Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian (...) “infinite book copies” objection, and that this provides an interesting way to defuse some cosmological arguments for the existence of God and to give a non-theistic but complete explanation of the Universe. In the course of my argumentation, I also show that circular explanations can be “self-explanatory” as well: explaining two items by each other can explain the couple of items tout court. (shrink)

This paper compares and contrasts two infinite regress arguments against higher-order theories of consciousness that were put forward by the Buddhist epistemologists Dignāga (ca. 480–540 CE) and Dharmakīrti (ca. 600–660). The two arguments differ considerably from each other, and they also differ from the infinite regress argument that scholars usually attribute to Dignāga or his followers. The analysis shows that the two philosophers, in these arguments, work with different assumptions for why an object-cognition must be cognised: for Dignāga (...) it must be cognised in order to enable subsequent memory of it, for Dharmakīrti it must be cognised if it is to cognise an object. (shrink)

In PV 3.440ab and 473cd–474ab, Dharmakīrti raises the argument of infinite regress twice. The argument originates from the same argument stated by Dignāga in his Pramāṇasamuccaya 1.12ab1, in which the fault of infinite regress is called aniṣṭhā. In Pramāṇasamuccayavṛtti 1.12b2, Dignāga presents another type of argument of infinite regress driven by memory, which is elucidated by Dharmakīrtian commentators. The arguments were criticized by Kumārila Bhaṭṭa and Bhaṭṭa Jayanta and even more intensively so by two modern scholars, Jonardon (...) Ganeri and Birgit Kellner. In this paper, I first examine the source of the arguments—Pramāṇasamuccayavṛtti 1.12 and its translation, based on which I provide my interpretation of the two models of arguments of infinite regress. I then offer my response, according to Dharmakīrti and his commentators, to Ganeri’s and Kellner’s critiques. By doing so, I attempt to identify the essence of these arguments is and find out to what extent one can defend the infinite regress argument in Dignāga’s and Dharmakīrti’s theory. (shrink)

Infinite Awareness pairs Woollacott’s research as a neuroscientist with her self-revelations about the her mind’s spiritual power. Between the scientific and spiritual worlds, she breaks open the definition of human consciousness to investigate the existence of a non-physical mind.

RésuméBien que Hegel soit parfaitement conscient du fait que l'activité de penser nepuisse devenir ce qu'elle est que dans etpar le langage, on peut dire qu'ila préservé une distinction hiérarchisée entre la pensée et le langage dans lequel elle s'exprime. Dans le but de clarifier ce qu'il veut dire exactement lorsqu'il distingue entre, d'un côté, la totalité des concepts purs et, de l'autre, le langage, la première partie du présent article—qui en est aussi la plus longue—fournit une interprétation deplusieurs textes (...) de Hegel sur le rapport entre la pensée pure et le langage, et montre pourquoi la conception qu'il se fait de cette relation est plus difficile à critiquer qu'on ne l'a souvent cru. L'article part de la conception hégélienne du concept absolu et, après avoir briévement esquissé la relation entre la Logique et la philosophic de la nature et de l'esprit, examine divers passages sur le langage, tirés, entre autres, des leçons sur la philosophic de l'histoire mondiale. La deuxième partie de l'article propose—dans une veine heideggérienne—une perspective à partir de laquelle une déconstruction des présupposés de base de cette conception pourrait avoir quelque chance de succès. (shrink)

We analyze the rather unusual properties of some exact solutions in 2D dilaton gravity for which infinite quantum stresses on the Killing horizon can be compatible with regularity of the geometry. In particular, the Boulware state can support a regular horizon. We show that such solutions are contained in some well-known exactly solvable models (for example, RST). Formally, they appear to account for an additional coefficient B in the solutions (for the same Lagrangian which contains also “traditional” solutions) that (...) gives rise to the deviation of temperature T from its Hawking value T H . The Lorentzian geometry, which is a self-consistent solution of the semiclassical field equations, in such models, is smooth even at B≠0 and there is no need to put B=0 (T=T H ) to smooth it out. We show how the presence of B≠0 affects the structure of spacetime. In contrast to “usual” black holes, full fledged thermodynamic interpretation, including definite value of entropy, can be ascribed (for a rather wide class of models) to extremal horizons, not to nonextreme ones. We find also new exact solutions for “usual” black holes (with T=T H ). The properties under discussion arise in the weak-coupling regime of the effective constant of dilaton-gravity interaction. Extension of features, traced in 2D models, to 4D dilaton gravity leads, for some special models, to exceptional nonextreme black holes having no own thermal properties. (shrink)

In this article I examine Jean-Luc Marion's two-fold criticism of Emmanuel Levinas’ philosophy of other and self, namely that Levinas remains unable to overcome ontological difference in Totality and Infinity and does so successfully only with the notion of the appeal in Otherwise than Being and that his account of alterity is ambiguous in failing to distinguish clearly between human and divine other. I outline Levinas’ response to this criticism and then critically examine Marion's own account of subjectivity that (...) attempts to go beyond Levinas in its emphasis on a pure or anonymous appeal. I criticize this move as rather problematic and turn instead back to Levinas for a more convincing account of the relations between self, human other, and God. In this context, I also show that Levinas in fact draws quite careful distinctions between human and divine others. (shrink)

If there is one question that has perplexed the best minds in every society, it is how to raise the individuals from their present state to a higher state of existence and perfection? The answers have been tried using different formulations in history: religious, scientific and political. The common factor in all these historical formulations was that they were designed in opposition to each other and therefore left many things unaccounted. The aim of this paper is to explore the idea (...) of self-perfection as a continuous streak of infinite vertical ascension. The paper has elaborated the idea of ‘Verticality’, propounded by Peter Sloterdijk for looking in to the domains of self-perfection and the stages of vertical ascension. For our purpose, we have relied on the example of discipline of Management that has progressively theorized about different aspects and stages of existence. (shrink)

In his latest book Christopher Bollas uses detailed studies of real clinical practice to illuminate a theory of psychoanalysis which privileges the human impulse to question. From earliest childhood to the end of our lives, we are driven by this impulse in its varying forms, and _The Infinite Question_ illustrates how Freud's free associative method provides both patient and analyst with answers and, in turn, with an ongoing interplay of further questions. At the book's core are transcripts of real (...) analytical sessions, accompanied by parallel commentaries which highlight key aspects of the free associative method in practice. These transcripts are contextualised by further discussion of the cases themselves, as well as a wider theoretical framework which places its emphasis on Freud's theory of the logic of sequence: by learning to listen to this free associative logic, Bollas argues, we can discover a richer and more complex unconscious voice than if we rely solely on Freud's theory of repressed ideas. Bollas demonstrates, in an eloquent and persuasive manner, how the Freudian position of evenly suspended attentiveness enables the analyst's unconscious to catch the drift of the patient's own unconscious. He also shows that to stimulate further questioning is often of more benefit to the analytical process than to jump to an interpretation. Yet whatever fascinating course a session may take, neither the patient nor the analyst can halt the progress of the self-propelling interrogative drive. _The Infinite Question_ will be invaluable to both the new student and the experienced psychoanalyst, read either on its own or as a practice-based extension of the theoretical ideas elaborated in its companion volume, _The Evocative Object World_. (shrink)

This essay aims to show that the fourfold division theory of consciousness in the Cheng Weishi Lun 成唯識論 is the third way between phenomenology and the higher-order theories of consciousness. Regarding the problem of infinite regress, in particular, this theory represents an alternative between the reflexive model and the reflective model of self-consciousness. The main purpose of this essay is not to prove or to argue for the theory, but to clearly present its structure and the systematic or (...) Abhidharmic way of thinking that leads to the notion of awareness of self-awareness and provides a way out of the problem of infinite regress. It also points out some pertinent issues that need to be further addressed or explored, such as simultaneous causation, begging the question, reconciling the antireflexivity principle with the lamp simile for self-awareness, and aboutness. (shrink)

Based on a recently published essay by Jeremy Gwiazda, I argue that the possibility that the present state of the universe is the product of an actually infinite series of causally-ordered prior events is impossible in principle, and thus that a major criticism of the Secunda Via of St. Thomas is baseless after all.

Any convincing theory of self-awareness must do the following: (a) avoid what Henry terms “ontological monism” (OM), the belief that there is only one kind of awareness, namely, object-awareness; for as long as we stick to OM, we remain wedded to the reflection theory of self-awareness and its well-known difficulties (the infinite regress being the worst). And, (b) account for the concrete personal facts about self-awareness: familiarity, unity, identity, etc. First, I go through the tradition, starting (...) with Descartes, of accounts of self-awareness which fail to satisfy constraint (a). Second, I discuss the standard solution to the problem of self-awareness found in Sartre’s pre-reflective self. I argue that Sartre’s pre-reflective self contains a residue of the bias of “ontological monism,” therefore satisfying neither (a) nor (b). Third, I suggest an alternative in Kant’s transcendental subject, which possesses self-awareness independently of a cognitive attitude in the traditional sense of object-intentionality, and thereby intimates the beginnings of a phenomenology of the invisible. (shrink)

The axiom of infinity states that infinite sets exist. I will argue that this axiom lacks justification. I start by showing that the axiom is not self-evident, so it needs separate justification. Following Maddy’s :481–511, 1988) distinction, I argue that the axiom of infinity lacks both intrinsic and extrinsic justification. Crucial to my project is Skolem’s From Frege to Gödel: a source book in mathematical logic, 1879–1931, Cambridge, Harvard University Press, pp. 290–301, 1922) distinction between a theory of (...) real sets, and a theory of objects that theory calls “sets”. While Dedekind’s argument fails, his approach was correct: the axiom of infinity needs a justification it currently lacks. This epistemic situation is at variance with everyday mathematical practice. A dilemma ensues: should we relax epistemic standards or insist, in a skeptical vein, that a foundational problem has been ignored? (shrink)

As an application of his Material Theory of Induction, Norton (2018; manuscript) argues that the correct inductive logic for a fair infinite lottery, and also for evaluating eternal inflation multiverse models, is radically different from standard probability theory. This is due to a requirement of label independence. It follows, Norton argues, that finite additivity fails, and any two sets of outcomes with the same cardinality and co-cardinality have the same chance. This makes the logic useless for evaluating multiverse models (...) based on self-locating chances, so Norton claims that we should despair of such attempts. However, his negative results depend on a certain reification of chance, consisting in the treatment of inductive support as the value of a function, a value not itself affected by relabeling. Here we define a purely comparative infinite lottery logic, where there are no primitive chances but only a relation of ‘at most as likely’ and its derivatives. This logic satisfies both label independence and a comparative version of additivity as well as several other desirable properties, and it draws finer distinctions between events than Norton's. Consequently, it yields better advice about choosing between sets of lottery tickets than Norton's, but it does not appear to be any more helpful for evaluating multiverse models. Hence, the limitations of Norton's logic are not entirely due to the failure of additivity, nor to the fact that all infinite, co-infinite sets of outcomes have the same chance, but to a more fundamental problem: We have no well-motivated way of comparing disjoint countably infinite sets. (shrink)

An original and insightful account of nature and our place in it from one of France’s preeminent historians of philosophy. One of France’s preeminent historians of philosophy, Marcel Conche has written and translated more than thirty-five books and is recognized for his groundbreaking and authoritative work in Greek philosophy, as well as on Montaigne. In Philosophizing ad Infinitum, one of his most remarkable and daring books, Conche articulates a unique and powerful understanding of nature, inclusive of humanity, as infinite (...) in time and space—ever self-renewing, eternal, and beyond complete understanding or control. In today’s world the notion of infinity is at the core of the crisis humanity faces understanding nature. For the last two hundred years economies have been running at full speed, fueled by the implicit belief that natural resources are infinite; however, it is clear that they are not and that humanity needs to radically rethink the foundations of environmental and economic systems. Conche seeks to begin this rethinking, illustrating along the way insightful and sometimes unorthodox ideas about Plato, Aristotle, Epicurus, Montaigne, Nietzsche, Bergson, and others. “Philosophizing ad Infinitum: this book paints a perfect picture of the life of Marcel Conche, a natural-born philosopher. His aptitude to question absolutely everything drove him to the pre-Socratics, even at an early age, in his relentless quest for the truth. With Montaigne, the thinker to whom he feels most akin, Marcel Conche stands tall as an exceptional figure in contemporary French philosophy, renewing and enriching a great philosophical tradition.” — Françoise Dastur, University of Nice Sophia Antipolis. (shrink)

Plato believes in the existence of Forms—eternal models or exemplars of which objects in our world in time and space are copies, and his Theory of Forms lies at the center of his philosophy. But according to the common wisdom, Plato raised the Third Man objection against his own Theory of Forms in the Parmenides. According to this objection, each Form is supposed to have the very characteristic it is supposed to be , and this leads to an infinite (...) regress of each Form . This book defends the view that a mysterious plural phrase at Phaedo 74 shows that the Self-Predication Assumption is both plausible and leads to no infinite regress of Forms. The Self-Predication Assumption in Plato is an essential resource for scholars, specialists, and students with an interest in ancient philosophy and classics. (shrink)

This article argues that Richard Rorty’s philosophy has a blind spot regarding our relationship with nature. It examines his distinct version of pragmatism to find ways to address this shortcoming. Rorty’s antirepresentational “pragmatism as anti-authoritarianism” and its anthropocentric character are discussed. His linguistic instrumentalism is problematized since it entails an unapologetic Baconian view of knowledge as power and nature as a manipulable object. While Rorty’s Darwinian image of the human being somewhat relativizes this Baconian humanism, it does not address the (...) dependence of the human species on its natural environment. According to the romantic dimension in Rorty, the human being is rather exalted, and the imperative of infinite self-creation ignores natural limits. However, there are valuable resources in Rorty’s philosophy that can limit this imperative and his instrumentalism. For instance, Rorty’s anti-authoritarianism reminds us of the moral responsibility of choice about (our) nature. Furthermore, his inclusivist ethic of solidarity implies the potential extension beyond the human species. Lastly, his notion of philosophy as cultural politics could foster democratic discussion on the pressing issues of technological advance. (shrink)

The fruit of several centuries of rationalistic thought in the West has been to reduce both the objective and the subjective poles of knowledge to a single level. In the same way that the Cogito of Descartes is based on reducing the knowing subject to a single mode of awareness, the external world which this ‘knowing self’ perceives is reduced to a spatio-temporal complex limited to a single level of reality – no matter how far this complex is extended (...) beyond the galaxies or into aeons of time, past and future. The traditional view as expressed in the metaphysical teachings of both the Eastern and Western traditions is based, on the contrary, upon a hierarchic vision of reality, not only of reality's objective aspect but also of its subjective one. Not only are there many levels of reality or existence stretching from the material plane to Absolute and Infinite Reality, but there are also many levels of subjective reality or consciousness, many envelopes of the self, leading to the Ultimate Self which is Infinite and Eternal and which is none other than the Transcendent Reality beyond. Moreover, the relation between the subjective and the objective is not bound to a single mode. There is not just one form of perception or awareness. There are modes and degrees of awareness leading from the so-called ‘normal’ perception by man of both his own ‘ego’ and the external world to awareness of Ultimate Selfhood, in which the subject and object of knowledge become unified in a single reality beyond all separation and distinction. (shrink)

Oneness Revealed: When the Self Becomes the All invites readers on a transformative journey through the intricate tapestry of existence, where the boundaries of self dissolve into the universal whole. This profound exploration delves into the philosophical depths of oneness, examining how the individual self connects to a greater reality that transcends the limitations of duality and separation. -/- In a world often characterized by fragmentation and division, this book serves as a beacon, guiding seekers toward a (...) deeper understanding of their true nature. Drawing from ancient wisdom traditions, modern philosophy, and contemporary insights, Oneness Revealed illuminates the interconnectedness of all beings and the fundamental unity that underlies the diversity of existence. -/- Through a blend of philosophical inquiry and spiritual reflection, the text challenges readers to transcend conventional notions of identity and ego, urging them to recognize their inherent connection to the cosmos. The concept of the self as both unique and a manifestation of the universal consciousness is explored, offering a holistic perspective that integrates mind, body, and spirit. -/- This book also addresses the implications of oneness for personal growth and societal harmony, positing that understanding our interconnectedness can lead to greater compassion, empathy, and collective well-being. Each chapter unfolds layers of meaning, weaving together stories, reflections, and insights that inspire readers to awaken to their own potential for unity. -/- Oneness Revealed is not just a philosophical treatise; it is a call to action for anyone seeking to deepen their understanding of themselves and their place in the universe. By the end of this journey, readers will be invited to embrace the truth that when the self becomes the all, life unfolds in a symphony of harmony, love, and infinite possibility. (shrink)

What is the relationship between knowledge and ethics? Does what we know and the reason that secures knowledge determine ethical responsibility, or might ethical responsibility itself awaken and animate the enterprise of knowing? The dissertation affirms the priority of ethics by juxtaposing two accounts of the relationship between truth and goodness. It critiques Hegel's systematic conception of absolute knowing by showing that this knowing elides the anarchical ethical demand arising from the other person. Hegel's dialectic reconciles the problem of the (...) relation with the other by transposing it to the plane of cognition where it becomes spirit's self-knowing. However, Emmanuel Levinas's phenomenological reduction of the structures of knowing exposes an ethical level of experience that both inspires and interrupts this adventure of knowing. ;After the introduction of this problematic, Chapter 1 examines the challenge that Levinas poses to Hegel, discovering in experience and subjectivity a ground where real dialogue can take place. Chapter 2 traces the reconception of subjectivity by which Hegel brings all exteriority within the experience of self-consciousness and compares this with Levinas's notion of "lived experience." In Chapter 3, I show how Levinas's account of sensibility and enjoyment resists incorporation into Hegel's notion of self-consciousness. Chapter 4 examines the encounter with the other person and explicates why Hegel's and Levinas's accounts cannot be reconciled or made to complement one another, for the non-allergic responsibility incurred in the face to face relation is inassimilable to the antagonism of the same and the other experienced as self-consciousness. Then, in Chapter 5, I trace Hegel's pursuit of a more authentic recognition of otherness through the development of the concept of spirit, paying special attention to the role of language. The ultimate accomplishment of spiritual recognition in Hegel's account is again challenged by Levinas's notion of responsibility, which signifies as an ethical "saying" apart from the "said." Finally, I contest the absoluteness of knowing without denying the dialectic that animates it by suggesting that philosophy can be maintained as a human enterprise, a pursuit of knowing that is ever subject to and interrupted by the face of the other. (shrink)

It is commonly assumed that Aristotle denies any real existence to infinity. Nothing is actually infinite. If, in order to resolve Zeno’s paradoxes, Aristotle must talk of infinity, it is only in the sense of a potentiality that can never be actualized. Aristotle’s solution has been both praised for its subtlety and blamed for entailing a limitation of mathematic. His understanding of the infinite as simply indefinite (the “bad infinite” that fails to reach its accomplishment), his conception (...) of the cosmos and even its prime mover as finite (in the sense of autarchic/self-contained) have been contrasted with the subsequent claim of God as ens infinitum (understood as a “positive” infinity). The goal of this essay is to reexamine the major texts (notably De caelo) and to demonstrate that (1) Aristotle’s claim according to which there is no actual infinite concerns only substances, not processes. (2) That Aristotle does not deny an actual infinite as such. (3) That when considering time and God (qua eternal) Aristotle acknowledges an actual infinite. (shrink)

This monograph offers new insights into the connection between self-consciousness and emotion. It focuses on what fundamental “feelings of being” tell us about ourselves. The results enrich the philosophy of human affectivity and help shed new light on some pressing, current problems. The author seeks to understand self-consciousness as an affective phenomenon, namely as self-feeling. He identifies it as a pre-reflective, pre-propositional, bodily feeling that shapes our space of possibilities. It is the affective disclosure of individual existence. (...) His account overcomes the difficulties of infinite regress and vicious circularity that reflective accounts of self-consciousness struggle with. At the same time, it helps build a bridge between the basic level of self-consciousness and the higher level of more substantial thoughts about oneself. The title explores fundamental affectivity, Matthew Ratcliffe’s theory of existential feelings, features of self-feeling, and appropriateness and inappropriateness in self-interpretation. It also considers the contributions of the Heidelberg School of self-consciousness to current debates. The title provides students and researchers with a unique look into such vital philosophical questions as: What is self-consciousness? How do we know ourselves? It will also appeal to a wider audience interested in self-consciousness and/or human affectivity since it does not presuppose knowledge of the jargon. (shrink)

[Winner of the 2017 AILACT Essay Prize Prize.] I argue against the skeptical epistemological view exemplified by the Groarkes that “all theories of informal argument must face the regress problem.” It is true that in our theoretical representations of reasoning, infinite regresses of self-justification regularly and inadvertently arise with respect to each of the RSA criteria for argument cogency (the premises are to be relevant, sufficient, and acceptable). But they arise needlessly, by confusing an RSA criterion with argument (...) content, usually premise material. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume XX, Number 2, November 1994, pp. 219-240 Infinite Divisibility in Hume's First Enquiry DALE JACQUETTE The Limitations of Reason The arguments against infinite divisibility in the notes to Sections 124 and 125 of David Hume's Enquiry Concerning Human Understanding are presented as "sceptical" results about the limitations of reason. The metaphysics of infinite divisibility is introduced merely as a particular, though especially representative (...) problem, among several that Hume discusses. Hume first writes: The chief objection against all abstract reasonings is derived from the ideas of space and time; ideas, which, in common life and to a careless view, are very clear and intelligible, but when they pass through the scrutiny of the profound sciences (and they are the chief object of these sciences) afford principles, which seem full of absurdity and contradiction.1 There follows an intuitive appeal to the apparent incoherence of the consequences of infinite divisibility in the geometry of space and measurement of time. Hume enlists natural belief against the infinite divisibility thesis in the mathematics of extension: But what renders the matter more extraordinary, is, that these seemingly absurd opinions are supported by a chain of reasoning, the Dale Jacquette is at the Department of Philosophy, The Pennsylvania State University, 246 Sparks Building, University Park PA 16802 USA. e-mail: [email protected] 220 Dale Jacquette clearest and most natural; nor is it possible for us to allow the premises without admitting the consequences. Nothing can be more convincing and satisfactory than all the conclusions concerning the properties of circles and triangles; and yet, when these are once received, how can we deny, that the angle of contact between a circle and its tangent is infinitely less than any rectilinear angle, that as you may increase the diameter of the circle in infinitum, this angle of contact becomes still less, even in infinitum, and that the angle of contact between other curves and their tangents may be infinitely less than those between any circle and its tangent, and so on, in infinitum? The demonstration of these principles seems as unexceptionable as that which proves the three angles of a triangle to be equal to two right ones, though the latter opinion be natural and easy, and the former big with contradiction and absurdity. (EHU 156-157) The implied sense of contradiction is then extended by Hume to the problem of infinite divisibility in time. The absurdity of these bold determinations of the abstract sciences seems to become, if possible, still more palpable with regard to time than extension. An infinite number of real parts of time, passing in succession, and exhausted one after another, appears so evident a contradiction, that no man, one should think, whose judgment is not corrupted, instead of being improved, by the sciences, would ever be able to admit of it. (EHU 157) The contradictions involved in traditional concepts of extension and time demarcate the limits of which reason is capable. But Hume's answer is more complex than merely surrendering to skepticism over the prospects of reason achieving understanding in the metaphysics of space and time. He tries to show that what he calls "Pyrrhonian" skepticism is ultimately self-defeating in its application of reason against reason. In place of a negative conclusion, he offers another solution to the paradoxes of infinite divisibility. What is remarkable about Hume's pronouncements against the infinite divisibility of extension and time, that may signal a change in his methodology if not his overall position on divisibility in the Enquiry from that of A Treatise of Human Nature, is his straightforward claim that natural belief rebels against the concept of infinite divisibility as its consequences apply to the metric of space and time.2 As in the Treatise, Hume pits natural disbelief in infinite divisibility against abstract metaphysical reason. But in the Enquiry, he does not invoke reason merely to correct the excesses of natural belief for the skeptical deflation of natural belief, say, in the necessity of causal connection, or the existence of mind-independent continuants. On the contrary, Hume Studies Infinite Divisibility in Hume's First Enquiry 221 Hume here appears instead to invoke natural disbelief in... (shrink)

Pascal's wager has fascinated philosophers far in excess of its reputation as effective apologetics. Very few of the wager's defenders, in fact, have retained more than an academic interest in its power to persuade. Partly this is a matter of good manners. Pascal is supposed to have pitched his wager at folks who understand only self-interested motivations, and today it is no longer fashionable for defenders of theism to disparage the character of their opponents. But partly the low-key concern (...) with apologetics expresses a philosophical judgement. Pascal's defenders have found the question of the wager's audience to be less philosophically engaging than the logic of its argument. I believe that this assessment is mistaken. The most puzzling feature of Pascal's wager is its invocation of infinite utility. What are finite human beings, theists or otherwise, supposed to make of the idea of an infinitely desirable happiness? There are, I will argue, two sorts of response to this question, and depending on which sort Pascal had in mind, the logic of his wager comes out very differently. (shrink)

Muhammad Iqbal sees each person as the “self” with an independent identity, and God as the “Absolute Self”. The human experience of the self is a constantly changing experience. This change develops around a center and eventually forms an organic unity. The independence of the self does not mean that it is closed to other-selves. It is wrong to see the essence of the self as an unchanging substance or to conceive it as an unstable (...) flow. According to Iqbal, the real personality of man is not a "thing" but an "action", a "sum of behaviors". The human being at the highest level of self-consciousness is the only being among all creatures capable of consciously participating in the creative life of the Creator. (shrink)

The epochal transition from the medieval to the modern world has long been thought in terms of the "infinitization" of the world-picture, that is, as the transition from the finite, hierarchically ordered medieval cosmos to the infinite and homogeneous universe of the new astronomy and physics. In this dissertation I argue that this process of "infinitization" must be understood intensively as well as extensively. Nature, in the modern age, is thought not only as infinitely extended in space, but also (...) as exhibiting an infinite richness in all of its parts. Each individual being is grasped as utterly unique and consequently as conceptually inexponable. Thus the infinitization of the real leads to an infinitization of the knowable-- the radical shift in ontology grounds a corresponding shift in epistemology, so that the progress of human knowledge is understood as an unending project infinitely extended over time. ;I take as my point of departure a consideration of Hans Blumenberg's reading of this epochal transition in The Legitimacy of the Modern Age. Blumenberg views the transference of the attribute of infinity from God to the world as characteristic of the modern rejection of the medieval tendency to locate the measure of self- and world-understanding in a transcendent deity. The "worldliness" of the modern age, Blumenberg holds, must be understood as a reaction to the extreme intensification of divine transcendence in late medieval Nominalism. In the face of an absconded God, human "self-assertion" aims at the realization of this-worldly possibilities through the mastery and alteration of reality. I agree with Blumenberg that the primary expression of this self-assertion has been seen in the progress of modern science. The possibility of that progress, however, is grounded in an understanding of nature as a law-like and yet inexhaustible field of investigation directing thought toward an objectivity that is never entirely realized. The origin of such an understanding, I argue, is to be found in late medieval Neoplatonic speculation on the nature of God's omnipresence in the world, in particular in the notion of the immanence of the infinite in the finite. (shrink)

Although it was traditionally thought that self-reference is a crucial ingredient of semantic paradoxes, Yablo (1993, 2004) showed that this was not so by displaying an infinite series of sentences none of which is self-referential but which, taken together, are paradoxical. Yablo's paradox consists of a countable series of linearly ordered sentences s(0), s(1), s(2),... , where each s(i) says: For each k > i, s(k) is false (or equivalently: For no k > i is s(k) true). (...) We generalize Yablo's results along two dimensions. First, we study the behavior of generalized Yablo-series in which each sentence s(i) has the form: For Q k > i, s(k) is true, where Q is a generalized quantifier (e.g., no, every, infinitely many, etc). We show that under broad conditions all the sentences in the series must have the same truth value, and we derive a characterization of those values of Q for which the series is paradoxical. Second, we show that in the Strong Kleene trivalent logic Yablo's results are a special case of a more general fact: under certain conditions, any semantic phenomenon that involves self-reference can be emulated without self-reference. Various translation procedures that eliminate self-reference from a non-quantificational language are defined and characterized. An Appendix sketches an extension to quantificational languages, as well as a new argument that Yablo's paradox and the translations we offer do not involve self-reference. (shrink)

This book looks at the affective-cognitive roots of how the human mind inquires into the workings of nature and, more generally, how the mind confronts reality. Reality is an infinitely complex system, in virtue of which the mind can comprehend it only in bits and pieces, by making up interpretations of the myriads of signals received from the world by way of integrating those with information stored from the past. This constitutes a piecemeal interpretation by which we assemble our phenomenal (...) reality. In perceiving the complex world and responding to it, the mind invokes the logic of affect and the logic of reason, the former mostly innate and implicit, and the latter generated consciously in explicit terms with reference to mind-independent relations between entities in nature. It is a strange combination of affect and reason that enables us to make decisions and inferences, --- the latter mostly of the inductive type --- thereby making possible the development of theories. Theories are our tool-kits for explaining and predicting phenomena, guiding us along in our journey in life. Theories, however, are defeasible, and need to be constantly updated, at times even radically. In this, the self and the soul are of enormous relevance. The former is the affect-based psychological engine driving all our mental processes, while the latter is the capacity of the conscious mind to examine and reconstruct the self by modulating repressed conflicts. If the soul remains inoperative, all our theories become misdirected and a rot spreads inexorably all around us. (shrink)

Having been raised as a Catholic and educated in the West, then trained as a monk in India since the 1980s, Canadian author Swami Muktananda of Rishikesh is uniquely positioned to bring the Eastern tradition of Vedanta to Western spiritual seekers. In Awakening to the Infinite, he answers the eternal, fundamental question posed by philosophical seekers, "Who am I?" with straightforward simplicity. Knowing who you are and adopting a spiritual outlook, he counsels, can help solve problems in daily life (...) to do with relationships, work, children, sexuality, illness, and social injustice. In answering the question "Who am I?," Swami Muktananda of Rishikesh draws on the ancient teachings of advaita or nonduality, the truth that there is no division between ourselves and others at a fundamental level. The book is drawn from the many conversations he has throughout the year meeting with individuals from different backgrounds, cultures, and walks of life, as well as public talks and question and answer sessions. Covering subjects ranging from the spiritual path to everyday problems, Muktananda addresses questions with simplicity and compassion, from the standpoint of someone who is anchored in the infinite but fully in touch with the world. His teaching follows the words of Christ and the Old Testament as well as those of the sages of India, who all proclaim a universal truth that transcends all religions: 'You are not the body; you are not the mind; you are the immortal, divine Self. Realize this and be free.'. (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)

If you were to build a world from Nothing, how would you do it? By investigating the nature of self-reference, we will show how this can be achieved, how starting from Nothing, Everything can be obtained. Various implications of the definition of self-reference will be investigated, showing how it can account for various aspects of the phenomenology of consciousness, thus showing how starting from only 1 principle, a world of infinite complexity can be obtained. Parallels with set (...) theory will be made along the way. (shrink)

The Dushnik–Miller Theorem states that every infinite countable linear ordering has a nontrivial self-embedding. We examine computability-theoretical aspects of this classical theorem.

The purpose of this paper is to open for investigation a range of phenomena familiar from dynamical systems or chaos theory which appear in a simple fuzzy logic with the introduction of self-reference. Within that logic, self-referential sentences exhibit properties of fixed point attractors, fixed point repellers, and full chaos on the [0, 1] interval. Strange attractors and fractals appear in two dimensions in the graphing of pairs of mutually referential sentences and appear in three dimensions in the (...) graphing of mutually referential triples. (shrink)

We develop a Bayesian framework for thinking about the way evidence about the here and now can bear on hypotheses about the qualitative character of the world as a whole, including hypotheses according to which the total population of the world is infinite. We show how this framework makes sense of the practice cosmologists have recently adopted in their reasoning about such hypotheses.

There are certain things that can be explained and certain things that cannot be explained. This book is about the latter. It is a book about death: how death interrupts and influences the reflection on the self. It is a book about God: a detailed and critical discussion on how Kierkegaard and Derrida apply the concept of God in their philosophical reflections. The most ground-breaking analysis concerns the famous passage on the self in The Sickness unto Death, where (...) the author combines logical, rhetorical and dialectical means to establish a new perspective on Kierkegaard's thinking in general. The Cartesian doubt then constitutes a common trait for his detailed and rigorous analysis of Derrida and Kierkegaard on death, madness, faith, and rationality - showing how they both seek to break up the Hegelian Aufhebung from within, but still remain dependent on Hegel. After Kierkegaard and Derrida, the certainty and total uncertainty of death - and of God as infinite other - gives the self a basic, though non-foundational, responsibility. The significance of this responsibility, of this other, of this death, requires sustained and thorough consideration. Where others mark a conclusion, this book therefore marks a point of departure: reflecting on oneself at the graveside of a dead man - thus introducing an Autopsia. (shrink)

If you were to build a world from Nothing, how would you do it? By investigating the nature of self-reference, we will show how this can be achieved, how starting from Nothing, Everything can be obtained. Various implications of the definition of self-reference will be investigated, showing how it can account for various aspects of the phenomenology of consciousness, thus showing how starting from only 1 principle, a world of infinite complexity can be obtained. Parallels with set (...) theory will be made along the way. (shrink)