptualizing education in terms of being responsible to and for, a complex web of interdependent relations among human and more-than-human beings. By analyzing the notion of opinions in light of Gilles Deleuze’s critique of the ‘dogmatic image of thought,’ we formulate three aspects of ESPE capable of supporting an ecological as opposed to an egoistic conception of the self: rather than dealing with fixed concepts, ESPE supports adaptable and flexible boundaries between the self and the world; rather than fixating on correct answers, ESPE focuses on real-life problems shifting our concern from the self to the world; and rather than supporting arrogance, EPSE cultivates an epistemic humility grounded in our ecological embeddedness in the world. These approaches seek to enable an education that cultivates a sense of self that is less caught up with arbitrary, egoistic opinions of the self and more attuned to the ecological realities constituting our collective life-worlds. (shrink)

Working in the framework of object-oriented ontology, Graham Harman claims that science strictly adheres to literal language as opposed to metaphorical language. In this article, I argue that such a distinction between literal and metaphorical language cannot be made cleanly in the context of contemporary physics. First, I identify aspects of scientific practice that point to non-literalism, which include non-linguistic elements of scientific discourse, the problem of interpretation of mathematical formulations of some theories, and the acceptance of incompatible theories that (...) describe the same object. Second, I outline an argument that at least some theories in physics constitute complex metaphors based on Harman’s own definition. (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)

Most previous research on human cognition has focused on problem-solving, and has confined its investigations to the laboratory. As a result, it has been difficult to account for complex mental processes and their place in culture and history. In this startling - indeed, disco in forting - study, Jean Lave moves the analysis of one particular form of cognitive activity, - arithmetic problem-solving - out of the laboratory into the domain of everyday life. In so doing, she shows how (...) class='Hi'>mathematics in the 'real world', like all thinking, is shaped by the dynamic encounter between the culturally endowed mind and its total context, a subtle interaction that shapes 1) Both tile human subject and the world within which it acts. The study is focused on mundane daily, activities, such as grocery shopping for 'best buys' in the supermarket, dieting, and so on. Innovative in its method, fascinating in its findings, the research is above all significant in its theoretical contributions. Have offers a cogent critique of conventional cognitive theory, turning for an alternative to recent social theory, and weaving a compelling synthesis from elements of culture theory, theories of practice, and Marxist discourse. The result is a new way of understanding human thought processes, a vision of cognition as the dialectic between persons-acting, and the settings in which their activity is constituted. The book will appeal to anthropologists, for its novel theory of the relation of cognition to culture and context; to cognitive scientists and educational theorists; and to the 'plain folks' who form its subject, and who will recognize themselves in it, a rare accomplishment in the modern social sciences. (shrink)

Many accounts of collective intentionality target rather sophisticated types of cooperative activities, i.e., activities with complex goals that require prior planning and various coordinating and organizing roles. But although joint action is of obvious importance, an investigation of collective intentionality should not merely focus on the question of how we can share agentive intentions. We can act and do things together, but it is not obvious that the awe felt and shared by a group of Egyptologists when they gain entry (...) to a newly discovered pharaonic tomb can or should be analyzed in the same way as, say, a heist that a group of criminals carefully plan and execute together. The aim of the article is to better understand the kind of emotional sharing that can occur between two individuals who are perceptually co-present. Does the sharing involve a kind of phenomenal fusion? Is it a matter of sharing one and the same token experience? It will be argued that both of these recent suggestions must be rejected as misleading in favor of an account that sees emotional sharing as a form of emotional integration that involves constitutively interdependent processes of empathy, second-personal address, and identification. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Adapting: A Chinese Philosophy of Action by Mercedes ValmisaMieke Matthyssen (bio)Adapting: A Chinese Philosophy of Action. By Mercedes Valmisa. New York: Oxford University Press, 2021. Pp. 220, Hardcover $97.00, isbn 978-0-19-757296-2.When Mercedes Valmisa's Adapting. A Chinese Philosophy of Action (hereafter Adapting) was released, I instantly recognized it as a theme I would have loved to delve into myself. But I never did, while Valmisa stepped up to this (...) challenging task with remarkable depth. By examining a variety of master texts from several schools within the Classical Chinese philosophical corpus--including the Zhuangzi 莊子, Huainanzi 淮南子, Guanzi 管子, Shenzi 慎子, Lüshi Chunqiu 呂氏春秋, Sunzi Bingfa 孫子兵法, and Mozi 墨子, to name just a few--Adapting digs into the complexities of what Valmisa describes as "a philosophy of action" as articulated by ancient Chinese thinkers. She provides a comprehensive textual and historical overview of the evolution of action theories in Chinese philosophy, highlighting adaptability or adaptive agency as a cornerstone of these theories.To set the stage for her nuanced exploration, Valmisa introduces the overarching concept of adapting as it is primarily expressed through the character yin 因. She then expands on how adapting is deeply intertwined with traditional Chinese ideas of relatedness and interdependence. Contrary to Western action models that emphasize autonomy and control, along with static, individualistic, and intention-driven approaches, Valmisa portrays the Chinese model of adaptivity as inherently relational and context-dependent. This model situates human agency within an extensive web of relationships that includes not only other individuals but also objects, the environment, and the broader cosmos-- essentially, all things under heaven.This relationality is foundational, suggesting that individuals are continually shaped by and shaping their interactions with the world. Valmisa focuses on how humans constantly adapt to their fluctuating material and immaterial environments, including the lashes of fate (ming 命) and various visible or invisible opportunities. Taking the Guanzi-Xinshu shang 心術上 ("The Art of the Heart" I) as a source, she characterizes adapting as "abandoning oneself and taking entities as standard" (p. 5), describing this as an "open-ended strategy of action" that aligns with the contingencies of a given situation (time, place, context). In essence, the situation itself sets the parameters for evaluating the appropriateness and efficacy of a course of action. [End Page 1]Chapter 1 elaborates extensively on the notion of adapting, demonstrating through a selection of texts that adaptive agency is a form of action responsive to the specific demands of the moment emphasizing flexibility and situational responsiveness. This distinctively Chinese approach to adapting to changing circumstances rather than adhering to fixed guidelines or imposing one's will, contrasts sharply with the more prescriptive, moral, and forceful models typical of Western thought. Throughout the book, Valmisa lucidly introduces and defines key terms such as "adaptive agency," "agent-situation fit," and "co-action paradigm," often beginning with anecdotal discussions between masters and disciples from various schools. Drawing on these diverse texts, she effectively argues that although the core practices and forms of adapting in the Chinese context are traceable across different texts, their objectives, and thus success, vary by philosophical school. In texts inspired by Confucian thought, the focus is on adapting to achieve social or societal harmony, while Daoist texts emphasize achieving cosmic harmony. Summarizing this, Valmisa, referring to a story in the Zhuangzi, states: "There is no standardized model to decide on the actions that will bring success to our endeavors. One must learn to live in the all-embracing uncertainty and openness represented by the dao" (p. 17). And this dao can be Confucian, Daoist, or of any other classical school.Valmisa also introduces a critical distinction between constitutive standards and structural goals. Constitutive standards are dependent on content that is considered conducive to a good life, whereas structural goals are content-neutral, achievable through various means. From the perspective of adaptive agency, constitutive standards dissolve within the situation as agents determine the most suitable course of action to achieve structural goals. This innovative approach to differentiating goals from standards is profoundly intriguing and has significant implications. The question remains how to educate and cultivate adaptability rooted in structural goals. In line with the above framework, Valmisa... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Moments of Beating Addiction and Inscription in Virginia Woolf’s “A Sketch of the Past”Barbara Claire Freeman (bio)My title, which alludes to the collection of autobiographical essays authored by Virginia Woolf and entitled Moments of Being, implies that being and beating are co-constitutive and that exploring their interdependence may shed light upon the logic that binds the one to the other. In particular, I want to examine the ways (...) in which Woolf’s “A Sketch of the Past”—it is the longest essay in the collection and presumably incomplete, since Woolf wrote the last entry shortly before killing herself in 1941—sets up a complex relationship between beating, writing, and compulsion. For the text in which the phrase “moment of being” first occurs also reveals that the activity of writing, to which Woolf was addicted, has the symbolic valence of beating and functions at the level of language in the same ways that beating functions on the body. I will begin to unpack this perhaps obscure equation by focusing upon the relationship between being and beating in the experiences that define Woolf’s “moments of being.” 1In the opening pages of “A Sketch,” Woolf describes the routine, eminently forgettable aspects of daily life as “a kind of nondescript cotton wool”; the phrase is her “private shorthand” for the general and diffuse “moments of non-being” that predominate in daily life and in which, by contrast, “moments of being” are “embedded” [70]. “Every day,” Woolf notes, “includes much more non-being than being”; and although “the real novelist can somehow convey both sorts of being” [70], Woolf believes that “behind the cotton wool is hidden a pattern” [72] and that her vocation as a writer is to discover and communicate it.Though occasionally “moments of being” produce the experience of rapture or ecstasy, an aspect of beating I will presently explore, most frequently they name moments that entail negation and self-shattering. “Moments of being” are moments of extreme violence that “remain interesting” [78] not because they lead to self-transcendence or discovery, but because they provoke a sense of utter helplessness and paralysis. With one exception, Woolf’s “moments” involve memories of being beaten up by life: “a sudden violent shock” occurs “when something happened so violently that I have remembered it all my life” [71]. Woolf’s submission to her brother Thoby’s beating remains in her memory as inaugural:The first: I was fighting with Thoby on the lawn. We were pommelling each other with our fists. Just as I raised my fist to hit him, I felt: why hurt another person? I dropped my hand instantly, and stood there, and let him beat me. I remember the feeling. It was a feeling of hopeless sadness. It was as if I became aware of [End Page 65] something terrible; and of my own powerlessness. I slunk off alone, feeling horribly depressed.[71]The shock of a beating occasions Woolf’s knowledge that rupture may function as a form of revelation; its reception initiates a drive to repeat in words the impact and imprint of the blows she has received. Being beaten not only provides her with a paradigm of being, but institutes a reciprocal and necessary relationship between beating and writing in which the one elicits and engenders the other. 2Another “moment” recounts the experience of being “dragged down, hopelessly, into some pit of absolute despair from which I could not escape” upon hearing about the suicide of a family friend, a certain Mr. Valpy:I overheard my father or mother say that Mr. Valpy had killed himself. The next thing I remember is being in the garden at night and walking on the path by the apple tree. It seemed to me that the apple tree was connected with the horror of Mr. Valpy’s suicide. I could not pass it. I stood there looking at the grey-green creases of the bark—it was a moonlit night—in a trance of horror.... My body seemed paralysed.[71]As Woolf’s body received her brother’s blows, her consciousness receives the shock of overhearing news of a suicide. The memory of Mr... (shrink)

Arthur Kaufmann is one of the most prominent figures among the contemporary philosophers of law in German speaking countries. For many years he was a director of the Institute of Philosophy of Law and Computer Sciences for Law at the University in Munich. Presently, he is a retired professor of this university. Rare in the contemporary legal thought, Arthur Kaufmann's philosophy of law is one with the highest ambitions — it aspires to pinpoint the ultimate foundations of law by explicitly (...) proposing an ontology, a general theory of knowledge and concept of a person. Kaufmann's work derives, first of all, from the thinking of Gustav Radburch, his teacher, and then from ideas of Karl Engish and Hans-Georg Gadamer. The philosophy undertakes to pursue the ultimate foundation of law, law which is understood by Kaufmann, first of all, as a "concrete judgement" that is, what is right in a concrete situation. Justice belongs to the essence of law and "unjust law" is contradictio in adiectio. Kaufmann opposes all those theories, which as the only foundation for establishing just law (Recht) adopt legal norms (Gesetz). In Kaufmann's opinion , such theories are powerless in the face of all types of distortions of law rendered by political forces. He suggests that the basic phenomenon which needs to be explained and which cannot be disregarded by a philosopher of law is so-called "legal lawlessness" ("Gestzliches Unrecht"). "Legal lawlessness" which forms a part of life experience for the people of twentieth century totalitarian states. It proved "with the accuracy of scientific experiment" that the reality of law consists of something more than bare conformity with legal norms. The existence of lex corrupta indicates that law contains something "non-dispositive" which requires acknowledgment of both law-maker and judge. Kaufmann, accepting the convergent concept of truth and cognition, assumes that "non-dispositive" content, emerging as the conformity of a number of cognitive acts of different subjects (inter-subjective communicativeness and verifiability), indicates the presence of being in this cognition. The questions "What is law?" and "What are the principles of a just solution?" lead straight to the ontology of law, to the question about the ontological foundations of law. Kaufmann discerns the ontological foundations of law in the specifically understood "nature of things" and, ultimately, in a "person". He proposes a procedural theory of justice, founded on a "person". In my work, I undertake to reconstruct the train of thought which led Kaufmann to the recognition of a "person" as the ontological foundation of law. In the first part, the conception of philosophy adopted by Kaufmann, initial characteristics of law — of reality which is the subject of analysis, as well as, the requirements for proper philosophical explanation of law posed by Kaufmann are introduced. In the second, Kaufmann's reconstruction of the process of the realisation of law is presented. Next, the conception of analogy which Kaufmann uses when explaining law is analyzed. In the fourth part, Kaufmann's conception of ontological foundations of law is discussed. A critical analysis is carried out in which I demonstrate that the theory of the ontological foundation of law proposed by Kaufmann and the concept of a person included in it do not allow a satisfac¬tory explanation of the phenomenon of "legal lawlessness" and lead to a number of difficulties in the philosophical explanation of law. Finally, the perspectives of a proper formulation of the issue of the ontological foundations of law are drafted in the context of the analyzed theory. My interest is centered on the conception of philosophy adopted by Kaufmann, according to which the existence of the reality is inferred on the basis of a certain configuration of the content of consciousness, whereas at the point of departure of philosophy of law, the data to be explained is a certain process, which is, basically, a process of cognition, while the reality appears only as a condition for the possibility of the occurrence of the process. I wish to argue that the difficulties which appear in the explanation of law are a consequence of the assumed fundamental philosophical solu¬tions, which seem to be characteristic, though usually not assumed explicitly, in philoso¬phy and theory of law dominant at present in continental Europe. Thereby, I wish to show the significance of ontological and epistemological solutions to the possibility of a proper formulation of the problems posed by philosophy and theory of law. Kaufmann proclaims himself in favour of a philosophy which poses questions about the ultimate foundations of understanding of the reality. In epistemology, he assumes that answers to the questions "What is reality like?" and ultimately "What is real?" are inferred on the basis of uniformity of a cognitive acts of different subjects. Cognition of the reality is accomplished exclusively through the content of conceptual material. The two fundamental questions posed by philosophy of law are "What is just law?" and "How is the just law enacted?" The latter is a question about the process of achieving a solution to a concrete case. Since, in Kaufmann's opinion, law does not exist apart from the process of its realisation, an answer to the question about the manner of realisation of law is of fundamental significance to answering the question: "What is law?" and to the explanation of the question about the ontological grounding of law, which is, as well, the foundation of justice. The proper solution has to take into account the moment of "non-dispositive" content of law; its positiveness understood as the reality and, at the same time, it has to point to the principles of the historical transformation of the content. Law, in the primary meaning of the word, always pertains, in Kaufmann's opinion, to a concrete case. A legal norm is solely the "possibility" of law and the entirely real law is ipsa res iusta, that which is just in a given situation. Determination of what is just takes place in a certain type of process performed by a judge (or by man confronted with a choice). Kaufmann aims to reconstruct this process. A question about the ontological foundation of law is a question about the ontological foundations of this process. In the analyzed theory it is formulated as a question about the transcendental conditions, necessary for the possibility of the occurrence of the process: how the reality should be thought to make possible the reconstructed process of the realisation of law. Kaufmann rejects the model for finding a concrete solution based on simple subsump¬tion and proposes a model in which concrete law ensues, based on inference by analogy, through the process of "bringing to conformity" that which is normative with that which is factual. Kaufmann distinguishes three levels in the process of the realisation of law. On the highest level, there are the fundamental legal principles, on the second legal norms, on the third — concrete solutions. The fundamental principles of law are general inasmuch as they cannot be "applied" directly to concrete conditions of life, however, they play an important part in establishing norms. A judge encounters a concrete situation and a system of legal norms. A life situation and norms are situated on inherently different levels of factuality and normativeness. In order to acquire a definite law both a norm (system of norms) and a life situation (Lebenssachverhalt) should undergo a kind of "treatment" which would allow a mutual conformity to be brought to them. Legal norms and definite conditions of life come together in the process of analogical inference in which the "factual state" ("Tatbestand") — which represents a norm, and in the "state of things" ("Sachverhalt") — which represents a specific situation are constructed. A "factual state" is a sense interpreted from a norm with respect to specific conditions of life. The "state of things" is a sense constructed on the basis of concrete conditions of life with respect to norms (system of norms). Legal norms and concrete conditions of life meet in one common sense established during the process of realisation of law. Mutatis mutandis the same refers to the process of composition of legal norms: as the acquisition of concrete law consists in a mutual "synchronization" of norms and concrete conditions of life, so acquisition of legal norms consists of bringing to conformity fundamental principles and possible conditions of life. According to Kaufmann, both of these processes are based on inference through analogy. As this inference is the heart of these processes it is simultaneously a foundation finding just law and justice. How does Kaufmann understand such an inference? As the basis for all justice he assumes a specifically interpreted distributive justice grounded on proportionality. Equality of relations is required between life conditions and their normative qualification. Concrete conditions of life are ascribed normative qualification not through simple application of a general norm. More likely, when we look for a solution we go from one concrete normative qualified case to another, through already known "applications" of norms to a new "application". The relation between life conditions and their normative qualifica¬tion has to be proportional to other, earlier or possible (thought of) assignments of that which is factual to that which is normative. Law as a whole does not consist of a set of norms, but only of a unity of relations. Since law is a, based on proportion, relative unity of a norm and conditions of life, in order to explain law in philosophical manner, the question about ontological base of this unity has to be asked. What is it that makes the relation between a norm and conditions of life "non-dispositive"? What is the basis for such an interpretation of a norm and case which makes it possible to bring a norm and conditions of life into mutual "conformity"? This is a question about a third thing (next to norms and conditions of life), with respect to which the relative identity between a norm and conditions of life occurs, about the intermediary between that which is normative and that which is factual and which provides for the process of establishing of norms, as well as, finding solutions. It is the "sense" in which the idea of law or legal norm and conditions of life have to be identical to be brought to mutual "conformity". In Kaufmann's opinion such a sense is nothing else but the "nature of things" which determines the normative qualification of the reality. Since establishment of this "sense" appears to be "non-dispositive" and controlled inter-subjectively (namely, other subjects will reach a similar result) so, in conformity with the convergent concept of truth, the "nature of things" must be assigned a certain ontological status. According to Kaufmann this is a real relation which occurs between being and obligation, between the conditions of life and normative quality. However, it should be underlined that from the point of view of the analyzed system the "nature of things" is a correlate of constructed sense, a result of a construction which is based on the principle of consistent understanding of senses ("non-normative" and "normative") and is not a reality which is transcendent against the arrangement of senses. In Kaufmann's theory, inference from analogy appears to be a process of reshaping the concepts (senses) governed by tendency to understand the contents appearing in relations between that which is factual and that which is normative in a consistent way. The analogical structure of language (concepts) and recognition of being as composed of an essence and existence is an indispensable requirement for the possibility of the realisation of law, based on specifically understood inference from analogy. It is necessary to assume a moment of existence without content which ensures unity of cognition. Existence emerges thus as a condition of the possibility of cognition. According to Kaufmann, the "nature of things" is the heart of inference through analogy and the basis for establishment of finding of law. Inference from the "state of things" to a norm or from a norm to the "state of things" always means inference through the "nature of things". The "nature of things" is the proper medium of objective legal sense sought in every cognition of law. In Kaufmann's view, the question whether the "nature of things" is ultima ratio of interpretation of law or is only a means of supplement gaps in law or whether it is one of the sources of law, is posed wrongly. The "nature of things" serves neither to supplement the gaps nor is it a source of law as, for example, a legal norm may be. It is a certain kind of "catalyst" necessary in every act of making law and solving a concrete case. Owing to "nature of things" it is possible to bring to a mutual conformity the idea of law and possible conditions of life or legal norms and concrete conditions of life. In Kaufmann's conception the "nature of things" is not yet the ultimate basis for understanding the "non-dispositiveness" of law. The relation between obligation and being is determined in the process of the realisation of law. Both the process itself and that which is transformed in this process are given. A question about the ontological bases of "material" contents undergoing "treatment" in the process of the realisation of law and about being which is the basis of regularity of the occurrence of the process arises. Only this will allow an explanation that the result of the process is not optional. Thus, a question about reality to which law refers and about the subject realising the law has to be formed. To this, Kaufmann gives the following answer: that which is missing is man but not "empirical man" but man as a "person". A "person" understood as a set of relations between man and other people and things. A "person" is the intermediary between those things which are different — norm and case are brought to conformity. A "person" is that which is given and permanent in the process of the realisation of law. It determines the content of law, is "subject" of law; this aspect is described by Kaufmann as the "what" of the process of realisation of law. A "person" consists of precisely just these relations which undergo "treatment" in the process. On the other hand, a "person" is "a place" in which the processes of realisation of law occur, it is the "how" of normative discourse, a "person" is that which determines the procedure of the process, being "outside" of it. This aspect of a "person" is connected with the formal moment of law. A "person" being, at the same time, the "how" and the "what" of the process of the realisation of law, is also, to put it differently, a structural unity of relation and that which constitutes this relation (unity of relatio and relata). According to this approach a "person" is neither an object nor a subject. It exists only "in between". It is not substance. Law is the relation between being and obligation. That which is obligatory is connected with that which is general. That which is general does not exist on its own, it is not completely real. Accordingly, a "person" as such is also not real. It is relational, dynamic and historical. A "person" is not a state but an event. In Kaufmann's opinion, such a concept of a "person" helps to avoid the difficulties connected with the fungibility of law in classical legal positivism. A "person" is that which is given, which is not at free disposal and secures the moment of "non-dispositiveness" of law. Kaufmann concludes: "The idea (»nature«) of law is either the idea of a personal man or is nothing". Theory points at the structure of realising law and explains the process of adoption of general legal norms for a concrete situation. The analysis has shown however, that in this theory a satisfactory answer to the question about the ultimate foundations of law is not given. It seems that in the analyzed theory the understanding of human being takes place through understanding of law. What is good for man as a "person", what is just, what a "person" deserves may be determined only against the existing system of law. A "per¬son" adopted as a basis of law is the reality postulated in the analysis of the process of the realisation of law. It is a condition of possibility of this process ( explaining, on one hand, its unity and, on the other hand, the non-dispositive moments stated in this process). A "person" in the discussed theory is entirely defined by the structure of law, it can be nothing more than that which is given in law, what law refers to, what law is about. Being, which is a "person", is constituted by relations between people and objects, the relations which are based on fundamental links between norms and conditions of life established in a process of bringing them to conformity. It has to be assumed that man as a "person" is a subject of law only as far as realising law "treats" given senses according to their current configuration. The system of law is a starting point and it describes in content what man is as a "person". Moreover, being a "person" is the condition for entering legal relations. Consistently, Kaufmann writes that "empirical man" is not the subject of law, man is not "out of nature" a "person". People become "persons" due to the fact that they acknowledge each other as "persons" — acknowledging, at the same time, law. This acknowledgement is a con¬dition of existence, of the possibility of the occurrence of process of realisation of law and of constituting legal relations which ultimately constitute a "person". Kaufmann assumes, that law tends towards a moral aim: it may and must create an external freedom, without which the internal freedom to fulfil moral obligations cannot develop. However, this postulate is not based on the necessary structure of human being. From the point of view of his system, it is nothing more than only a condition for the possibility of the occurrence of the process of the realisation of law — lack of freedom would destroy the "how" of this process. Thus, the postulate to protect the freedom of personal acts has to be interpreted, in accordance with the analyzed theory, as a postulate, the fulfilment of which aims ultimately at the accomplishment of the very same process of realisation of law itself and not the realisation of a given man. Kaufmann considers a "person" to be an element which unites the system of law as a whole. Law is a structure of relations, which are interdependent and inter-contingent. Consequently, a "person" which is to form the ontological basis of law has to be entity consisting of all relations. Being also the "how" of the process of realisation of law, if a "person" is to warrant its unity, it has to be a common source for all procedures. Hence, a single "person" would constitute a subject of law. Man appears to be only a moment of a certain entirety, realisation of which should be an aim of his actions. Law, creating a "person" as an object and subject of law becomes a primary entity. In the analyzed theory, the basis for determination of aims which law sets to man is not the allocation of man-subject to something which improves him but rather, such relation is only just constituted by law. A question appears, why should aims set in law also be the aims of "empirical man"? Why is this "empirical man" to be punished in the name of a "person" understood in such a way? If, however, it is assumed that what is man is determined by a system which is superior to him, then man has to be understood only as a part of a whole and there are no grounds to prohibit istrumental treatment of man and so the road to all aspects of totalitarianism might be opened. A problem of the application of created theory to the reality arises, the reality which the theory pretends to explain. Ultimately in his theory Kaufmann does not give any systemic grounds for a radical questioning of the validity of any legal norms. Every new norm becomes an equal part of system of norms. It is only its interpretation and application to given conditions of life that may be disputable, however, this refers to all norms without exception. Cohesive inter-pretation of norms and applications is necessary and sufficient for the acquisition of just law. New norms have to be interpreted in the light of others, correspondingly, the other norms require reinterpretation in the light of the new ones. Contradiction in interpretation of a norm does not form a basis for questioning norms but may serve only to question the manner of their interpretation (understanding). Therefore, no grounds exist to assume any legal norm as criminal or unjust, and in consequence, to question any consistently realised system based on formally, properly established norms, as "legal lawlessness". As law and a "person" do not exist without the process of realisation of law, the role of legal safety becomes crucial as the condition for the possibility of the occurrence of the process of realisation of law. Denying legal safety would be tantamount to negation of law in general (also of moral law) as negation of safety takes away, at the same time, the basis for occurrence of the process of realisation of law. Moreover, any lack of legal safety would also mean lack of a basis for the existence of man as a "person". Kaufmann's thesis, that civil disobedience is legalized only when it has a chance to lead to success, consistent with his concept of the foundations of law, seems to point directly to conclusions which deny the facts taken under consideration and doubtlessly Kaufmann's own intentions, since it would have to be assumed that accordingly there are no grounds to question a legal system in force based on violence which secures its operation. Force finally seems to determine which one of the mutually irreconcilable normative systems constitute law and which does not. A legitimate position is one which leads to success, it is the weaker system which is negated. If so, then basically violent imposition of law is not an act directed against the law in force but, to the contrary, realisation of law. In the context of the new system the former system of law may be talked about as unjust solely in the sense of being incapable of being consistently united with the new. However, at the base, ultimately, lies force which reaffirms differences and excludes from the process of realisation of law certain norms and their interpretations. Kaufmann was aiming at grounding of that which is "non-dispositive" in a certain given framework of interpretation. Nevertheless, he does not provide foundations for the understanding of phenomena, which he undertakes to explain at a point of departure. Instead of explaining them the theory negates the possibility of their existence. The reality postulated in regard to "non-dispositive" moments of the reconstructed process of acquiring law consist of a specifically understood "person", which appears in Kaufmann's conceptions as a condition of the possibility of the realisation of law. According to this approach understanding of a "person" may be only a function of law. To understand "legal lawlessness" and foundations of justice it is necessary to look for such theory of law in which understanding of man as a "person" and being is not a function of understanding of law (in which a "person" is not only a condition for possibility of reconstructed process of realisation of law; for possibility of cognition processes). It seems necessary to start from theory of being and a "person" based on broader experience than the one assumed by Kaufmann and reconstruct the ontological foundations of the process of realisation of law only in such perspective. Kaufmann points out that that to which law refers is ipsa res iusta a concrete relation of man to other people and things. This relation, in his theory, appears to be basically only just constituted by law (normative senses "applied" to conditions of life). Therefore, understanding the relation between a given man and other people and things which constitute the aim of his actions, that is understanding of good, is enacted against the background of constitution of senses; constitution which is a result of a process aiming towards consistent understanding of particular contents (of nor¬mative and non-normative senses). "Being" is secondary towards constructed senses it is only their correlate. The primary relation consists of relation of a man to law (system of norms), while the secondary relation is one of man to something which is the aim of his action (relation between man and good). Considering such approach it is difficult to envision a satisfying answer to the fundamental question: why does law put concrete man under any obligation to obey it? The source of this problem can be seen in reduction of the base for understanding good to content of obligation formulated in auto-reflection. Such reduction seems to be a consequence of Kaufmann's adoption of "convergent concept of truth" and in con¬sequence his recognition of indirect, essentialistic grasp of reality formulated in concepts as the basic and only foundation of theory of being and of law. In view of such an approach, analogy of law, concepts and being is the condition for the possibility of the process of transformation of senses which aims at consistent interpretation of all law. Existence is postulated with respect to the possibility of unity of experience and cognition. However, also a different approach to understanding of the problem of being and good is possible. In spontaneous cognition being is affirmed, first of all, not as a certain, non-contradictory, determined content, but as something existing. Together with a cer¬tain content (passed indirectly through notions) existence of being is co-given. The basis for unity of being is not formed by the consistence of content, as it is in the case of the theories departing from the analysis of cognition processes, but by an act of existence realising content (essence). Such an approach makes it also possible to go beyond the convergent concept of truth. It is worth mentioning that allocation of an agent to good is realised not only by the content of duty. A statement that something is good is primary with respect to determination of this good in content. The recognised good always bears some content, however, there are no reasons to base the concept of good exclusively on indirect, formulated in concepts cognition. As primary, can be adopted the relation of man to good and not of man to law. Determination in content appears to be only an articulation of aspectual cognition of being, as an object of action. In such a case the basis for relative unity of norm and conditions of life is not the "nature of things" understood as correlate of sense but it is relation to good based on internal constitution of man as potential, not self-sufficient being. It does not mean, that the moments of the process of realisation of law singled out by Kaufmann are not important to determination of what is just. He, quite rightly, points to significant role played by norms in the evaluation of concrete situations, in man's search for closer specification in content of good innate to him. The structure of process of determining law for a concrete situation, to a great degree corresponds to the processes of determining law which take place not only in the legal sciences. Kaufmann's analyses of the process of realisation of law show the complexity of the structure of these processes and point towards important moments allowing a better understanding of law and man. Nevertheless, these analyses cannot be a basis for construction of philosophical theory of law, theory which hopes to point out the ultimate, ontological foundations for understanding law. Kaufmann's results may become fully valid only in a more general perspective including broader experience at the point of departure. (shrink)

Helmut Reich’s theory of relational and contextual reasoning is a courageous initiative for the resolution of cognitive conflicts between apparently incompatible or incommensurable views. Built upon Piagetian logico-mathematical reasoning, cognitive complexity theory, and dialectical and analogical reasoning, it includes the development of a both/and logic inclusive of binary either/or logic. Reich provides philosophic, theoretical, and even initial empirical support for the development of this form of reasoning along with a heuristic for its application. A valuable step beyond the limits of (...) binary, static, and formal reasoning, it takes relationship, context, and perspectival variations seriously in an explicitly reflective and iterative system. We can and do address conflicts not resolvable by conventional appeals to logic or evidence, including those at epistemic boundaries or produced by belief-commitment differences. Although this form of reasoning has real promise, including stepping beyond complementarity in the religion-science dialogue, it seems better directed to causally explanatory theories than to other forms of rendering meaning. Finally, its coextension requirement may render it problematic where functionally coherent explananda cannot be identified or are themselves produced or constituted by a belief system. (shrink)

Norbert Wiener’s idea of “cybernetics” is linked to temporality as in a physical as in a philosophical sense. “Time orders” can be the slogan of that natural cybernetics of time: time orders by itself in its “screen” in virtue of being a well-ordering valid until the present moment and dividing any totality into two parts: the well-ordered of the past and the yet unordered of the future therefore sharing the common boundary of the present between them when the ordering is (...) taking place by choices. Thus, the quantity of information defined by units of choices, whether bits or qubits, describes that process of ordering happening in the present moment. The totality (which can be considered also as a particular or “regional” totality) turns out to be divided into two parts: the internality of the past and the externality of the future by the course of time, but identifiable to each other in virtue of scientific transcendentalism (e.g. mathematical, physical, and historical transcendentalism). A properly mathematical approach to the “totality and time” is introduced by the abstract concept of “evolutionary tree” (i.e. regardless of the specific nature of that to which refers: such as biological evolution, Feynman trajectories, social and historical development, etc.), Then, the other half of the future can be represented as a deformed mirror image of the evolutionary tree taken place already in the past: therefore the past and future part are seen to be unifiable as a mirrorly doubled evolutionary tree and thus representable as generalized Feynman trajectories. The formalism of the separable complex Hilbert space (respectively, the qubit Hilbert space) applied and further elaborated in quantum mechanics in order to uniform temporal and reversible, discrete and continuous processes is relevant. Then, the past and future parts of evolutionary tree would constitute a wave function (or even only a single qubit once the concept of actual infinity be involved to real processes). Each of both parts of it, i.e. either the future evolutionary tree or its deformed mirror image, would represented a “half of the whole”. The two halves can be considered as the two disjunctive states of any bit as two fundamentally inseparable (in virtue of quantum correlation) “halves” of any qubit. A few important corollaries exemplify that natural cybernetics of time. (shrink)

De Vries' mutation theory has not stood the test of time. The supposed mutations of Oenothera were in reality complex recombination phenomena, ultimately explicable in Mendelian terms, while instances of large-scale mutations were found wanting in other species. By 1915 the mutation theory had begun to lose its grip on the biological community; by de Vries' death in 1935 it was almost completely abandoned. Yet, as we have seen, during the first decade of the present century it achieved an enormous (...) popularity. As this paper has tried to suggest, one of the principal reasons for this was that de Vries' theory served as a banner around which a whole crowd of disaffected Darwinians or anti-Darwinians could rally. However, not all of those who favored de Vries did so for quite the same reasons. Underlying the multitude of views ran several common threads: a dissatisfaction with current Darwinian theory born out of misunderstanding natural selection, a general misunderstanding of the nature of species, and a prejudice against speculative, nontestable theories in biology.Supporters of de Vries were not the only opponents of Darwinism, nor was the mutation theory the only alternative to natural selection. In the early twentieth century a number of theories had been proposed to explain away the problems which Darwin had left unsolved. There was the idea of orthogenesis, championed by the American paleontologists Cope, Osborn and others; organic selection (or orthoplasy) was championed by M. M. Baldwin and C. Lloyd Morgan; there were the concepts of convergent evolution proposed by Hermann Friedmann, the theory of physiological selection by John George Romanes, and the concepts of reproductive divergence by H. M. Vernon. Virtually none of these men either accepted or were strong supporters of the de Vriesian theory, for each had his own particular ‘ism” to advocate as the major factor in evolution. The existence of a large number of such theories, each purporting to be the explanation, was characteristic of evolutionary theory at the turn of the century. It is to a large extent the emphasis on such fragmentary concepts that retarded development of the comprehensive theory of evolution which emerged in the 1920's and 1930's. For the historian, however, a study of these alternative theories is instructive in trying to understand the inherent difficulties which Dawwinian theory posed to biologists at the time. De Vries' mutation theory serves historically as a mirror to reflect the critical mood of a generation hostile to the theory of natural selection.It has often been claimed that it was impossible to understand the mechanism of natural selection until it could be placed in genetic and mathematical terms. It is certainly true that great strides have been made in population genetics and the treatment of evolutionary concepts with mathematical tools in the last forty years. But the very people who developed the genetical and mathematical approach to evolution were already convinced of the essential correctness of Darwinian theory before they started. Advances in an understanding of Mendelian heredity aided greatly in solving one important issue for evolutionists: the origin of variations. And the rigor with which selection acted could best be studied by observing changes in gene frequencies (calculated mathematically) over a number of generations. But as this paper has shown, two of the basic problems which biologists faced in evaluating Darwinian theory at the turn of the century-the nature of species, and the criteria of what constituted an acceptable explanation in biological science-could not be answered directly by mathematics. What mathematical and genetical theory did do was to help convince the skeptics of the validity of the Darwinian proposition.The change in explanatory criteria which many hailed as de Vries' most important contribution to evolutionary theory seems to have been part of a general emergence of twentieth-century biology from the domination of theorizers in the nineteenth. It also marked the emergence of America from the domination of biological, and particularly evolutionary, influence of Europeans. The change occurred in three areas: in the kinds of questions asked: testable versus non-testable; in the kind of data sought: quantitative versus qualitative; and in the kinds of theories proposed: analytical and reductive—the attempt to see complex processes in terms of simpler components-as opposed to synthetic and speculative. Although ultimately wrong in his idea, de Vries and his theories rode high on the wave of “experimentalism” which was the harbinger of a new era in evolutionary theory. (shrink)

We often forget that art and science are not dissociated, nor indeed antagonistic, but rather allow a creative interplay to emerge from which arises the generation of new forms of knowledge. According to Parkinson, “the analogy between the new painting and the new physics consists in that elements formerly held as cognitive or conceptual a-prioris enter as constitutive factors in the very structure of the edifices of art and science”. How exactly does it work? If for us nowadays it’s (...) relatively easy to think of the mimetic moment of art as a prelude to geometry, it is not so trivial to claim how higher-order representational symbolic epistemic structures arise from the lifeworld, or simply how both interact together. The aim of this paper is to stake out the complexity of processes going from the lifeworld and, before that, from the life of pictorial language, to h.o.r.s.e.s., in order to apply this model to further enquiries. In the first part, we will reactivate the Kantian interdependence between aesthetics and epistemology via the intersubjective dimension, in order to understand how the shaping of forms and the figuring-out patterns remain an essential component of any epistemic structure as such. In the second part, moving from Hacking, Husserl and Foucault, we will look into the way in which the evidence of symbolic structures can be maintained even alongside a genetic conception of science. Art plays an essential role in such a conception, in that it opens new horizons of figurativity in which new shapes can arise and new kinds of objectivities can be accepted as belonging to our epistemic experience of the world. (shrink)

Complex, multigenic biological traits are shaped by the emergent interaction of proteins being the main functional units at the molecular scale. Based on a phenomenological approach, algorithms for quantifying two different aspects of emergence were introduced (Wegner and Hao in Progr Biophys Mol Biol 161:54–61, 2021) describing: (i) pairwise reciprocal interactions of proteins mutually modifying their contribution to a complex trait (denoted as weak emergence), and (ii) formation of a new, complex trait by a set of n ‘constitutive’ proteins (...) at concentrations exceeding individual threshold values (strong emergence). The latter algorithm is modified here to take account of protein redundancy with respect to a complex trait (‘full redundancy’). Irreducibility is considered a necessary and sufficient criterion for strong biological emergence; if one constitutive protein is missing, or its concentration drops below the threshold the trait is lost. A definition based on ‘unpredictability’ is dismissed, because this criterion is irrelevant for the evolution of a complex trait, and apparent unpredictability may rather reflect our basic deficits in understanding unless we can provide an unequivocal proof for it. The phenomenological approach advocated here allows to identify hidden rules according to which strongly emergent traits may be organized. This is of high value for understanding the evolution of complex traits which seems to require the saltational advent of all constitutive proteins ‘in one turn’ to arrive at a functional trait providing for an improved fitness of the organism. Rather than being a purely random process, it may be guided by fundamental structural principles. (shrink)

In 1913, in a draft for a new Preface for the second edition of the Logical Investigations, Edmund Husserl reveals to his readers that "The source of all my studies and the first source of my epistemological difficul­ties lies in my first works on the philosophy of arithmetic and mathematics in general", i.e. his Habilitationsschrift and the Philosophy of Arithmetic: "I carefully studied the consciousness constituting the amount, first the collec­tive consciousness (consciousness of quantity, of multiplicity) in its simplest (...) and higher levels (consciousness of sums, sums of sums etc.). I immediately separated proper (intuitive) and symbolic consciousness, in the characteriza­tion of the former I hit the radical difference of categorial consciousness [...] and sensuous consciousness of unity." Later on, in the Third Investigation, Husserl makes some very specific claims, that are of considerable importance to assess the development of his early works and their relation to his later phenomenology: "This first work of mine (an elaboration of my Habilitationsschrift, [...], 1887) should be compared with all assertions of the present work on compounds, moments of unity, complexes, wholes and objects of higher order. I am sorry that in many recent treatments of the doctrine of "Gestalt-qualities", this work has mostly been ignored, though quite a lot of the thought-content of later treatments by Cornelius, Meinong etc., of questions of analysis, apprehension of plurality and complexion is already to be found, differently expressed, in my Philosophy of Arithmetic. I think it would still be of use today to consult this work on the phenomenological and ontological issues in question, especially since it is the first work that attached importance to acts and objects of higher order and investigated them thoroughly." Hence, at the time of the Ideas, Husserl retrospectively considers his first works4 as being still relevant for phenomenological issues. Not only does Husserl advance a very interesting priority claim with respect to Von Ehrenfels’ development of the notion of Gestalt and Meinong’s development of Gegenstandstheorie, but also a strong affirmation of continuity and coherence of his position from 1887 all the way up to 1913, encompassing the alleged “revolution” in his position from psychologism to anti-psycho­logism in the 1890s. Indeed, according to much of the recent secondary literature, in 1894, right in the middle of the ten “incubation” years between the Philosophy of Arithmetic and the Logical Investigations, Frege’s destruc­tive review would have converted Husserl to antipsychologism practically overnight. This gives us two conflicting interpretations: on the one hand, Husserl himself in 1913 still seems to approve of the Philosophy of Arithmetic and even considers it to contain valuable phenomenological material, on the other, it is routinely dismissed by much of the secondary literature as hope­lessly psychologistic. So which one is it: do we have a phenomenological arithmetic or a psychologistic arithmetic in Husserl’s first book? On balance, I think that Husserl in his Philosophy of Arithmetic developed a position that does not fall prey to the exaggerated and poorly aimed critiques of Frege, while at the same time, as a descriptive psychology of the genesis and constitution of number, it can certainly be considered as providing phenome­nologically meaningful analyses, though of course not made from within an explicitly transcendental phenomenological framework. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Guide to Personal Knowledge: The Philosophy of Michael Polanyi: Tacit Knowledge, Emergence and the Fiduciary Program by Dániel Paksi and Mihály HéderAlessio TartaroPAKSI, Dániel and Mihály Héder. Guide to Personal Knowledge: The Philosophy of Michael Polanyi: Tacit Knowledge, Emergence and the Fiduciary Program. Wilmington, Del.: Vernon Press, 2022. xxiii + 209 pp. Cloth, $65.00Famous for the concept of "tacit knowledge," Polanyi is a figure who looms over twentieth-century (...) philosophy without ever establishing himself as one of its major protagonists. Yet, Polanyi tackled central problems in twentieth-century Western philosophy and offered [End Page 358] insightful and original analyses thereof. In Personal Knowledge, Polanyi articulates ideas about metaphysics, mathematics, evolution, philosophy and sociology of science, epistemology, philosophy of language, political theory, theology, and more. The richness of the contents, but also their deep unity, make Polanyi's work a unique piece in the philosophical landscape of his time, full of fruitful insights that are still relevant nowadays.Guide to Personal Knowledge, written by two of the leading experts on Polanyi's philosophy, deserves the merit of providing an accessible introduction to this complex work. The book is divided into thirteen chapters, each corresponding to the respective chapter of Personal Knowledge. In each chapter, Paksi and Héder clearly explain Polanyi's main ideas, presenting them in the same order as they appear in Personal Knowledge. The chapters are introduced by a "Goals of the chapter" section that provides a series of key points, where the authors summarize Polanyi's objectives in the corresponding chapter of Personal Knowledge.The Guide is interspersed with many direct quotations from Personal Knowledge that allow the reader to link the Guide to the original text. The use of figures and tables illuminates even the most complex concepts, such as "tacit integration" and the difference between "random and ordered systems." The Guide is enriched by twenty-five boxes that provide information on ideas, authors, and concepts directly or indirectly referenced by Polanyi in Personal Knowledge. These boxes are a valuable supplement. In some cases, they offer insight into contemporary events, theories, and scholars to which Polanyi alludes but that he does not elaborate on, for example, about the role of the Michelson-Morley experiments in Einstein's development of the theory of relativity. In other cases, boxes develop a comparison between Polanyi's ideas and related philosophical figures, such as Thomas Kuhn and Samuel Alexander. Thanks to the boxes, the reader gains a richer and more complete view of Polanyi's thought.In the preface, Paksi and Héder preliminarily introduce some key concepts for understanding Polanyi's work, including "objectivity," "trust" and "fiduciary program," "tacit knowledge," "intellectual passions," "deceptive substitution," "moral inversion," "operational principles," "logic of achievement," and "emergence." Their analysis always proves faithful to Polanyi's thought, and the authors show how these concepts are interrelated and constitute the pillars of Personal Knowledge's argumentative structure. Other equally crucial concepts in Polanyi's work, for example, "commitment," "indwelling," "tradition," "conviviality," "anthropogenesis," "ultrabiology," are not introduced in the preface, but they are explored in depth in the respective chapters.The thirteen chapters of the book recapitulate in detail the main thematic segments of Personal Knowledge. The critique of objectivism and positivist views of science is explained and analyzed in chapters 1 to 4. This critique is articulated on several levels. Polanyi first criticizes [End Page 359] objectivism because it attempts to remove the personal element from scientific knowledge in order to pursue ever higher degrees of formalism, neutrality, and impersonality. Polanyi asserts, however, that the personal element is irreducible, and then proceeds to demonstrate how it operates: in the evaluation of probability statements (chapter 2), in the appreciation of ordered patterns (chapter 3), and in the practice of skills (chapter 4). The ineliminability of the personal element shows that objectivism is false. Paksi and Héder brilliantly retrace the train of thought that leads Polanyi to this conclusion.The second theme that runs across Personal Knowledge concerns the tacit foundation of human intellectual abilities and, consequently, of science and society. In chapter 6, the authors follow Polanyi's disparate arguments about animal intelligence, human... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Introduction: Emancipation from Metaphysics? Natural History, Natural Philosophy and the Study of Nature from the Late Renaissance to the EnlightenmentTinca Prunea-Bretonnet and Oana MateiThis special issue is devoted to the analysis of the relationship between natural history, natural philosophy, and the metaphysics of nature in the early modern period up to the mid-eighteenth century. It considers the evolving dynamics among these disciplines as well as the role played by (...) natural history in modern hermeneutics and aesthetics. The collected papers examine how early modern natural history acquires a growing importance in the study of nature, while observation and experiment gain epistemic priority among experimental philosophers. In the early modern and modern periods the critique of systems of natural philosophy and of Cartesian metaphysics goes hand-in-hand with the prioritization of experimental facts and collected data. The latter become the first, indispensable step in the process of knowledge acquisition. This is the case for Francis Bacon and his followers, who establish natural and experimental history as [End Page 549] the preliminary step and the foundation for natural philosophy. Baconian natural history consists of a vast collection of observations and experiments from which, by induction, the experimenter is able to provide axioms and general rules of nature. These axioms and general rules constitute the foundation on which natural philosophy would be built. According to this approach, theoretical claims must be supported by experimental evidence, while natural philosophical theories, alert to the dangers of speculation, are inferred, by induction, from natural and experimental history (Anstey 2005, pp. 215–42; Anstey 2020; Anstey and Jalobeanu 2022, pp. 222–37; Anstey and Vanzo 2012, pp. 499–518; Corneanu et al. 2012; Jalobeanu 2015; Serjeantson 2014, pp. 681–705). Laws and principles are thus to be admitted in the study of nature, but only if founded on experimentally verified facts. This perspective seems to reject speculation and abstract systems and to contest their role in natural philosophy altogether. However, in spite of its influence on eighteenth-century thinkers, this approach to natural history would not go uncontested.In the eighteenth century these transformations were accompanied by a new emphasis on metaphysics in the study of nature. While natural history was still largely regarded as preliminary to natural philosophy and continued to play a significant role in knowledge acquisition, Enlightenment philosophers elaborated new methods which rehabilitated metaphysical principles in the study of nature and promoted competing perspectives reassessing their pre-eminence (Anstey 2020). Two rival perspectives seem to compete on the philosophical scene: on the one hand, experimental thinkers justifying the theoretical autonomy of natural philosophy and emphasizing the prevalence of mathematical and empirically-oriented methodologies; on the other hand, novel approaches to the theory of principles arguing for the foundational role of metaphysical (a priori) principles and of speculative disciplines, such as metaphysical cosmology. This special issue explores the tension between the new role conferred to metaphysical disciplines and the study of nature, including a particular focus on the writings of Maupertuis, d’Alembert, and Kant. Our aim is to nuance the familiar narrative that inscribes Kant in the metaphysical tradition of Descartes and Wolff and opposes the latter to an experimental lineage comprising post-Newtonian thinkers such as Condillac, d’Alembert, and Maupertuis (Leduc 2015, pp. 11–30; contrast with Anstey 2018, pp. 131–50).In order to shed new light on these transformations and tensions, the collected papers address the complex interplay between natural history, natural philosophy, and the metaphysics of nature. Particular attention is devoted to the different methodologies in use starting with the late Renaissance and leading up to the mid-eighteenth century. We examine not only conceptions arguing for a decisive role played by observation [End Page 550] and experiment, but also more speculative treatments of the study of nature, where principles and metaphysical standpoints reclaim a foundational function, albeit through a revised definition of metaphysics and a novel understanding of the role of speculative disciplines, such as cosmology.Andreas Blank’s paper, “Protestant Hermeneutics and the Persistence of Moral Meanings in Early Modern Natural Histories,” examines the divergences in the symbolic interpretations of animals proposed in hermeneutics and in natural histories of the sixteenth and seventeenth... (shrink)

Physics says that it cannot deal with the mind-brain problem, because it does not deal in subjectivities, and mind is subjective. However, biologists still claim to seek a material basis for subjective mental processes, which would thereby render them objective. Something is clearly wrong here. I claim that what is wrong is the adoption of too narrow a view of what constitutes objectivity, especially in identifying it with what a machine can do. I approach the problem in the light of (...) two cognate circumstances: the measurement problem in quantum physics, and the objectivity of standard mathematics, even though most of it is beyond the reach of machines. I argue that the only resolution to such problems is in the recognition that closed loops of causation are objective; i.e. legitimate objects of scientific scrutiny. These are explicitly forbidden in any machine or mechanism. A material system which contains such loops is called complex. Such complex systems thus must possess nonsimulable models; i.e. models which contain impredicativities or self-references which cannot be removed, or faithfully mapped into a single coherent syntactic time-frame. I consider a few of the consequences of the above, in the context of thus redrawing the boundary between subject and object. (shrink)

Continuing his series of books on the mathematics of gambling, the author shows how a simple-rule game such as roulette is suited to a complex mathematical model whose applications generate improved betting systems that take into account a player's personal playing criteria. The book is both practical and theoretical, but is mainly devoted to the application of theory. About two-thirds of the content is lists of categories and sub-categories of improved betting systems, along with all the parameters that might (...) stand as the main objective criteria in a personal strategy - odds, profits and losses. The work contains new and original material not published before. The mathematical chapter describes complex bets, the profit function, the equivalence between bets and all their properties. All theoretical results are accompanied by suggestive concrete examples and can be followed by anyone with a minimal mathematical background because they involve only basic algebraic skills and set theory basics. The reader may also choose to skip the math and go directly to the sections containing applications, where he or she can pick desired numerical results from tables. The book offers no new so-called winning strategies, although it discusses them from a mathematical point of view. It does, however, offer improved betting systems and helps to organize a player's choices in roulette betting, according to mathematical facts and personal strategies. It is a must-have roulette handbook to be studied before placing your bets on the turn of either a European or American roulette wheel. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Philosophic Foundations of Mimetic Theory and Cognitive Science(Including Artificial Intelligence)Jean-Pierre Dupuy (bio)In the mid 1970s I discovered at the same time cognitive science and mimetic theory. Being a philosopher with a scientific background, I immediately brought them together and tried to reconceptualize the latter in terms of the former. In a sense, I haven't stopped doing that in the last 45 years. That is why I feel fully (...) at home with the goals pursued by the organizers of this conference.I do not believe it is feasible or even desirable to operate the rapprochement between the two disciplines at a global level. The history of cognitive science is exceedingly involved, and the part played by artificial intelligence in it compared to the part played by the neurosciences has varied greatly over time.1 Only a piecemeal approach makes sense. I present here four short case studies that cover the whole period, from the beginnings in cybernetics to today's artificial intelligence (AI).In order to better situate these studies within a broader frame, I propose the diagram in Figure 1. To comment on it would require more time than available for my whole presentation. Let me just say the following. [End Page 1]It is essential to distinguish between two kinds of AI. The first to bear this name was launched by economist Herbert Simon and computer scientist Allan Newell at a Dartmouth conference in 1956. It was based on the premise that thinking is computing, with this computation bearing on sentences of a "language of thought" implementable in a digital computer. It turns out that this AI(1) was progressively substituted from the 1980s onward by an AI(2), which, to some extent, was a return to a fundamental result obtained by cybernetics in 1943. Neurophysiologist Warren McCulloch and mathematician Walter Pitts had constructed a mathematical model of a network of elementary calculators called "neurons" and explored its properties. The capacity to "think" was one of these. It was not situated at the elementary level, as was the case in AI(1), but it emerged at the collective level from the interactions between the neurons.This model was heavily criticized by the supporters of AI(1),2 and its first implementations, in the notorious "Perceptron" in particular (1957), were pitiful failures. However, the emergence of "second-order cybernetics" under the guidance of cybernetician Heinz von Foerster and the theory of complex, self-organizing systems that it helped develop, in cooperation and rivalry with similar efforts in the physical sciences, enabled the neural network model to come to a second life under different names: formal neurons, deep learning, big data, and the like. Together, they constitute AI(2).The following network of influences wouldn't have been possible without its stem, that is, the boxes containing the names of Kurt Gödel and Alan Turing. The former revolutionized logic by showing that reasoning about arithmetic and arithmetic are one and the same, insofar as it is possible to code in a 1-to-1 fashion propositions about integers (for instance, "7 is a prime number") by means of integers. The latter demonstrated that some mechanisms can self-transcend inasmuch as they generate an ensemble of outputs that cannot be defined mechanistically. Later, John von Neumann, who is credited along with Alan Turing with having invented the digital computer, would use this logical possibility to define complexity: A mechanism is complex if it is capable of generating one more complex than itself. The gate was open for the theories of complex, self-organizing systems to thrive and, by way of consequence, for AI(2) to emerge.fascination with modelsHerbert Simon (1916–2001), winner of the Nobel Prize in economics for his work on what he called "bounded rationality," is generally considered to be one [End Page 2] Click for larger view View full resolutionFigure 1.of the founders of artificial intelligence. Some cognitive scientists still rely on the computer program that he devised with Alan Newell to simulate the creative processes of human thought—a program aptly named "General Problem Solver." The title of one of his principal works, The Sciences of the... (shrink)

Our paper explores how the affective energies and cultural expectations set in motion by best-selling American sentimental novels like Hannah Foster's The Coquette and Susanna Rowson's Charlotte Temple informed the notorious mid-nineteenth-century American trial of Amelia Norman, who attempted to kill the man who seduced her. Once newspapers, defense lawyers, and reformers such as Lydia Maria Child recast the defendant as a sentimental heroine, the trial became about seduction, and Norman was acquitted against the weight of the evidence. Sentimental novels (...) turn on the contrast between the passive victim status of the heroine and the active libidinal quest of the rake-villain. As Cathy Davidson points out, this fiction is "about silence, subservience, stasis (the accepted attributes of women as traditionally defined) in contradistinction to conflicting impulses toward independence, action, and self expression (the ideals of the new American nation)." The seduction plot diverts attention from this disparity by establishing an affective solidarity between heroine and reader and elevating the ruined woman to a tragic status. The sentimental emplotment of Norman's life marshaled a powerful set of emotional responses and moral judgements on her behalf. Norman claimed insanity. And since sentimental heroines are supposed to go mad when they are seduced and abandoned, the jury was prepared to interpret her symptoms according to her lawyers' very strategy for establishing her innocence. Ultimately, however, Norman embodied the plight of the sentimental heroine at the same time that she contested her fictional counterpart's fate. In this way, her trial spectacularized the disparity which the sentimental novel conjures up and displaces but never resolves. The common law theory of coverture, which severely limited the legal personhood of married women, has received a great deal of scholarly attention. Cases like Norman's remind us that unmarried women were also subject to draconian constraints on their legal personhood. The tort of seduction is a key example. Legal historians trace the development of the seduction tort from its common-law origins, when men's property interest in women's bodies formed the basis of the cause of action, to 1851, when Field Code authors (including Norman's lawyer David Graham) persuaded several states to grant seduced women standing to bring their own cause of action. Consequently, courts were forced to reckon with the seduced woman as a moral agent capable of consenting to sex. As trials like Norman's demonstrate, sentimental novels helped lay the groundwork for this shift in the law by elucidating a subjectivity for the seduced woman. Yet the doctrinal implications of Norman's precedent-setting trial had a second, more ambiguous strain. Norman's sentimental strategy proved so powerful that men on trial for killing their wive's seducers appropriated it to bring their own stories before juries and to reinforce male sexual norms. In the end, then, Norman's trial fostered legal reform, but it also suggested - as Child's fictionalization of the case in "Rosenglory" recognized - that only sustained and multifaceted efforts to change cultural as well as legal norms could improve the sexual status of women. Scholars such as Wai Chee Dimock have argued for a focus "on the historical and historically shifting relations between law and literature" - a view we endorse. Where we differ from Dimock is in our diversion of attention away from abstract ideas of law laid out by treatise writers and philosophers in favor of law experienced and manipulated by individuals. So, too, we are interested less in representations of concepts such as justice in legal and literary texts than we are in the ways in which literature (broadly conceived) can create provisional and fragile opportunities for concrete instantiations of justice and even generate legal change (for good or ill). Going further, we would argue that to the extent legal change motivates rather than simply mirrors cultural change, it needs literature to be effective. Thus, we see no need to characterize - and indeed reject the depiction of - law as "a limited arena" in which ideas of morality have little place. This project, then, responds to Gregg Crane's call for attention to "the complex and slippery historical interactions of law and literature that shape and are shaped by an ever changing cultural idiom of justice." The extended story of Amelia Norman not only constitutes a case study in the inescapable interaction between the overlapping and interdependent discourses of law and literature, but also reveals the literary and legal consequences of that interaction. (shrink)

A received criticism of information is that it is an instrumentalization of knowledge. This article questions the conditions for such a critique. Examining developmental systems theory, biology and social sciences, it argues that information is a situated event; that it is intrinsic to the development and (de)structuring of mnemic organization (meaning) at a number of levels; and that such developmental systems are epigenetically constituted. This concept of information leads to: a critique of the statistical-quantitative determination of information that is put (...) forward as its mathematical theorization; a review of characterizations of ‘information societies’; and comprehending instrumentalization as a variant of the event of information at the specific level of the constitution of the human understood as an anthropotechnical complex. (shrink)

Abstract.At the heart of the most radical proposals in Stuart Kauffman's Investigations is his attempt to show that we find in evolutionary biology some configuration spaces—the sets of possible developments for any given system—that (unlike those in traditional physics of Newtonian, relativistic, and quantum stripes) cannot be completely described in advance. We bring Charles Peirce's work on the philosophy of continuity to bear on the problem and discover, first, that Kauffman's arguments do not succeed; second, that Peirce's metaphysics provide new (...) and sounder arguments for the same propositions; third, that Peirce's rigorous but nonstandard treatment of mathematical continuity shows great promise for modeling the unpredictability and growth we find in evolutionary biology; fourth, that it also strengthens a development only hinted at by biologists thus far—the inevitable involvement of the observer's mind in constituting the objects of science. We close with a logical argument for the surprising relevance of metaphysical hypotheses in the natural sciences and with suggestions for future work that will connect these questions to what Kauffman terms the “narrative stance” in biology. (shrink)

Big Data’s calculative ontology relies on and reproduces a form of hyperindividualism in which the ontological unit of analysis is the discrete data point, the meaning and identity of which inheres in itself, preceding, separate, and independent from its context or relation to any other data point. The practice of Big Data governed by an ontology of hyperindividualism is also constitutive of that ontology, naturalizing and diffusing it through practices of governance and, from there, throughout myriad dimensions of everyday (...) life. In this paper, I explicate Big Data’s ontology of hyperindividualism by contrasting it to a coconstitutive ontology that prioritizes relationality, context, and interdependence. I then situate the ontology of hyperindividualism in its genealogical context, drawing from Patrick Joyce’s history of liberalism and John Dewey’s pragmatist account of individualism, liberalism, and social action. True to its genealogical provenance, Big Data’s ontological politics of hyperindividualism reduces governance to the management of atomistic behavior, undermines the contribution of urban complexity as a resource for governance, erodes the potential for urban democracy, and eviscerates the possibility of collective resistance. (shrink)

Inequities shape the everyday experiences and life chances of individuals at the margins of societies and are often associated with lower health and particular challenges in accessing quality treatment and support. This fact is even more dramatic for those individuals who live at the nexus of different marginalized groups and thus may face multiple discrimination, stigma, and oppression. To address these multiple social and structural disadvantages, intersectional approaches have recently gained a foothold, especially in the public health field. This study (...) makes an empirically informed argument for the merits of increasing the use of intersectional frameworks in the mental health field. In the mental health field, the potential for greater attention to multiple unjustified disadvantages appears to be of particular importance, as many mental health service users already face stigma and discrimination because of their mental health issues and thus may benefit particularly frequently and far-reachingly from effective problem awareness about multiple disadvantages. Intersectional approaches may help address the complexity, interdependence, and mutual constitution of social inequalities better than previous approaches that examined only one category of sociostructural stratification. By helping to identify the needs of those at the greatest risk of poor health, intersectional frameworks and tools can contribute not only to better address the needs of multiple disadvantaged individuals with mental health issues but also to the promotion of equity in the field of mental health, contributing to the reduction of health disparities. (shrink)

In patent law most of the crucial legal questions such as patentability and infringement are linked to the patent claims. The European Patent Office regards patent claims as a set of independent features which are examined separately in a more or less formal way. The author has found that this approach allows for developing a simple mathematical model which treats patent claim features as logical statements and patent claims as compound statements wherein the individual statements are connected by logical connectives. (...) The proposed mathematical model provides a uniform system for examining various legal questions that are dealt with separately under current case law, moreover, it allows for developing an expert system for resolving complex legal situations and for automating the evaluation of a large number of patent claim variants that is currently not possible. (shrink)

In mainstream Anglo-American philosophy, the relation between cognition and community has been defined primarily in terms of the generalization of the mathematical function, especially as a model for the nature of rules, which thus come to be under-stood as algorithms. This leads to the elimination of both the reflexive, synthesizing subject, and the intrinsic communal-historical nature of argumentation and belief-formation. Against this approach, I follow R.G. Collingwood’s hitherto unrecognized strategy in his Essay on Metaphysics and argue that the relation of (...) cognition and community is better understood by way of the ancient and forgotten model of creedal rules of faith or trust. These will be shown to have the logical form of first person performative rules of faith or trust that generate third person declaratives or proposi-tions, and so constitute the possibility conditions for an argumentational logic of question and answer. They restore the synthetic subject, for they are not algorithms but reflexive and interpretive formulae; they are communally constituted and so historically saturated; and they reinstate an ontological theory of truth as disclosure, with coherence and comprehensiveness as its criteria. In these respects, as Collingwood saw, the creedal model provides a fresh interpretation of the historicality of argumentation and redefines the relation of cognition and community in terms of the interdependence of faith and reason. (shrink)

There is no topic that attracts more attention, more energy and time and devotion, than love. As long as there's been recorded history, love has taken center seat as the inspiration for countless paintings, instigator of wars, muse of untold poets and musicians. And just as poetry, art and music have the ability to communicate something about love that is difficult to articulate with words, the same is true of mathematics. Of course, mathematics can't easily help us translate (...) the emotional side of love, emotions rarely behave in a neatly ordered, rational and easily predictable way. It is difficult to quantify the rollercoaster of romance or to define how lovers might feel via a set of simple equations. But that doesn't mean that mathematics isn't crucial to understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns, from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In [this book, the author] takes the listener on a fascinating journey through the patterns that define our love lives, tackling some of the most common yet complex questions pertaining to love: What's the chance of us finding love? What's the chance that it will last? How does online dating work, exactly? When should you settle down? How can you avoid divorce? When is it right to compromise? Can game theory help us decide whether or not to call? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves, with great insight, wit and fun, that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, patterns of love. (shrink)

The increasing global demand for energy necessitates devoted attention to the formulation and exploration of mechanisms of thermal heat exchangers to explore and save heat energy. Thus, innovative thermal transport fluids require to boost thermal conductivity and heat flow features to upsurge convection heat rate, and nanofluids have been effectively employed as standard heat transfer fluids. With such intention, herein, we formulated and developed the constitutive flow laws by utilizing the Rossland diffusion approximation and Stephen’s law along with the (...) MHD effect. The mathematical formulation is based on boundary layer theory pioneered by Prandtl. Governing nonlinear partial differential flow equations are changed to ODEs via the implementation of the similarity variables. A well-known computational algorithm BVPh2 has been utilized for the solution of the nonlinear system of ODEs. The consequence of innumerable physical parameters on flow field, thermal distribution, and solutal field, such as magnetic field, Lewis number, velocity parameter, Prandtl number, drag force, Nusselt number, and Sherwood number, is plotted via graphs. Finally, numerical consequences are compared with the homotopic solution as a limiting case, and an exceptional agreement is found. (shrink)