The case for longtermism depends on the vast potential scale of the future. But that same vastness also threatens to undermine the case for longtermism: If the universe as a whole, or the future in particular, contain infinite quantities of value and/or disvalue, then many of the theories of value that support longtermism (e.g., risk-neutral total utilitarianism) seem to imply that none of our available options are better than any other. If so, then even apparently vast effects on the (...) far future cannot in fact make the world morally better. On top of this, some strategies for avoiding this problem of “infinitarian paralysis” (e.g., exponential pure time discounting) yield views that are much less supportive of longtermism. In this chapter, we explore how the potential infinitude of the future affects the case for longtermism. We argue that (i) there are reasonable prospects for extending risk-neutral totalism and similar views to infinite contexts and (ii) many such extension strategies will still support the case for longtermism, since they imply that when we can only effect (or only predictably affect) a finite, bounded part of an infinite universe, we can ignore the unaffectable rest of the universe and reason as if the finite, affectable part were all there is. (shrink)

We agree with Hilbert’s assessment that the concept of ‘infinite’ stands in need of clarification – however, our proposed ‘solution’ is almost diammetrically opposed to that of Hilbert.

Interviewed by Christian Sheppard about Richard Kearney’s book The God Who May Be (2001), and speaking also of Kearney’s On Stories (2002) and Strangers, Gods and Monsters (2002), David Tracy remarks on Kearney’s development of the possible as a major philosophical and theological category. Showing the importance of the idea of the infinite, he speaks of the need for a hermeneutical moment to follow the initial encounter, and of a call for general criteria of judgment of the Other. He (...) discusses, too, the dangers and the rewards of doing both theology and philosophy at the same time. To him the category of the Impossible enters into the possible and is not only positive but desired. In a conversation that ranges widely - Derrida and Levinas, Jean-Luc Marion, Angelus Silesius, Kierkegaard, Nicholas of Cusa, Heidegger and Ricoeur, and, in the call for plurality, William James - the two speakers discuss both poetic sensibility and the call for justice. Reflecting on fragmentation, Tracy speaks of the need to focus on suffering and the importance of attaining a sense of ‘the entire story, all of the metaphors’. (shrink)

Christian Pfeiffer explores an important, but neglected topic in Aristotle's theoretical philosophy: the theory of bodies. A body is a three-dimensionally extended and continuous magnitude bounded by surfaces. This notion is distinct from the notion of a perceptible or physical substance. Substances have bodies, that is to say, they are extended, their parts are continuous with each other and they have boundaries, which demarcate them from their surroundings. Pfeiffer argues that body, thus understood, has a pivotal role in Aristotle's natural (...) philosophy. A theory of body is a presupposed in, e.g., Aristotle's account of the infinite, place, or action and passion, because their being bodies explains why things have a location or how they can act upon each other. The notion of body can be ranked among the central concepts for natural science which are discussed in Physics III-IV. (shrink)

The concept of inner experience in Peter John Olivi. This article discusses the notion of inner experience and self-knowledge in Peter John Olivi. According to Olivi, each act of cognition is accompanied by some sort of self-awareness or self-experience. Therefore, the problem of an infinite regress of acts of self-awareness arises. Olivi tries to solve this problem by drawing on a theory of reflection which bears a striking resemblance to modern self-representational or dispositional accounts of consciousness. Thus, in order (...) to be said to be »known« or »certain« it is not necessary for each single act of intellect to be followed by a higher-order act; Olivi argues that in many cases a simple first-order cognitive act suffices. (shrink)

How should you decide what to do when you’re uncertain about basic normative principles? A natural suggestion is to follow some "second-order:" norm: e.g., obey the most probable norm or maximize expected choiceworthiness. But what if you’re uncertain about second-order norms too—must you then invoke some third-order norm? If so, any norm-guided response to normative uncertainty appears doomed to a vicious regress. This paper aims to rescue second-order norms from the threat of regress. I first elaborate and defend the claim (...) some philosophers have made that the regress problem forces us to accept normative externalism, the view that at least one norm is incumbent on all agents regardless of their normative beliefs. But, I then argue, we need not accept externalism about first-order norms, thus closing off any question of how agents should respond to normative uncertainty. Rather, we can head off the threat of regress by ascribing external force to a single second-order norm: the enkratic principle. (shrink)

This article deals with algebraic logic. In particular, it discusses the theory of consequence operations and the general concept of logical independency. The advantage of this general view is its gr- eat applicability: The stated properties of consequence operations hold for almost every logical system. The notion of independency is well known and important in logic, philosophy of science and mathematics. Roughly speaking, a set is independent with respect to a consequence operation, if none of its elements is a consequence (...) of the other elements. The property of being an independent set guarantees therefore that none of its elements is superfluous. In particular, I'm going to show fundamental results for every consequence operation, and hence for every logic: no infinite independent set is finite axiomatizable, and every finite axiomatizable set has relative to a finitary consequence operation an independent axiom system. The main result is that in sentential logic every set of formulas has an independend axiom system. (shrink)

Some compatibilists have responded to the manipulation argument for incompatibilism by proposing an historical theory of moral responsibility which, according to one version, requires that agents be morally responsible for having their pro-attitudes if they are to be morally responsible for acting on them. This proposal, however, leads obviously to an infinite regress problem. I consider a proposal by Haji and Cuypers that addresses this problem and argue that it is unsatisfactory. I then go on to propose a new (...) solution inspired by the libertarian theory of Robert Kane. (shrink)

Pontus de Tyard may be well known as a poet of la Pléiade, also as the bishop of Chalon-sur-Saône towards the end of his life, yet throughout all these, he was a philosopher. He played an important part in the Royal Academy in promoting philosophy in the French language, being one of the first to write in French. His metaphysics is a good example of the poverty of philosophy in the Renaissance. His first philosophical works were devoted to the arts: (...) Solitaire premier (1552) and Solitaire second (1555). Metaphysics appears for the first time in the Second Curieux (1578), when De l’Univers ou Discours de la nature du Monde et de ses parties, published 20 years prior, was divided into two parts. Hence one of the first metaphysics in French was born of physics and astronomy. There are three characters in Tyard’s Curieux: Curieux gathering all opinions he can find, Hieromnime expressing an orthodox theology, and Solitaire proposing in first person generally skeptical philosophical conclusions. The metaphysics of the future-bishop sometimes resemble a cabinet of curiosities, but with a theological guardrail. For metaphysical reasons, Tyard overpasses geocentrism and infinite universe to a universe in expansion of modern sciences. (shrink)

In this paper, Anselm’s argument for the uniqueness of God or, more precisely, something through which everything that exists has its being is reconstructed. A first reading of the argument leads to a preliminary reconstruens with one major weakness, namely the incompleteness of a central case distinction. In the successful attempt to construct a more tenable reconstruens some additional premises which are deeply rooted in an Anselmian metaphysics are identified. Anselm’s argument seems to depend on premises such as that if (...) two things have the same nature, then there is one common thing from which they have this nature and in virtue of which they exist. Furthermore it appears that infinite regresses are excluded by the premise that if everything that exists is through something, then there is something through which it is “most truly”. (shrink)

Georg Cantor a cherché à assurer les fondements de sa théorie des ensembles. Cet article présente les differentiations cantoriennes concernant la notion d’infinité et une perspective historique de l’émergence de sa notion d’ensemble.

Christian Marazzi's first book: a post-Fordist classic on the roots to economic crises in the contemporary age. Communication as work: we have recently experienced a profound transformation in the processes of production. While the assembly line excluded any form of linguistic productivity, today, there is no production without communication. The new technologies are linguistic machines. This revolution has produced a new kind of worker who is not a specialist but is versatile and infinitely adaptable. If standardized mass production was dominant (...) in the past, today we produce an array of different goods corresponding to specific consumer niches. This is the post-Fordist model described by Christian Marazzi in Capital and Affects. Tracing the development of this new model of labor from Toyota plants in Japan to the most recent innovations, Marazzi's critique goes beyond political economy to encompass issues related to social life, political engagement, democratic institutions, interpersonal relations, and the role of language in liberal democracies. This translation at long last makes Marazzi's first book available to English readers. Capital and Affects stands not only as the foundation to Marazzi's subsequent work, but as foundational work in post-Fordist literature, with an analysis startlingly relevant to today's troubled economic times. This Semiotext edition includes the afterword Marazzi wrote for the 1999 Italian edition. (shrink)

The article proposes an interpretation of Kant’s notions of form of, and formal intuition of space to explain and justify the claim that representing space as object requires a synthesis. This involves identifying the transcendental conditions of the analytic unity of consciousness of this formal intuition and distinguishing between it and its content. On this reading which builds upon recent proposals, footnote B160–1n. involves no revision of the Transcendental Aesthetic: space is essentially characterized by non-conceptual features. The article also addresses (...) worries about the infinite magnitude and the unicity of space, by considering the characteristics and requirements of geometric constructions. (shrink)

In order to reason in a non-trivializing way with contradictions, para- consistent logics reject some classically valid inferences. As a way of re- covering some of these inferences, Graham Priest ([Priest, 1991]) proposed to nonmonotonically strengthen the Logic of Paradox by allowing the se- lection of “less inconsistent” models via a comparison of their respective inconsistent parts. This move recaptures a good portion of classical logic in that it does not block, e.g., disjunctive syllogism, unless it is applied to contradictory (...) assumptions. In Priest’s approach the inconsistent parts of models are compared in an extensional way by considering their inconsis- tent objects. This distinguishes his system from the standard format of (inconsistency-)adaptive logics pioneered by Diderik Batens, according to which (atomic) contradictions validated in models form the basis of their comparison. A well-known problem for Priest’s extensional approach is its lack of the Strong Reassurance property, i.e., for specific settings there may be infinitely descending chains of less and less inconsistent models, thus never reaching a minimally inconsistent model. In this paper, we demonstrate that Strong Reassurance holds for the extensional approach under a cardinality-based comparison of the incon- sistent parts of models. Furthermore, we introduce and investigate the metatheory of the class of first-order nonmonotonic inconsistency-tolerant construct over the extensional or quantitative comparisons of their respec- tive models. Core model-theoretic properties for these logics, such as the Löwenheim-Skolem theorems, along with other nonmonotonic properties, are further studied. (shrink)

Motivated by aspects of reasoning in theories of physics, Robin Giles defined a characterization of infinite valued Łukasiewicz logic in terms of a game that combines Lorenzen-style dialogue rules for logical connectives with a scheme for betting on results of dispersive experiments for evaluating atomic propositions. We analyze this game and provide conditions on payoff functions that allow us to extract many-valued truth functions from dialogue rules of a quite general form. Besides finite and infinite valued Łukasiewicz logics, (...) also Meyer and Slaney’s Abelian logic and Cancellative Hoop Logic turn out to be characterizable in this manner. (shrink)

The discipline of parallelization in the manifold of all possible measurement results is shown to be responsible for the existence of all quantum correlations, with the upper bound on their strength stemming from the maximum of possible torsion within all norm-composing parallelizable manifolds. A profound interplay is thus uncovered between the existence and strength of quantum correlations and the parallelizability of the spheres S^0, S^1, S^3, and S^7 necessitated by the four real division algebras. In particular, parallelization within a unit (...) 3-sphere is shown to be responsible for the existence of EPR and Hardy type correlations, whereas that within a unit 7-sphere is shown to be responsible for the existence of all GHZ type correlations. Moreover, parallelizability in general is shown to be equivalent to the completeness criterion of EPR, in addition to necessitating the locality condition of Bell. It is therefore shown to predetermine both the local outcomes as well as the quantum correlations among the remote outcomes, dictated by the infinite factorizability of points within the spheres S^3 and S^7. The twin illusions of quantum entanglement and non-locality are thus shown to stem from the topologically incomplete accountings of the measurement results. (shrink)

We show that a finite orthomodular poset with a strong section Δ of states (probability measures) is distributive if and only if Δ has the unique Jordan-Hahn decomposition property(UJHDP). That this result does not extend to infinite orthomodular posets is shown by the projection lattices of von Neumann algebras without direct summand of typeI 2, for which the set of completely additive states is strong and has theUJHDP. There also exist nondistributive σ-classes for which the set of countably additive (...) states has theUJHDP. (shrink)

The notion of absolute spirit, while undeniably central to Hegel’s philosophy, has been somewhat neglected in the literature. Two main lines of interpretation can be identified: a traditional metaphysical reading, according to which “absolute spirit” refers to an infinite spiritual substance, and a non-metaphysical reading, according to which it refers to activities in which human beings articulate their understanding of the principles that guide their communal life. Both types of reading are problematic exegetically as well as philosophically. This article (...) develops an epistemological reading instead. Accordingly, “absolute spirit” refers to a kind of knowledge, which is distinct from empirical and practical knowledge. Hegel conceives of art, religion, and philosophy as species of such knowledge. While this view might seem astonishing, it can be justified by showing that it is by recourse to paradigmatic instances of artistic, religious, and philosophical activity that the otherwise indefinable notion of truth is fixed. (shrink)

It is proved that any countable index, universally measurable subgroup of a Polish group is open. By consequence, any universally measurable homomorphism from a Polish group into the infinite symmetric group S ∞ is continuous. It is also shown that a universally measurable homomorphism from a Polish group into a second countable, locally compact group is necessarily continuous.

A poset is well‐partially ordered (WPO) if all its linear extensions are well orders; the supremum of ordered types of these linear extensions is the length, of p. We prove that if the vertex set X is infinite, of cardinality κ, and the ordering ⩽ is the intersection of finitely many well partial orderings of X,, then, letting, with, denote the euclidian division by κ (seen as an initial ordinal) of the length of each corresponding poset: where denotes the (...) least initial ordinal greater than the ordinal. This inequality is optimal. This result answers questions of Forster. (shrink)

Given a regular cardinal κ such that κ<κ=κ (e.g., if the generalized continuum hypothesis holds), we develop a proof system for classical infinitary logic that includes heterogeneous quantification (i.e., infinite alternating sequences of quantifiers) within the language Lκ+,κ, where there are conjunctions and disjunctions of at most κ many formulas and quantification (including the heterogeneous one) is applied to less than κ many variables. This type of quantification is interpreted in Set using the usual second-order formulation in terms of (...) strategies for games, and the axioms are based on a stronger variant of the axiom of determinacy for game semantics. With respect to this axiom system we prove the soundness and completeness theorem with respect to a class of set-valued structures that we call well determined. We also investigate intuitionistic systems with heterogeneous quantifiers for Lκ+,κ,κ (when only conjunctions of less than κ many formulas are allowed), and prove analogously a completeness theorem with respect to well-determined structures in categories in general, in κ-Grothendieck topoi in particular, and, when κ<κ=κ, also in Kripke models. Finally, we consider an extension of our system in which heterogeneous quantification with bounded quantifiers is expressible, and extend our completeness results to that case. (shrink)

We show that the quasi-order of continuous embeddability between finitely branching dendrites (a natural class of fairly simple compacta) is $\Sigma_1^1$ -complete. We also show that embeddability between countable linear orders with infinitely many colors is $\Sigma_1^1$ -complete.

An integral translation of Kant's 'Über Kästners Abhandlungen' (AA XX: 410-23). This translation is accompanied by an introductory essay on the importance of the Kästner treatise for an understanding of Kant's theory of space as infinite. See Onof & Schulting, "Kant, Kästner and the Distinction between Metaphysical and Geometrical Space".

Nagarjuna and Quantum physics. Eastern and Western Modes of Thought. Summary. The key terms. 1. Key term: ‘Emptiness’. The Indian philosopher Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing (...) can be found, that there is nothing, that nothing exists? Was Nagarjuna denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. Reality is without foundation. Or: Reality has the wide open space as foundation. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realised that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalisation. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalisation might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. -/-. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

This article is a critical assessment of Harry Frankfurt's hierarchical theory of freedom. It spells out and distinguishes several different and irreconcilable conceptions of freedom present in Frankfurt's work. I argue that Frankfurt is ambiguous in his early formulation as to what conception of freedom of the will the hierarchical theory builds on, an avoidability or a satisfaction conception. This ambiguity causes problems in his later attempts to respond to the objections of wantonness of second-order desires and of infinite (...) regress. With his more recent idea of freedom as being satisfied with harmony in one's entire volitional system, Frankfurt may solve the infinite regress objection but he does so at the cost of ending up with a description of freedom, which comes very close to being identical to his own description of the wanton. Frankfurt's account leaves open the question of whether the satisfactory harmony is caused by the inability to do otherwise, or is independent of it. To answer this question, Frankfurt's hierarchical theory needs to be complemented with a number of “autonomy variables” (Double). Satisfaction may be a necessary condition of freedom, but it is not sufficient. We also need to know how the person came to be satisfied. If being satisfied is merely something that happens to one, it fails to be an adequate description of a free person – and it also contradicts some of Frankfurt's own earlier insights. (shrink)

There has been much discussion on the two-envelope paradox. Clark and Shackel (2000) have proposed a solution to the paradox, which has been refuted by Meacham and Weisberg (2003). Surprisingly, however, the literature still contains no axiomatic justification for the claim that one should be indifferent between the two envelopes before opening one of them. According to Meacham and Weisberg, "decision theory does not rank swapping against sticking [before opening any envelope]" (p. 686). To fill this gap in the literature, (...) we present a simple axiomatic justification for indifference, avoiding any expectation reasoning, which is often considered problematic in infinite cases. Although the two-envelope paradox assumes an expectation-maximizing agent, we show that analogous paradoxes arise for agents using different decision principles such as maximin and maximax, and that our justification for indifference before opening applies here too. (shrink)

Georg Cantor, the founder of set theory, cared much about a philosophical foundation for his theory of infinite numbers. To that end, he studied intensively the works of Baruch de Spinoza. In the paper, we survey the influence of Spinozean thoughts onto Cantor’s; we discuss Spinoza’s philosophy of infinity, as it is contained in his Ethics; and we attempt to draw a parallel between Spinoza’s and Cantor’s ontologies. Our conclusion is that the study of Spinoza provides deepening insights into (...) Cantor’s philosophical theory, whilst Cantor can not be called a ‘Spinozist’ in any stricter sense of that word.Keywords: Georg Cantor; Baruch de Spinoza; Infinity in philosophy and mathematics; Transfinite numbers; Set theory; Infinity and pantheism. (shrink)

We characterize science in terms of nihilism: the nihilism of science is something faced not in what science i mplies, but as the very essence of science as such. The nihilism of science is the birth of the truth of Nietzsche's announcement "God is dead" from within science as it must now face its repressed subjective core. But in truth, as the Psychoanalytic tradition has determined, it is subjectivity itself that is a bottomless searching-the subject is itself born from nothing. (...) In this way it becomes clear that the nihilism of science is in fact the birth of a nothingness as the essence of science insofar as it embraces the nothingness of its own subjectivity. Therefore, we show that the proper determination of the crisis of science is not made via phenomenology, as Husserl attempted in the early 20th century, but can only be made properly in a philosophical-psychoanalytic register. This nihilism is encoded within science in its very modality of thought , as Heidegger well understood: science thinks by means of "representation", and it is this "representational thinking" which prevents the expression of the repressed core of subjectivity. Therefore, by overcoming representation, it is seen that science will no longer be in despair to determine itself as a self, but come to see that this self, grounded in nothingness, in fact becomes its greatest and final expression, that is, as a self rooted not in an unending yearning for the transcendent certainty of a ground, but in a productive desire -self as will-to-create, will-to-power . This transition from the self as rooted in Desire qua lack to a self as determined by an infinitely productive desire is shown to be, in fact, the transition from Lacan to Deleuze. Once this transition is accomplished, it becomes clear that the anti-representational mode of thinking, accompanied by the productive self as will-to-power, determines science not from a transcendent metaphysic , but as an aesthetically determined modality of pure creativity-i.e., as an art . We then conclude by speculating on the proper form of art that this new science should take. We see that anti-representational thinking, rooted in the self as infinite creativity , is determined not by concepts, but by play or performances . Perhaps, then, we should consider music as determining the proper artistic form of this new kind of science? In this way we finally come to see the possibility for the first time of music as a new kind of science. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}. (shrink)

Maybe God isn't who you think He is. Maybe He's much better. Pastor and speaker Shane Pruitt guides readers in identifying the Christian cliches we've all heard that are actually unbiblical lies. He then counters with the truths about God as presented in the Bible, truths that bring encouragement and freedom for our lives. God won't give you more than you can handle. Really? Pastor and speaker Shane Pruitt shines a light on this and other Christian cliches that upon further (...) inspection are actually unbiblical lies that keep far too many believers stuck in spiritual immaturity. (shrink)

Au cours de la première moitié du XIIIe siècle commence à progresser le concept de l'infinité divine dans la théologie chrétienne, une évolution illustrée par des documents originaux.

Infinite Hope, rich with inspirational true stories and breathtaking artwork, will bless you with the kind of hope that never fades and always brightens the darkest paths of life. This is no ordinary hope, but instead a life-transforming hope. It is a hope that will fill you with confidence and inspire you to find peace with yourself and your circumstances. Stories and insights about suffering and the goodness of God, along with illustrations from Joni Eareckson Tada and Jill DeHaan, (...) will give you a richer, deeper love for Christ, the Blessed Hope."--Provided by publisher. (shrink)

The article approaches the phenomenon of love from a theoretical perspective in which the interconnectedness of religions is constitutive of every religion, including Christianity, in its relative singularity. It explores a historical context in which Christianity with its unique message of love does not stand alone among the religions of the world, and a theoretical context that could account for that historical context, without abandoning or diluting the Christian vision, but enriching it, adding depth to the notion ‘ (...) class='Hi'>Christianity’ in its most essential sense. The argument is developed by first introducing seven religious perspectives on love. This is followed by metaphysical-mystical reflections in which the concept ‘Infinitude’ features. The argument proceeds concentrically outwards, starting from Christianity as centre, seen as one magnificent dewdrop reflecting an infinite net of interdependence. (shrink)

Li Zhen priest has repeatedly tried to clarify there are two basic problems of philosophy, there is one problem with the nothingness, there is one root of the problem. For the first problem, he believes there is the meaning of life is based on earnings instead of the full emptiness. For the second question, he thinks there is a God of the root. Li Zhen priest in one deeply experienced man's limited nature, on the other hand they found that the (...) driving force towards infinity. Although the constitution were limited, however, its intention to infinity. The meaning of human life are the cornerstone upon which to build, is built up from within, however, can not be limited to their own self-sealing inner nature, on the contrary, the primordial human tendency is inherent and can go beyond that, that is limited and can be infinite . Li Zhen is that there exists a final basis the full surplus. This will be for the Christian religion in the "no" to explore the concept of active surface, as well as Buddhist talks about "empty" comparisons, as Li Zhen of the basic study with and without supplement. "Beyond" and "there" are supported by ethics, the ethics of generosity and love. Go beyond him in person, he is certainly not only those, but also those who are not asking for anything good for his efforts. Li Zhen advocate and practice is an ethics of love and generosity. (shrink)

The book provides the first analysis of Karl Christian Friedrich Krause_s system of philosophy and his panentheism in English. Karl Christian Friedrich Krause has bequeathed to us a system of philosophy which is little recognised in contemporary philosophy. This is both surprising and unfortunate, because Krause_s philosophical system has much to offer: Through transcendental reflection on the nature of the human, Krause understands God as the one infinite and unconditioned reality, and the ultimate necessary condition of knowledge. God makes (...) humanity, nature, and reason ultimately comprehensible as the essential categories of the divine Essence. God is thus the single, primary, object of science that is already logically presupposed even before His discovery. Science presupposes theology, and theology is best read as panentheism. (shrink)

Does the idea of human enhancement presuppose a goal or an ideal to direct technological modifications? In the absence of such an agreed ideal in today’s culture, can Christian theology help clarify the goal or the meaning of “perfection” when applied to human beings? A theological perspective rooted in scripture and in the writings of theologians such as Irenaeus, Athanasius, and Gregory of Nyssa suggests that theology instead of offering its own definition of the human ideal, theology rejects the possibility (...) of any defined human goal. An analysis of the biblical word teleios (“mature” or “perfect”), along with Gregory’s view of infinite ascent, leads to the conclusion that the human goal is found in relationship to the triune God and not in any anthropologically-definable status. (shrink)

This paper deals with beauty as we encounter it in Christian works of art. Three main points are argued: i) Beauty, as it appears in the Christian work of art, is an invitation to delight and gratitude; ii) Beauty, as we encounter it in the Christian work of art, asks of us both the deepening of discernment and the cultivation of desire; iii) Beauty, as it is manifested in the Christian work of art, is not created by the artist but (...) is bestowed as a gift of God. Firstly, beauty must be recognised as giving delight. In defending this claim, the paper argues against theories which identify beauty with pleasure, and which devalue or dismiss beauty based on this false identification. Further, beauty does not only give, but also – as gift – makes a claim upon us. Gratitude is the appropriate response to beauty’s gift. Secondly, beauty as manifested in beautiful particulars embedded in the material and cultural world requires discernment. Moreover, we must embody a real receptiveness to beauty – by becoming beautiful ourselves – through the cultivation of desire. A full response to beauty entails the reorientation of our vision as well as our volition towards the infinite beauty of God. Thirdly, though beauty is manifestly present in made-made objects, it does so and is so as a gift of God. This understanding is supported by emphasising the Trinitarian nature of beauty. It is proposed that beauty is best identified not with the Son but with the Holy Spirit. (shrink)

Some time ago I wrote a paper about conceivability and knowledge. An anonymous referee rejected it on the grounds that the result had already been established in a short story by Jorge Luis Borges. Intrigued, I looked for the story but found no mention of it in Louis and Ziche’s extensive bibliography. I spent months consulting archives and electronic records to no avail. I had begun to doubt whether the story even existed when I had the curious good luck to (...) encounter Sir Thomas Browne of Pembroke College, Oxford, who assured me of the piece’s authenticity and introduced me to Brother Christian Rosenkreuz of Invisible College who in turn generously put me into correspondence with Borges himself. The literary defects in what follows reflect not a diminution of Borges’s undoubted power as a storyteller, but merely my limited ability as an amateur translator. Whatever the translation’s literary faults may be, I hope the story’s philosophical interest—i.e., an argument that ideal conceivers have higher-order knowledge of necessary truths—remains. [Trans.]. (shrink)

In the first part of the paper, I argue that Christians should incorporate the theory of reincarnation into their belief system. The problem of the apparent disproportion between finite human sin and infinite punishment in Hell becomes far more tractable against the background of reincarnation. In the second part of the paper, I address and answer three objections that may be raised against a Christian theory of reincarnation. The first objection is based on the role of memory in identity, (...) the second points to the essential unity of body and soul, and the third revolves around the suggestion that living multiple lives may more easily lead to damnation than to salvation. (shrink)

The logical treatment of the nature of religious belief (here I will concentrate on belief in Christianity) has been distorted by the acceptance of a false dilemma. On the one hand, many (e.g., Braithwaite, Hare) have placed the significance of religious belief entirely outside the realm of intellectual cognition. According to this view, religious statements do not express factual propositions: they are not made true or false by the ways things are. Religious belief consists in a certain attitude toward (...) the world, life, or other human beings, or in what sorts of things one values. On the other hand, others (such as Swinburne, 1981, Chapers 1 and 4) have taken religious belief to include (at least) being certain of the truth of particular factual religious propositions. The strength of a person's religious belief is identified with his degree of confidence in the truth of those propositions, measured by the "subjective probability" which those propositions have for that person. I propose a third alternative, according to which, (1) contrary to the first view, religious belief does involve a relation to factual religious propositions, such as that God exists, that Jesus was God and man, etc., -- propositions which are made true or false by the way things actually are -- but, (2) contrary to the second view, the strength of religious belief is measured, not by the degree of one's confidence1 in the truth of these propositions, but rather by the way in which the value or desirability to oneself of the various ways the world could be is affected by their including or not including the truth of these religious propositions. Thus, religious belief does consist in what one values or prizes, not in what.. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Christian Ethics and Commonsense Morality: An Intuitionist Account by Kevin JungAleksandar S. SantracChristian Ethics and Commonsense Morality: An Intuitionist Account Kevin Jung NEW YORK AND LONDON: ROUTLEDGE, 2014. 202 PP. $145.00In Christian Ethics and Commonsense Morality: An Intuitionist Account, Kevin Jung boldly constructs and defends a commonsense morality of intuition as a plausible ethical theory against both postmodern constructivist ethical systems and narrow objectivist theories. Following the antifoundationalist (...) ethical methods of postmodern approaches to reality and morality in chapter 1 and a moderate defense of realism in chapter 2, Jung attempts to save both objectivity and de-feasibility of moral realistic accounts, offering some modern reinterpretations of moral realism in chapters 3 and 4. All these forms of Wittgensteinian conceptions of realism unsatisfactorily lead to infinite regress in justifying claims because they are grounded only in the wishes, interests, and sentiments of the individual culture and society (60).After a brief introduction to the unique role of emotions in ethical theories, his investigation leads to reconciliation between objectivist naturalistic ethics [End Page 192] and theological forms of ethical theories. Theological ethicists can remain committed to intuitionism (objectivist and naturalistic forms of common morality) refined by particular religious expressions of morality (112). Intuitionism, broadly defined in chapter 7, is described as "initial appearances" (118); moral truths, according to Jung's intuitionist account, are "mediately self-evident" (128), not "immediately," because it still requires careful reflection and cognitive searching for objectivist grounds of morality. Jung's affirmation of the plausibility of intuitionism seems to be a final blow to all forms of postmodern and skeptical accounts of antifoundationalist forms of ethical theories; he successfully defends an intuitionist account of morality against its naturalist and religious critics.The last chapter offers three types of relationship between commonsense morality and Christian morality. The identity model reduces Christian morality to commonsense morality. The two-tier model considers Christian morality to be a superior form of morality with instrumental value of commonsense morality. And, finally, integration, Jung's favorite model, considers commonsense morality as neither identical nor subordinate but central to Christian morality (163). With this he affirms that Christian morality is unique not because of differences in moral beliefs but because "it is fully committed to recognizing the oneness of humanity and the universally accessible nature of basic moral truths for all human beings" (166). Jung's reflection is exceptionally insightful. Building the case as a good lawyer, he leads us to the defenseless nature of constructivist postmodern moral theories and their revisions as well as to a commitment of Christian morality to the objective commonsense morality. On this view, even heroic moral acts based on obedience to God (such as Christian sacrificial love) might be compatible with commonsense morality. It is surprising, however, that Jung never consulted or quoted Bernard Gert's account of the common morality, especially when discussing differences between moral duty and ideals (167). Additionally, Jung's argument that Christian morality is unexceptional since moral knowledge can be obtained through multiple sources in which God also reveals his will (178) does not sufficiently probe into the distinctiveness of God's sometimes radical demands of Jews/Christians (e.g., Abraham's sacrifice of Isaac), which come not from intuitionist accounts of objective natural reason or common sense but from faith. Christian saints are not heroes of general moral example but heroes of faith, a qualitatively different realm of human experience. Still, audiences interested in all aspects of ethics will greatly benefit from this superb engagement with recent discussions. [End Page 193]Aleksandar S. SantracWashington Adventist UniversityCopyright © 2017 Society of Christian Ethics... (shrink)