In this essay I defend a solution to a skeptical paradox. The paradox I focus on concerns epistemic justification (rather than knowledge), and skeptical scenarios that entail that most of our ordinary beliefs about the external world are false. This familiar skeptical paradox hinges on a “closure” principle. The solution is to restrict closure, despite its first appearing as a fully general principle, so that it can no longer give rise to the paradox. (...) This has some extra advantages. First, it suggests a general strategy that provides solutions to other versions of the paradox, not just those that depend on closure. Second, it clarifies the relation between the paradox and other kinds of skeptical problem. (shrink)

A number of contemporary philosophers think that the unqualified statement “X is unspeakable” faces the danger of self-referential absurdity: if this statement is true, it must simultaneously be false, given that X is speakable by the predicate word “unspeakable.” This predicament is in this chapter formulated as an argument that I term the “ineffability paradox.” After examining the Buddhist semantic theory of apoha (exclusion) and an apoha solution to the issue, I resort to a few Chinese Buddhist and Hindu (...) philosophical materials to rationally reconstruct a strategy for resolving the paradox. By introducing the mode of expression termed “indication,” together with the relevant notions of superimposition and of gesturing beyond the horizon, I show that expressing the ineffable does not necessarily involve irresoluble contradiction. It is also suggested that philosophers may need to acknowledge the relevance of the notion of ineffability for contemporary philosophizing. (shrink)

Simple random sampling resolutions of the raven paradox relevantly diverge from scientific practice. We develop a stratified random sampling model, yielding a better fit and apparently rehabilitating simple random sampling as a legitimate idealization. However, neither accommodates a second concern, the objection from potential bias. We develop a third model that crucially invokes causal considerations, yielding a novel resolution that handles both concerns. This approach resembles Inference to the Best Explanation (IBE) and relates the generalization’s confirmation to confirmation of (...) an associated law. We give it an objective Bayesian formalization and discuss the compatibility of Bayesianism and IBE. (shrink)

The violation of Bell inequalities by quantum physical experiments disproves all relativistic micro causal, classically real models, short Local Realistic Models (LRM). Non-locality, the infamous “spooky interaction at a distance” (A. Einstein), is already sufficiently ‘unreal’ to motivate modifying the “realistic” in “local realistic”. This has led to many worlds and finally many minds interpretations. We introduce a simple many world model that resolves the Einstein Podolsky Rosen paradox. The model starts out as a classical LRM, thus clarifying that (...) the many worlds concept alone does not imply quantum physics. Some of the desired ‘non-locality’, e.g. anti-correlation at equal measurement angles, is already present, but Bell’s inequality can of course not be violated. A single and natural step turns this LRM into a quantum model predicting the correct probabilities. Intriguingly, the crucial step does obviously not modify locality but instead reality: What before could have still been a direct realism turns into modal realism. This supports the trend away from the focus on non-locality in quantum mechanics towards a mature structural realism that preserves micro causality. (shrink)

To resolve the lottery paradox, the “no-justification account” proposes that one is not justified in believing that one's lottery ticket is a loser. The no-justification account commits to what I call “the Harman-style skepticism”. In reply, proponents of the no-justification account typically downplay the Harman-style skepticism. In this paper, I argue that the no-justification reply to the Harman-style skepticism is untenable. Moreover, I argue that the no-justification account is epistemically ad hoc. My arguments are based on a rather surprising (...) finding that the no-justification account implies that people living in Taiwan typically suffer from the Harman-style skepticism. (shrink)

Many ecological economists have argued that some natural capital should be preserved for posterity. Yet, among environmental philosophers, the preservation paradox entails that preserving parts of nature, including those denoted by natural capital, is impossible. The paradox claims that nature is a realm of phenomena independent of intentional human agency, that preserving and restoring nature require intentional human agency, and, therefore, no one can preserve or restore nature (without making it artificial). While this article argues that the preservation (...) paradox is more difficult to resolve than ordinarily recognized, it also concludes by sketching a positive way to understand what it means to preserve natural capital during the Anthropocene. (shrink)

Epistemic luck is a generic notion used to describe any of a number of ways in which it can be accidental, coincidental, or fortuitous that a person has a true belief. For example, one can form a true belief as a result of a lucky guess, as when one believes through guesswork that “C” is the right answer to a multiple-choice question and one’s belief just happens to be correct. One can form a true belief via wishful thinking; for example, (...) an optimist’s belief that it will not rain may luckily turn out to be correct, despite forecasts for heavy rain all day. One can reason from false premises to a belief that coincidentally happens to be true. One can accidentally arrive at a true belief through invalid or fallacious reasoning. And one can fortuitously arrive at a true belief from testimony that was intended to mislead but unwittingly reported the truth. In all of these cases, it is just a matter of luck that the person has a true belief. -/- Until the twenty-first century, there was nearly universal agreement among epistemologists that epistemic luck is incompatible with knowledge. Call this view “the incompatibility thesis.” In light of the incompatibility thesis, epistemic luck presents epistemologists with three distinct but related challenges. The first is that of providing an accurate analysis of knowledge (in terms of individually necessary and jointly sufficient conditions for “S knows that p,” where ‘S’ represents the knower and ‘p’ represents the proposition known). An adequate analysis of knowledge must succeed in specifying conditions that rule out all instances of knowledge-destroying epistemic luck. The second challenge is to resolve the skeptical paradox that the ubiquity of epistemic luck generates: As will become clear in section 2c, epistemic luck is an all-pervasive phenomenon. Coupling this fact with the incompatibility thesis entails that we have no propositional knowledge. The non-skeptical epistemologist must somehow reconcile the strong intuition that epistemic luck is not compatible with knowledge with the equally evident observation that it must be. The third challenge concerns the special skeptical threat that epistemic luck seems to pose for more reflective forms of knowledge, such as knowing that one knows. Each of these challenges will be explored in the present article. (shrink)

Previous failures to resolve the Andromeda paradox are discussed, and a resolution is presented using bricolage.

Recent years have seen fresh impetus brought to debates about the proper role of statistical evidence in the law. Recent work largely centres on a set of puzzles known as the ‘proof paradox’. While these puzzles may initially seem academic, they have important ramifications for the law: raising key conceptual questions about legal proof, and practical questions about DNA evidence. This article introduces the proof paradox, why we should care about it, and new work attempting to resolve it.

Nietzsche’s texts contain a puzzle about the role of vulnerability in the creation of intimacy and its function on behalf of human flourishing. I describe the interpretive puzzle and its prima facie paradoxical aspects. On the one hand, there are texts in which Nietzsche expresses a longing for intimacy and other texts where he furnishes details about the possibility of intimacy between equals. On the other hand, Nietzsche is severely critical of certain types of intimacy and advocates for a pathos (...) of distance in human relationships. I claim that Nietzschean intimacy is not an inherently paradoxical concept. A proper understanding of Nietzsche’s anti-humanism provides the resources to resolve the paradox and to use the solution of the puzzle to illuminate Nietzsche’s insights about human psychology. (shrink)

Martin Smith has recently proposed, in this journal, a novel and intriguing approach to puzzles and paradoxes in evidence law arising from the evidential standard of the Preponderance of the Evidence. According to Smith, the relation of normic support provides us with an elegant solution to those puzzles. In this paper I develop a counterexample to Smith’s approach and argue that normic support can neither account for our reluctance to base affirmative verdicts on bare statistical evidence nor resolve the pertinent (...) paradoxes. Normic support is, as a consequence, not a successful epistemic anti-luck condition. (shrink)

In the preface paradox the posited author is supposed to know both that every sentence in a book is true and that not every sentence in that book is true. But, this result is paradoxically contradictory. The paradoxicality exhibited in such cases arises chiefly out of the recognition that large-scale and difficult tasks like verifying the truth of large sets of sentences typically involve errors even given our best efforts to be epistemically diligent. This paper introduces an argument designed (...) to resolve the preface paradox so understood by appeal to the safety condition on knowledge. (shrink)

In this paper I argue first, that a contrastive account of self-knowledge and the propositional attitudes entails an anti-individualist account of propositional attitude concepts, second, that the final account provides a solution to the McKinsey paradox, and third, that the account has the resources to explain why certain anti-skeptical arguments fail.

Disagreement has been grist to the mills of sceptics throughout the history of philosophy. Recently, though, some philosophers have argued that widespread philosophical disagreement supports a broad scepticism about philosophy itself. In this paper, I argue that the task for sceptics of philosophy is considerably more complex than commonly thought. The mere fact that philosophical methods fail to generate true majority views is not enough to support the sceptical challenge from disagreement. To avoid demanding something that human reasoning cannot supply, (...) sceptics must show that philosophers have sufficient overlap to resolve their disagreements in particular concrete cases. (shrink)

When you and I seriously argue over whether a man of seventy is old enough to count as an "old man", it seems that we are appealing neither to our own separate standards of oldness nor to a common standard that is already fixed in the language. Instead, it seems that both of us implicitly invoke an ideal, shared standard that has yet to be agreed upon: the place where we ought to draw the line. As with other normative standards, (...) it is hard to know whether such borderlines exist prior to our coming to agree on where they are. But epistemicists plausibly argue that they must exist whether we ever agree on them or not, as this provides the only logically acceptable response to the sorites paradox. This paper argues that such boundaries do typically exist as hypothetical ideals, but not as determinate features of the present actual world. There is in fact no general solution to the paradox, but attention to practice in resolving vague disagreements shows that its instances can be dealt with separately, as they arise, in many reasonable ways. (shrink)

Rom Harré thinks that the Emergence–Reduction debate, conceived as a vertical problem, is partly ill posed. Even if he doesn’t wholly reject the traditional definition of an emergent property as a property of a collection but not of its components, his point is that this definition doesn’t exhaust all the dimensions of emergence. According to Harré there is another kind (or dimension) of emergence, which we may call—somewhat paradoxically—“horizontal emergence”: two properties of a substance are horizontally emergent relative to each (...) other if they cannot be displayed in the same conditions. Contrary to vertical emergence, horizontal emergence is a symmetrical relation. Harré endorses horizontal emergentism. I argue that this position faces a principled difficulty: it makes it impossible to bind different horizontally emergent discourses in an interesting way. Physics and biology for example become “island” discourses, each speaking of a distinct kind of entities. The only way to ensure that two different discourses can relate to the same entity is to reintroduce verticality into the picture. (shrink)

The paper continues the consideration of Hilbert mathematics to mathematics itself as an additional “dimension” allowing for the most difficult and fundamental problems to be attacked in a new general and universal way shareable between all of them. That dimension consists in the parameter of the “distance between finiteness and infinity”, particularly able to interpret standard mathematics as a particular case, the basis of which are arithmetic, set theory and propositional logic: that is as a special “flat” case of Hilbert (...) mathematics. The following four essential problems are considered for the idea to be elucidated: Fermat’s last theorem proved by Andrew Wiles; Poincaré’s conjecture proved by Grigori Perelman and the only resolved from the seven Millennium problems offered by the Clay Mathematics Institute (CMI); the four-color theorem proved “machine-likely” by enumerating all cases and the crucial software assistance; the Yang-Mills existence and mass gap problem also suggested by CMI and yet unresolved. They are intentionally chosen to belong to quite different mathematical areas (number theory, topology, mathematical physics) just to demonstrate the power of the approach able to unite and even unify them from the viewpoint of Hilbert mathematics. Also, specific ideas relevant to each of them are considered. Fermat’s last theorem is shown as a Gödel insoluble statement by means of Yablo’s paradox. Thus, Wiles’s proof as a corollary from the modularity theorem and thus needing both arithmetic and set theory involves necessarily an inverse Grothendieck universe. On the contrary, its proof in “Fermat arithmetic” introduced by “epoché to infinity” (following the pattern of Husserl’s original “epoché to reality”) can be suggested by Hilbert arithmetic relevant to Hilbert mathematics, the mediation of which can be removed in the final analysis as a “Wittgenstein ladder”. Poincaré’s conjecture can be reinterpreted physically by Minkowski space and thus reduced to the “nonstandard homeomorphism” of a bit of information mathematically. Perelman’s proof can be accordingly reinterpreted. However, it is valid in Gödel (or Gödelian) mathematics, but not in Hilbert mathematics in general, where the question of whether it holds remains open. The four-color theorem can be also deduced from the nonstandard homeomorphism at issue, but the available proof by enumerating a finite set of all possible cases is more general and relevant to Hilbert mathematics as well, therefore being an indirect argument in favor of the validity of Poincaré’s conjecture in Hilbert mathematics. The Yang-Mills existence and mass gap problem furthermore suggests the most general viewpoint to the relation of Hilbert and Gödel mathematics justifying the qubit Hilbert space as the dual counterpart of Hilbert arithmetic in a narrow sense, in turn being inferable from Hilbert arithmetic in a wide sense. The conjecture that many if not almost all great problems in contemporary mathematics rely on (or at least relate to) the Gödel incompleteness is suggested. It implies that Hilbert mathematics is the natural medium for their discussion or eventual solutions. (shrink)

Previous claims to have resolved the two-envelope paradox have been premature. The paradoxical argument has been exposed as manifestly fallacious if there is an upper limit to the amount of money that may be put in an envelope; but the paradoxical cases which can be described if this limitation is removed do not involve mathematical error, nor can they be explained away in terms of the strangeness of infinity. Only by taking account of the partial sums of the infinite (...) series of expected gains can the paradox be resolved. (shrink)

Resumo O Contextualismo Epistêmico é conhecido por alegar oferecer a melhor resposta para alguns dos principais problemas epistemológicos, dentre eles o problema gerado pelos paradoxos céticos e, por conseguinte, por deter o conhecimento sobre muitas coisas que ordinariamente julgávamos já conhecidas. Da mesma forma, seria uma via capaz de manter a validade do princípio de fechamento dedutivo. O presente texto pretende analisar a teoria contextualista, conforme apresentada por Stewart Cohen, mostrando como o contextualismo resolve essas questões. Na primeira parte do (...) texto apresentaremos alguns problemas (e algumas características históricas) que culminaram no surgimento do contextualismo. Na segunda parte explanaremos a teoria contextualista de Cohen. Em seguida levantamos algumas objeções comumente endereçadas ao contextualismo. Por fim, concluímos que, embora não seja completamente refutada, a teoria contextualista deve dirimir dúvidas e explicar algumas dificuldades para manter a sua plausibilidade. Palavras-Chave: Contextualismo; Ceticismo; Conhecimento; Stewart Cohen. -/- Abstract Epistemic Contextualism is known by his allegation to possess the best answer to some of the major epistemological problems, among them, the problem created by the skeptical paradoxes and therefore the claim that we can know many things we ordinarily claim to know, and also maintains the validity of the closure principle. This paper seeks to examine Contextualism, as presented by Stewart Cohen, showing how Contextualism solves these problems. In the first section of the text I will present some problems (and some historic features) that originated Contextualism. In the second section I will present the Cohen`s Contextualism. Then, we consider some objections raised against the contextualista theory. Finally, we conclude that although these objections are not able to completely refute contextualism its proponents have to give better explanations in order to maintain its plausibility. Keywords: Contextualism; Skepticism; Knowledge; Stewart Cohen. (shrink)

This paper resolves a paradox concerning colour constancy. On the one hand, our intuitive, pre-theoretical concept holds that colour constancy involves invariance in the perceived colours of surfaces under changes in illumination. On the other, there is a robust scientific consensus that colour constancy can persist in cerebral achromatopsia, a profound impairment in the ability to perceive colours. The first stage of the solution advocates pluralism about our colour constancy capacities. The second details the close relationship between colour constancy (...) and contrast. The third argues that achromatopsics retain a basic type of colour constancy associated with invariants in contrast processing. The fourth suggests that one person-level, conscious upshot of such processing is the visual awareness of chromatic contrasts ‘at’ the edges of surfaces, implicating the ‘colour for form’ perceptual function. This primitive type of constancy sheds new light on our most basic perceptual capacities, which mark the lower borders of representational mind. (shrink)

It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for (...) a wrong that x has committed, then all cases in which x blames x (i.e. cases of self-blame) are rendered inappropriate. But it seems to be ethical common-sense that we are often, sadly, in position (indeed, excellent, privileged position) to blame ourselves for our own moral failings. And thus we have a paradox: a conflict between the inappropriateness of hypocritical blame, and the appropriateness of self-blame. We consider several ways of resolving the paradox, and contend none is as defensible as a position that simply accepts it: we should never blame ourselves. In defending this startling position, we defend a crucial distinction between self-blame and guilt. (shrink)

Resolving the Ross and Prior paradoxes proved to be a difficult task. Its first two stages, involving the identification of the true natures of the implication and truth values, are described in the articles "Solving the Paradox of Material Implication – 2024" and "Solving Jörgensen's Dilemma – 2024". This article describes the third stage, which involves the discovery of missing modal operators and the Classical Modal Calculus. Finally, procedures for solving both paradoxes are provided.

Most theories of suspense implicitly or explicitly have as a background assumption what I call suspense realism, i.e., that suspense is itself a genuine, distinct emotion. I claim that for a theory of suspense to entail suspense realism is for that theory to entail a contradiction, and so, we ought instead assume a background of suspense eliminativism, i.e., that there is no such genuine, distinct emotion that is the emotion of suspense. More precisely, I argue that i) any suspense realist (...) (...) theory must resolve the paradox of suspense, ii) if suspense is itself a genuine, distinct emotion, then in order to resolve the paradox of suspense it must be a radically sui generis genuine, distinct emotion, iii) according to any minimally adequate theory of the emotions, there can be no radically sui generis emotion, and so iv) there can be no genuine, distinct emotion that is the emotion of suspense. Quite simply, if a theory of suspense must entail suspense realism, then we ought to be eliminativists about suspense. This I call the Paradox of Suspense Realism, which I take to constitute a productive viability condition for any theory of suspense, i.e., any viable theory of suspense must be mutatis mutandis compatible with suspense eliminativism. (shrink)

In?201 of Philosophical Investigations, Ludwig Wittgenstein puts forward his famous? rule - following paradox.? The paradox is how can one follow in accord with a rule? the applications of which are potentially infinite? when the instances from which one learns the rule and the instances in which one displays that one has learned the rule are only finite? How can one be certain of rule - following at all? In Wittgenstein: On Rules and Private Language, Saul Kripke concedes (...) the skeptical position that there are no facts that we follow a rule but that there are still conditions under which we are warranted in asserting of others that they are following a rule. In this paper, I explain why Kripke?s solution to the rule - following paradox fails. I then offer an alternative. (shrink)

Kant's account of space as an infinite given magnitude in the Critique of Pure Reason is paradoxical, since infinite magnitudes go beyond the limits of possible experience. Michael Friedman's and Charles Parsons's accounts make sense of geometrical construction, but I argue that they do not resolve the paradox. I argue that metaphysical space is based on the ability of the subject to generate distinctly oriented spatial magnitudes of invariant scalar quantity through translation or rotation. The set of determinately oriented, (...) constructed geometrical spaces is a proper subset of metaphysical space, thus, metaphysical space is infinite. Kant's paradoxical doctrine of metaphysical space is necessary to reconcile his empiricism with his transcendental idealism. (shrink)

Wittgenstein formulates the paradox of gestalt switches thus: ‘What is incomprehensible is that nothing, and yet everything has changed, after all. That is the only way to put it’. In the course of isolating what I take to be the best of the various solutions to the paradox explored by Wittgenstein, the following claims are defended: (a) A significant strand in Wittgenstein’s own formulation of, and solution to, the paradox can best be understood as a response to (...) three specific claims made by the Gestalt psychologist Kohler. (b) The most promising avenue Wittgenstein explored in his many attempts to resolve the paradox gives perceptual attention a constitutive role in the solution (c) This role is best elaborated, partially, by appeal to information processing theories of attention. (d) There are good reasons to think that the kind of solution to the paradox this yields would have been welcomed by Wittgenstein. (shrink)

This paper reconsiders certain of Kierkegaard's criticisms of Hegel's theoretical philosophy in the light of recent interpretations of the latter. The paper seeks to show how these criticisms, far from being merely parochial or rhetorical, turn on central issues concerning the nature of thought and what it is to think. I begin by introducing Hegel's conception of "pure thought" as this is distinguished by his commitment to certain general requirements on a properly philosophical form of inquiry. I then outline Hegel's (...) strategy for resolving a crucial problem he takes himself to face. For his account of the nature of thought depends upon the idea of a form of inquiry in which nothing whatsoever is presupposed; but this idea appears basically paradoxical inasmuch as the mere act of beginning to inquire in a certain way embodies an assumption about how it is appropriate to begin. Turning to Kierkegaard, I consider a key objection to the effect that Hegel's strategy for resolving this paradox depends on the incoherent idea of a purely reflexive act of thinking. Finally, I draw out some central features of the alternative account of "situated" thought and inquiry which Kierkegaard presents as distinctively Socratic. (shrink)

Illusionism is the view that conscious experience is some sort of introspective illusion. According to illusionism, there is no conscious experience, but it merely seems like there is conscious experience. This would suggest that much phenomenological enquiry, including work on phenomenological psychopathology, rests on a mistake. Some philosophers have argued that illusionism is obviously false, because seeming is itself an experiential state, and so necessarily presupposes the reality of conscious experience. In response, the illusionist could suggest that the relevant sort (...) of seeming here is not an experiential state, but is a cognitive state, such as a judgement or a belief, which is fully amenable to a physical or functionalist analysis. Herein, I argue that this response is unsuccessful and fails to undermine the reality of conscious experience. Nonetheless, the response does raise the problem of how a judgement or belief about the character of a conscious experience, even if it is true, can be justified if the conscious experience has no causal role in the formation of the judgement or belief. This is not a new problem, but is a reiteration of an old problem that is known in the philosophy of mind literature as the paradox of phenomenal judgement. I consider how the paradox of phenomenal judgement can be resolved and how the judgement or belief about conscious experience can be justified with appeal to the notion of acquaintance. (shrink)

In this paper, I argue that the recent discussion on the time - reversal invariance of classical electrodynamics (see (Albert 2000: ch.1), (Arntzenius 2004), (Earman 2002), (Malament 2004),(Horwich 1987: ch.3)) can be best understood assuming that the disagreement among the various authors is actually a disagreement about the metaphysics of classical electrodynamics. If so, the controversy will not be resolved until we have established which alternative is the most natural. It turns out that we have a paradox, namely that (...) the following three claims are incompatible: the electromagnetic fields are real, classical electrodynamics is time-reversal invariant, and the content of the state of affairs of the world does not depend on whether it belongs to a forward or a backward sequence of states of the world. (shrink)

The principle of indifference is supposed to suffice for the rational assignation of probabilities to possibilities. Bertrand advances a probability problem, now known as his paradox, to which the principle is supposed to apply; yet, just because the problem is ill‐posed in a technical sense, applying it leads to a contradiction. Examining an ambiguity in the notion of an ill‐posed problem shows that there are precisely two strategies for resolving the paradox: the distinction strategy and the well‐posing (...) strategy. The main contenders for resolving the paradox, Marinoff and Jaynes, offer solutions which exemplify these two strategies. I show that Marinoff’s attempt at the distinction strategy fails, and I offer a general refutation of this strategy. The situation for the well‐posing strategy is more complex. Careful formulation of the paradox within measure theory shows that one of Bertrand’s original three options can be ruled out but also shows that piecemeal attempts at the well‐posing strategy will not succeed. What is required is an appeal to general principle. I show that Jaynes’s use of such a principle, the symmetry requirement, fails to resolve the paradox; that a notion of metaindifference also fails; and that, while the well‐posing strategy may not be conclusively refutable, there is no reason to think that it can succeed. So the current situation is this. The failure of Marinoff’s and Jaynes’s solutions means that the paradox remains unresolved, and of the only two strategies for resolution, one is refuted and we have no reason to think the other will succeed. Consequently, Bertrand’s paradox continues to stand in refutation of the principle of indifference. (shrink)

Rawls in his later philosophy claims that it is sufficient to accept political conception as true or right, depending on what one's worldview allows, on the basis of whatever reasons one can muster, given one's worldview (doctrine). What political liberalism is interested in is a practical agreement on the political conception and not in our reasons for accepting it. There are deep issues (regarding deep values, purpose of life, metaphysics etc.) which cannot be resolved through invoking common reasons (this is (...) the fact of free reason itself), and trying to resolve them would involve us in interminable debates and would hamper the practical task of agreement on the political conception. Given the absolute necessity of a political society which is stable and enduring, it is thus wise to avoid these issues in founding a political society and choosing its basic principles - this is the pragmatic part of Rawls's position. In this paper I argue that this strategy leads Rawls into a paradox: (i) although the intention is to stay independent of comprehensive doctrines, the political conception is in fact totally (and precariously) dependent on comprehensive doctrines (not just on one doctrine but on each and every major doctrine in society). It is dependent on them: for its conceptualisation as an independent idea, for its justification, for the check of its reasonability in relation to the external world, for the formation of identities and value inculcation and hence for the formation of its model citizen; (ii) the very search for independence makes the political conception more dependent on comprehensive doctrines, and by extension makes it potentially more prone to intervention in and tampering with comprehensive doctrines (it is enough to show that it is a strong conceptual possibility to cast doubt on the whole strategy). Thus, for example, the political conception relies on the hope that “firmly held convictions gradually change” and that it would “in fact . . . have the capacity to shape those doctrines toward itself”. The purpose of the Rawlsian conjecture is to give these “hopes” a concrete, practical form by giving advice to proponents of the comprehensive doctrine on how they can do all this and “try to show them that, despite what they might think, they can still endorse a reasonable political conception”. I further argue that this paradox can be overcome by making the core of political liberalism more flexible. (shrink)

The current debates in social sciences show that the paradox of observing—the embeddedness of observer in the process of observing—is at the heart of the controversy about their cognitive status and future. Although the problem of observing has been addressed in numerous theoretical perspectives—some of which (Habermas, Leydesdorff, Maturana, and Luhmann) are examined in this article—the prospects for resolving this paradox remain problematic. Locating a point that allows reflection on the process of autopoiesis in general, not just (...) the operation of a particular autopoietic system, may be one condition for resolving this paradox. Such point will offer reflection on all autopoietic systems, including the observer. The dynamic balance between equilibrium and disequilibrium is the mechanism which regulates the process of autopoiesis. Since the function of regulation is essentially a reflective function, this equilibrium between equilibrium and disequilibrium, which can be identified with the concept of homeorhesis introduced by Conrad Waddington, may offer a possibility to reflect on the process of observing. (shrink)

Though ancient Pyrrhonian skepticism is apparently based on disagreement, this aspect of skepticism has been widely neglected in contemporary discussion on skepticism. The paper provides a rational reconstruction of the skeptical argument from disagreement that can be found in the books of Sextus Empiricus. It is argued that this argument forms a genuine skeptical paradox that has no fully satisfactory resolution. All attempts to resolve it make knowledge or justified belief either intuitively too easy or impossible.

Clark and Shackel have recently argued that previous attempts to resolve the two-envelope paradox fail, and that we must look to symmetries of the relevant expected-value calculations for a solution. Clark and Shackel also argue for a novel solution to the peeking case, a variant of the two-envelope scenario in which you are allowed to look in your envelope before deciding whether or not to swap. Whatever the merits of these solutions, they go beyond accepted decision theory, even contradicting (...) it in the peeking case. Thus if we are to take their solutions seriously, we must understand Clark and Shackel to be proposing a revision of standard decision theory. Understood as such, we will argue, their proposal is both implausible and unnecessary. (shrink)

This short paper offers a skeptical solution to Åqvist's paradox of epistemic obligation. The solution is based on the contention that in SDL/KDT logics the externalist features of knowledge, about which we cannot have obligations, are obscured.

Reading Kripke's "Wittgenstein on Rules and Private Language", at first one can easily get confused about his claim that the problem discovered was a sort of ontological skepticism. Contrary to the opinion of a great number of contemporary philosophers who hold that rule-following brings up merely epistemological problems I will argue that the scepticism presented by Kripke really is ontological because it is concerned with the exclusion of certain facts. The first section in this paper is dedicated to a presentation (...) of Kripke's paradox with a clarification of the position of "plus/quus-talk" in the argument. Section two is engaged in one of his classical direct solutions: the dispositional theory which will serve as a preparation for the last section. Section three is concerned with Kripke's solution to the skeptical problem, ending with the question of whether he is giving a real solution. In section four, I will try to give an answer to those questions, distinguishing between two different versions of the problem given by the paradox; a wrong one and a correct one. Readers who are really fed up with the sceptical problem and its sceptical solution can skip section one, two and three, concentrating instead on my own argument for the real nature of the problem. In section five, I will pick up on some ideas from Norwich, who tries to give a "straight solution" to the paradox reanimating some weaker version of a dispositional theory of meaning. I will argue that Horwich's solution is misleading because he aims at the wrong version of the paradox. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to consider (...) the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. These, provides a new interpretation of Quantum Mechanics.More exactly what we see here is "Particle-Fuzzy time" interpretation of quantum Mechanics, in contrast to some other interpretations of Quantum Mechanics like " Wave-Particle" interpretation. At the end, we propound a question about the possible solution of a paradox in Physics, the contradiction between General Relativity and Quantum Mechanics. (shrink)

A thought experiment demonstrates that physicalism about consciousness entails a para- doxical duplication of physical information. Moreover, objective existence acquires the status of a physical property. To avoid this paradox, one requires a concept of objectivity in which individuation is finite and incomplete. Finite individuation requires objective uncertainty and is thus corroborated by the contemporary sciences. Finite individuation and objective uncer- tainty prevent existence from becoming a physical property, thus defeating physicalism about consciousness and resolving the paradox.

This paper provides a reinterpretation of some of the most influential skeptical arguments, Agrippa’s trilemma, meta-regress arguments, and Cartesian external world skepticism. These skeptical arguments are reasonably regarded as unsound arguments about the extent of our knowledge. However, reinterpretations of these arguments tell us something significant about the preconditions and limits of persuasive argumentation. These results contribute to the ongoing debates about the nature and resolvability of deep disagreement. The variety of skeptical arguments shows that we must (...) distinguish different types of deep disagreement. Moreover, the reinterpretation of skeptical arguments elucidates that deep disagreement cannot be resolved via argumentation. (shrink)

Western societies are experiencing a crisis of trust: we no longer enjoy high levels of confidence in social institutions and are increasingly skeptical of those holding positions of authority. The crisis of trust, however, seems paradoxical: at the same time we report greater feelings of mistrust or an erosion of trust in institutions and technologies we increasingly entrust our wellbeing and security to these very same technologies and institutions. Analyzing trust not only will help resolve the paradox but (...) suggests that the crisis entails normative expectations linked to collective identity, and as such, trust can be understood as a public virtue. (shrink)

Given plausible assumptions about the nature of evidence and undercutting defeat, many believe that the force of the evidential problem of evil depends on sceptical theism’s being false: if evil is...

One of the most debated problems in the foundations of the special relativity theory is the role of conventionality. A common belief is that the Lorentz transformation is correct but the Galilean transformation is wrong. It is another common belief that the Galilean transformation is incompatible with Maxwell equations. However, the “principle of general covariance” in general relativity makes any spacetime coordinate transformation equally valid. This includes the Galilean transformation as well. This renders a new paradox. This new (...) class='Hi'>paradox is resolved with the argument that the Galilean transformation is equivalent to the Lorentz transformation. The resolution of this new paradox also provides the most straightforward resolution of an older paradox which is due to Selleri in. I also present a consistent electrodynamics formulation including Maxwell equations and electromagnetic wave equations under the Galilean transformation, in the exact form for any high speed, rather than in low speed approximation. Electrodynamics in rotating reference frames is rarely addressed in textbooks. The presented formulation of electrodynamics under the Galilean transformation even works well in rotating frames if we replace the constant velocity v\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}$$\end{document} with v=ω×r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}=\varvec{\omega }\times \mathbf {r}$$\end{document}. This provides a practical tool for applications of electrodynamics in rotating frames. When electrodynamics is concerned, between two inertial reference frames, both Galilean and Lorentz transformations are equally valid, but the Lorentz transformation is more convenient. In rotating frames, although the Galilean electrodynamics does not seem convenient, it could be the most convenient formulation compared with other transformations, due to the intrinsic complex nature of the problem. (shrink)

Many ethical systems hold that agents earn merit and demerit through their good and bad deeds. Some of these ethical systems also accept merit transference, allowing merit to be transferred, in certain circumstances, from one agent to another. In this article, I argue that there is a previously unrecognized paradox for merit transference involving a phenomenon I call “merit inflation”. With a particular focus on Buddhist ethics, I then look at the options available for resolving this paradox. (...) I conclude that merit inflation poses a serious challenge for any ethical system that broadly permits the transfer of merit. (shrink)

This paper deals with Veronica Rodriguez-Blanco’s answer to the paradox of the normativity of law: How can autonomous self-legislating persons act, without compromising their autonomy and their will, following legal rules? Regarding Rodriguez-Blanco’s answer, I offer two main critiques. The first one is based on Rodriguez-Blanco’s comments to David Enoch’s paper in which I argue against the idea that a descriptive theoretical account of law can, and should, give an answer to general problems of normativity due to the fact (...) that a theoretical approach that engages in questions about the normativity of law cannot be purely descriptive, therefore against Rodriguez-Blanco I conclude that Enoch’s answer is the only response a descriptive account is able to offer. The second criticism focuses on Rodriguez-Blanco’s response to the paradox and argues that her solution is not, in fact, a descriptive one, but one that relies on strong normative premises, which as it turns out defend a perfectionist perspective towards the law.Resumen:Este trabajo analiza la respuesta que Veronica Rodriguez-Blanco propone para resolver la paradoja de la normatividad del derecho: ¿Cómo es posible que una persona autónoma actúe siguiendo los mandatos de normas jurídicas sin comprometer su autonomía ni su voluntad? El autor ofrece dos críticas a la respuesta de Rodriguez-Blanco. La primera de ellas está basada en los comentarios que Rodriguez-Blanco ha hecho sobre la propuesta de David Enoch. En este punto, el autor argumenta en contra de la idea según la cual una perspectiva descriptiva del derecho puede, y debe, tratar de responder a los problemas generales de la normatividad del derecho. De acuerdo con el autor, una perspectiva que pretenda dar respuesta a los problemas de la normatividad del derecho no puede ser una perspectiva puramente descriptiva. En este sentido, el autor sostiene que la respuesta que ofrece Enoch es la única respuesta que una perspectiva descriptiva del derecho puede dar. La segunda crítica está dirigida a la respuesta que Rodriguez-Blanco da sobre la paradoja de la normatividad. En este segundo punto el autor argumenta que la perspectiva de Rodriguez-Blanco no es una perspectiva descriptiva como ella presume, sino que adopta una perspectiva normativa la cual, además, está comprometida con una idea perfeccionista del derecho. (shrink)

The coordinated attack scenario and the electronic mail game are two paradoxes of common knowledge. In simple mathematical models of these scenarios, the agents represented by the models can coordinate only if they have common knowledge that they will. As a result, the models predict that the agents will not coordinate in situations where it would be rational to coordinate. I argue that we should resolve this conflict between the models and facts about what it would be rational to do (...) by rejecting common knowledge assumptions implicit in the models. I focus on the assumption that the agents have common knowledge that they are rational, and provide models to show that denying this assumption suffices for a resolution of the paradoxes. I describe how my resolution of the paradoxes fits into a general story about the relationship between rationality in situations involving a single agent and rationality in situations involving many agents. (shrink)

The chapter considers the “paradox of fiction,” understood as the claim that it is in some sense irrational or inappropriate to respond emotionally to mere fictions. Several theorists have held that special features of imagination, or other “arational” mental reflexes, play a role in its resolution. I argue, to the contrary, that imagination need not enter into the solution, and that the paradox can be resolved in a way that shows our responses to fictions to be reasonable and (...) warranted, even if our emotional reactions to fiction are caused by beliefs and desires. Coming to terms with the paradox requires both properly understanding the “rug-pull” structure of the examples used to motivate it, and appreciating the specific emotional norms relevant to fiction appreciation. Related proposals by Livingston & Mele (1997) and Gilmore (2011) are discussed; their relevance to and coherence with the present account are explained. [This is Chapter 11 of Explaining Imagination.]. (shrink)

The epistemological consequences of paradox are paradoxical. They can be usefully generated by telling a series of once-upon-a-time stories that make various philosophical points, starting out innocent and ending up, well, paradoxical. This is an introduction to my Live Skepticism, defended in Skepticism Comes Alive.

The paradox of 'the One and the Many' might, more generally, be understood as the paradox of relationship. In order for there to be relationship there must be at least two parties in relation. The relation must, at once, hold the parties apart (otherwise they would collapse into unity) while holding them together (otherwise relationship itself would cease). It must do so, further, without itself becoming a third party which would then, itself, need to be related. This paper (...) considers this paradox as we find it manifest in the theories of quantum physics, the Socratic pursuit of universals, and, finally, at the very heart of human personhood - where we discover it at the core of interpersonal relationships, existential anxiety, and social distress. It is suggested, in the end, that though reason cannot resolve the terms of this paradox, there is a potential solution to the existential problems that spring from it, a solution lying in what Jesus calls, simply, 'faith.'. (shrink)