ontology metaontology wright platonism fregean existence epistemology.

According to some, there is a problem concerning the emotions we feel toward fictional entities such as Anna Karenina, Werther and the like. We feel pity, fear, and sadness toward them, but how is that possible? “We are saddened, but how can we be? What are we sad about? How can we feel genuinely and involuntarily sad, and weep, as we do know that no one has suffered or died?” (Radford, in: Proceedings of the Aristotelian Society, 1975). This is the (...) paradox of fiction which is based on the assumption that emotions, to be genuine and rational, should be directed toward existent beings. But if beliefs about existence are necessary for us to be rationally moved by something, and such beliefs are lacking when we are moved by fiction (because we do not believe fictional characters and events to be real), then our capacity for an emotional response to fiction is irrational. Consequently, our emotional attitude toward future generations should be considered as irrational as well. But is this really the case? Are there good arguments to consider future and fictional entities as similar from this point of view? Or would it be better to distinguish the two? Is there such a thing as a paradox of the future? If so, how does it relate to the more famous paradox of fiction? (shrink)

Stephen Hawking has argued that universes containing evaporating black holes can evolve from pure initial states to mixed final ones. Such evolution is non-unitary and so contravenes fundamental quantum principles on which Hawking's analysis was based. It disables the retrodiction of the universe's initial state from its final one, and portends the time-asymmetry of quantum gravity. Small wonder that Hawking's paradox has met with considerable resistance. Here we use a simple result for C*-algebras to offer an argument for pure-to-mixed (...) state evolution in black hole evaporation, and review responses to the Hawking paradox with respect to how effectively they rebut this argument. (shrink)

Philip Jourdain put this question to Frege in a letter of 28 January 1909. Frege had, indeed, next to nothing to say about ordinals, and in this respect Bob Hale has followed the master. As I hope this chapter will show, though, the topic is worth addressing. The natural abstraction principle for ordinals combines with full, impredicative second-order logic to engender a contradiction, the so-called Burali-Forti Paradox. I shall contend that the best solution involves a retreat to a predicative (...) logic. Such a retreat has implications for other neo-Fregean theories, including the cardinal arithmetic on which Hale has focused. The discussion will touch on a topic which has been at the centre of Hale’s more recent work—namely, the interpretation of plural and higher-order quantifiers. (shrink)

This paper aims to investigate the so-called paradox of deterministic probabilities: in a deterministic world, all probabilities should be subjective; however, they also seem to play important explanatory and predictive roles which suggest they are objective. The problem is then to understand what these deterministic probabilities are. Recent proposed solutions of this paradox are the Mentaculus vision, the range account of probability, and a version of frequentism based on typicality. All these approaches aim at defining deterministic objective probabilities (...) as to make them compatible with determinism. In this paper I argue that one can think of the equivalent of subjective and objective deterministic probabilities in terms of typicality. Also, I show that only what I identify with objective probabilities play the necessary explanatory and predictive roles, while the subjective components essentially guide beliefs. In this way, the paradox is solved. (shrink)

Sometimes people desire that their lives go badly, take pleasure in their lives going badly, or believe that their lives are going badly. As a result, some popular theories of welfare are paradoxical. I show that no attempt to defend those theories from the paradox fully succeeds.

Lucian’s Hermotimus, despite its first appearances of being a merely skeptical, even sophistical discrediting of philosophy, is better read as a powerful protreptic defense of the endeavor, whose key ancient intertext is Plato's Republic. To make this case, the paper involves three parts. In part i, we examine the metaphilosophical framing of the Hermotimus’s exchange between the eponymous hero, aged about 60 (§48) and Lucian’s favored interlocutor, Lycinus. We show that Lucian accepts that philosophy is intended to be an elevated (...) way of life cultivating wisdom and virtue, at the same time as he is concerned at how readily this pursuit can devolve into a hybristic, sectarian endeavor, in which pupils identify uncritically with instructors who do not match their words with their deeds. In part ii., we address the central elenchus and the action of the Hermotimus, the patient work by Lycinus to undermine Hermotimus’ dogmatic self-conceit, by refuting the different solutions he offers to the paradox involved in his having chosen a particular philosophical orientation, Stoicism, as a novice without philosophical training. Part iii. excavates the positive vision of philosophy that the action of the dialogue shows, highlighting the five key places in Hermotimus wherein Lycinus offers us entirely unironic visions of what philosophy at it best could be, in contrast to what it has become in Hermotimus or his teachers: or, as Lycinus heralds it, a kind of Ariadne’s thread out of the maze of Hermotimus’ paradox (§68). (shrink)

What is the connection between the surge of populism and the deflation of electoral support to traditional left-leaning ideological positions? How can we explain the downfall of the Left in conditions that should be propelling it to power? In its reaction both to the neo-liberal hegemony and to the rise of populism, I claim that the Left is afflicted by what Nietzsche called ‘a democratic prejudice’ – the reflex of reading history as the advent of democracy and its crisis. As (...) a result, the Left now undertakes to recover democracy by resurrecting the growth-and-redistribution policy set that was a trademark of the ‘golden age’ of social democracy in the three post-war decades. This nostalgic gesture, however, is leading the Left into another predicament, which I call the ‘paradox of emancipation’ – while fighting for equality and inclusion as essential conditions for democratic citizenship, the Left is validating the social order within which equality and inclusion are being sought – namely, order shaped by the competitive production of profit which is the root cause of our societies’ plight. The analysis concludes with a proposal for building a counter-hegemony against neo-liberal capitalism by means of enlarging the Left’s focus beyond its traditional concerns with inequality and exclusion, to address also the injustice of growing social and economic insecurity – a harm whose reach surpasses the working poor. Reformulating an agenda of social justice around issues of economic insecurity that cross the ‘class divide’ would allow the Left to mobilize a broad coalition of social forces for radical and lasting change in the direction of socialist democracy. (shrink)

Roy T Cook examines the Yablo paradox--a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others that follow it. He focuses on questions of characterization, circularity, and generalizability, and pays special attention to the idea that it provides us with a semantic paradox that involves no circularity.

Any theory of truth must find a way around Curry’s paradox, and there are well-known ways to do so. This paper concerns an apparently analogous paradox, about validity rather than truth, which JC Beall and Julien Murzi call the v-Curry. They argue that there are reasons to want a common solution to it and the standard Curry paradox, and that this rules out the solutions to the latter offered by most “naive truth theorists.” To this end they (...) recommend a radical solution to both paradoxes, involving a substructural logic, in particular, one without structural contraction. In this paper I argue that substructuralism is unnecessary. Diagnosing the “v-Curry” is complicated because of a multiplicity of readings of the principles it relies on. But these principles are not analogous to the principles of naive truth, and taken together, there is no reading of them that should have much appeal to anyone who has absorbed the morals of both the ordinary Curry paradox and the second incompleteness theorem. (shrink)

Ives et al claim to have identified a paradox within patient and public involvement in research1—that is, that the benefits of PPI can never be fully realised because when a lay person is trained to a level at which they can make a useful contribution to research, they lose their unique ‘lay’ perspective. They conclude that we should not train lay people in research before involvement. Ives et al also conclude that we should not develop a collaborative approach to (...) PPI in conducting research. Both these conclusions are flawed. PPI does not always involve the lay person acquiring the same skills as a researcher, and even when it does, that person never loses their unique ‘lay’ perspective.PPI is a complex activity that is highly context dependent. There are many different kinds of involvement requiring different kinds of lay expertise. In many cases the lay person does not need to acquire research skills in order to be effective. They can make useful contributions without being ‘turned into a researcher’. The views of the lay person are complementary to those of the technical experts. PPI provides an insight into the interests and concerns of the participants and …. (shrink)

This article considers the Gibbs paradox and its implications for three definitions of entropy in statistical mechanics: the “classical” Boltzmann entropy ; the modified Boltzmann entropy that is usually proposed in response to the paradox ; and a generalized version of the latter. It is argued that notwithstanding a recent suggestion to the contrary, the paradox does imply that SB1 is not a satisfactory definition of entropy; SB2 is undermined by “second-order” versions of the paradox; and (...) SB2G solves the paradox but is not a satisfactory definition of entropy. (shrink)

The liberal international legal order faces a legitimacy crisis today that becomes visible with the recent anti-internationalist turn, the rise of populism and the recent Russian invasion of Ukraine. Either its authority or legitimacy has been tested many times over the last three decades. The article argues that this anti-internationalist trend may be read as a reaction against the neoliberal form taken by international law, not least over the last three decades. In uncovering the intricacies of international law’s legitimacy crisis, (...) the article uncovers the paradox of global constitutionalism: that its need to adopt a sectoral form of integration may cause a legitimacy gap/deficit because international authorities, resting their legitimacy primarily on instrumental grounds, may face problems in compensating for the legitimacy deficit caused by the erosion of domestic sovereignty and extending their legitimacy to non-instrumental grounds. This paradox has one necessary structural and two contingent content-related implications for domestic democracies: (1) it necessarily narrows down the regulatory space of nation-states; and this may in turn (2) impair democratic stability and solidarity, and (3) provide a fertile ground for populism. Drawing on Raz’s service conception, the article focuses on the interaction between international and domestic authorities and highlights the problematic aspects of the neoliberal constitutionalization of international law. (shrink)

Paradox Lost covers ten of philosophy’s most fascinating paradoxes, in which seemingly compelling reasoning leads to absurd conclusions. The following paradoxes are included: The Liar Paradox, in which a sentence says of itself that it is false. Is the sentence true or false? The Sorites Paradox, in which we imagine removing grains of sand one at a time from a heap of sand. Is there a particular grain whose removal converts the heap to a non-heap? The Puzzle (...) of the Self-Torturer, in which a series of seemingly rational choices has us accepting a life of excruciating pain, in exchange for millions of dollars. Newcomb’s Problem, in which we seemingly maximize our expected profit by taking an unknown sum of money, rather than taking the same sum plus $1000. The Surprise Quiz Paradox, in which a professor finds that it is impossible to give a surprise quiz on any particular day of the week... but also that if this is so, then a surprise quiz can be given on any day. The Two Envelope Paradox, in which we are asked to choose between two indistinguishable envelopes, and it is seemingly shown that each envelope is preferable to the other. The Ravens Paradox, in which observing a purple shoe provides evidence that all ravens are black. The Shooting Room Paradox, in which a deadly game kills 90% of all who play, yet each individual’s survival turns on the flip of a fair coin. Each paradox is clearly described, common mistakes are explored, and a clear, logical solution offered. Paradox Lost will appeal to professional philosophers, students of philosophy, and all who love intellectual puzzles. (shrink)

Philosophers often explain what could be the case in terms of what is, in fact, the case at one possible world or another. They may differ in what they take possible worlds to be or in their gloss of what is for something to be the case at a possible world. Still, they stand united by the threat of paradox. A family of paradoxes akin to the set-theoretic antinomies seem to allow one to derive a contradiction from apparently plausible (...) principles. Some of them concern the interaction between propositions and worlds, and they appear to afford the means to map classes of propositions into propositions – or, likewise, classes of worlds into worlds – in a one-to-one fashion that leads to contradiction. Yet another family of paradoxes threaten the view that whatever could exist does, in fact, exist, which is in line with modal realism, for example. This article aims to survey and identify the source of each family of paradoxes as well as to outline some responses to them. (shrink)

Whether we're buying a pair of jeans, ordering a cup of coffee, selecting a long-distance carrier, applying to college, choosing a doctor, or setting up a 401(k), everyday decisions ; both big and small ; have become increasingly complex due to the overwhelming abundance of choice with which we are presented. As Americans, we assume that more choice means better options and greater satisfaction. But beware of excessive choice: choice overload can make you question the decisions you make before you (...) even make them, it can set you up for unrealistically high expectations, and it can make you blame yourself for any and all failures. In the long run, this can lead to decision-making paralysis, anxiety, and perpetual stress. And, in a culture that tells us that there is no excuse for falling short of perfection when your options are limitless, too much choice can lead to clinical depression. In The Paradox of Choice, Barry Schwartz explains at what point choice ; the hallmark of individual freedom and self-determination that we so cherish ; becomes detrimental to our psychological and emotional well-being. In accessible, engaging, and anecdotal prose, Schwartz shows how the dramatic explosion in choice ; from the mundane to the profound challenges of balancing career, family, and individual needs ; has paradoxically become a problem instead of a solution. Schwartz also shows how our obsession with choice encourages us to seek that which makes us feel worse. By synthesizing current research in the social sciences, Schwartz makes the counter intuitive case that eliminating choices can greatly reduce the stress, anxiety, and busyness of our lives. He offers eleven practical steps on how to limit choices to a manageable number, have the discipline to focus on those that are important and ignore the rest, and ultimately derive greater satisfaction from the choices you have to make."--provided by publisher. (shrink)

According to Fisher, a hypothesis specifying a density function for X is falsified (at the level of significance ) if the realization of X is in the size- region of lowest densities. However, non-linear transformations of X can map low-density into high-density regions. Apparently, then, falsifications can always be turned into corroborations (and vice versa) by looking at suitable transformations of X (Neyman's Paradox). The present paper shows that, contrary to the view taken in the literature, this provides no (...) argument against a theory of statistical falsification. (shrink)

It is raining but you don’t believe that it is raining. Imagine silently accepting this claim. Then you believe both that it is raining and that you don’t believe that it is raining. This would be an ‘absurd’ thing to believe,yet what you believe might be true. Itmight be raining, while at the same time, you are completely ignorant of the state of the weather. But how can it be absurd of you to believe something about yourself that might be (...) true of you? This is Moore’s paradox as it occurs in thought. Solving the paradox consists in explaining why such beliefs are absurd. I give a survey of some of the main explanations. I largely deal with explanations of the absurdity of ‘omissive’ beliefs with contents of the form p & I don’t believe that p and of ‘commissive beliefs’ with contents of the form p & I believe that not-p as well as beliefs with contents of the form p & I don’t know that p. (shrink)

Emile Borel regards the Banach-Tarski Paradox as a reductio ad absurdum of the Axiom of Choice. Peter Forrest instead blames the assumption that physical space has a similar structure as the real numbers. This paper argues that Banach and Tarski's result is not paradoxical and that it merely illustrates a surprising feature of the continuum: dividing a spatial region into disjoint pieces need not preserve volume.

This paper provides a new solution to the epistemic paradox of belief-instability, a problem of rational choice which has recently received considerable attention (versions of the problem have been discussed by — among others — Tyler Burge, Earl Conee, and Roy Sorensen). The problem involves an ideally rational agent who has good reason to believe the truth of something of the form:[Ap] p if and only if it is not the case that I accept or believe p.

For centuries, the Sorites Paradox has spurred philosophers to think and argue about the problem of vagueness. This volume offers a guide to the paradox which is both an accessible survey and an exposition of the state of the art, with a chapter-by-chapter presentation of all of the main solutions to the paradox and of all its main areas of influence. Each chapter offers a gentle introduction to its topic, gradually building up to a final discussion of (...) some open problems. Students will find a comprehensive guide to the fundamentals of the paradox, together with lucid explanations of the challenges it continues to raise. Researchers will find exciting new ideas and debates on the paradox. (shrink)

McTaggart’s argument for the unreality of time, first published in 1908, set the agenda for 20th-century philosophy of time. Yet there is very little agreement on what it actually says—nobody agrees with the conclusion, but still everybody finds something important in it. This book presents the first critical overview of the last century of debate on what is popularly called "McTaggart’s Paradox". Scholars have long assumed that McTaggart’s argument stands alone and does not rely on any contentious ontological principles. (...) The author demonstrates that these assumptions are incorrect—McTaggart himself explicitly claimed his argument to be dependent on the ontological principles that form the basis of his idealist metaphysics. The result is that scholars have proceeded to understand the argument on the basis of their own metaphysical assumptions, duly arriving at very different interpretations. This book offers an alternative reading of McTaggart’s argument, and at the same time explains why other commentators arrive at their mutually incompatible interpretations. It will be of interest to students and scholars with an interest in the philosophy of time and other areas of contemporary metaphysics. (shrink)

Some philosophers understand epistemological skepticism as merely presenting a paradox to be solved, a paradox given rise to by some apparently forceful arguments. I argue that such a view needs to be justified, and that the best way to do so is to show that we cannot help seeing skepticism as obviously false. The obviousness (to us) of the falsity of skepticism is, I suggest, explained by the fact that we cannot live without knowledge-beliefs (a knowledge-belief about the (...) world is a belief that a person or a group of people know that p, where p is an empirical proposition about the world). I then go on to argue for the indispensability of knowledge-beliefs. The first line of argument appeals to the practical aspects of our employment of the concept of knowledge, and the second line of argument draws on some Davidsonian ideas concerning understanding and massive agreement. (shrink)

In The Socratic Paradox and Its Enemies, Roslyn Weiss argues that the Socratic paradoxes—no one does wrong willingly, virtue is knowledge, and all the virtues are one—are best understood as Socrates’ way of combating sophistic views: ...

It is argued that Yablo’s Paradox is not strictly paradoxical, but rather ‘ω-paradoxical’. Under a natural formalization, the list of Yablo sentences may be constructed using a diagonalization argument and can be shown to be ω-inconsistent, but nonetheless consistent. The derivation of an inconsistency requires a uniform fixed-point construction. Moreover, the truth-theoretic disquotational principle required is also uniform, rather than the local disquotational T-scheme. The theory with the local disquotation T-scheme applied to individual sentences from the Yablo list is (...) also consistent. (shrink)

In this paper, I advocate a value realist interpretation of Kant’s ethics by examining, in some detail, both Kant’s discussion of the grounding of the moral law in Groundwork II and his discussion of the “paradox of method” in the Critique of Practical Reason. On a plausible reading of both the Groundwork and second Critique, Kant maintains that human beings, and more generally, rational beings, have dignity or inner worth. We cognize through the moral law that our existence and (...) inner value is the objective ground of the law and that we are the “subject[s] of the moral law.” This dignity of rational beings is fundamental and irreducible. This qualifies as a distinctive kind of value realism. (shrink)

Events between which we have no epistemic reason to discriminate have equal epistemic probabilities. Bertrand’s chord paradox, however, appears to show this to be false, and thereby poses a general threat to probabilities for continuum sized state spaces. Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same (...) time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author’s proposed solution—a solution in the spirit of Bertrand’s, indeed—in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference. (shrink)

We explore the developmental paradox of false belief understanding. This paradox follows from the claim that young infants already have an understanding of false belief, despite the fact that they consistently fail the elicited-response false belief task. First, we argue that recent proposals to solve this paradox are unsatisfactory because they (i) try to give a full explanation of false belief understanding in terms of a single system, (ii) fail to provide psychological concepts that are sufficiently fine-grained (...) to capture the cognitive requirements for the various manifestations of false belief understanding, and (iii) ignore questions about system interaction. Second, we present a dual-system solution to the developmental paradox of false belief understanding that combines a layered model of perspective taking with an inhibition-selection-representation mechanism that operates on different levels. We discuss recent experimental findings that shed light on the interaction between these two systems, and suggest a number of directions for future research. (shrink)

From a perspective of multiculturalism, this paper aims to analyze Ang Lee’s Wedding Banquet and Brokeback Mountain by elaborating on the issues of sex/gender/identity in the hope of exploring the process and problematics of cultural formations in the era of globalization characterized by multiculturalism. Based on Judith Buthler’s deconstructive/postmodernist view of sex/gender/identity, the first part of this essay evaluates simultaneously both the positive and negative aspects of these two films; whereas Deleuze’s literary aesthetics of minor literature offers me a subtle (...) perspective on Ang Lee’s extraordinary achievement in creating a minoritarian artistic work that exposes the complexity of human psyche/desire, which constitutes the second part of this essay. In addition, both parts intend to reexamine, from a perspective of multiculturalism, how Ang Lee’s special micropolitics/aesthetics enables him to rewrite successfully Annie Proulx’s short story for the screen so as to create a globally popular American love story that not only distinguishes him from the mediocre Hollywood commercial romance film makers but also simultaneously brings him fame and profit. (shrink)

The Preface Paradox apparently shows that it is sometimes rational to believe logically incompatible propositions. In this paper, I propose a way out of the paradox based on the ideas of fallibilism and verisimilitude. More precisely, I defend the view that a rational inquirer can fallibly believe or accept a proposition which is false, or likely false, but verisimilar; and I argue that this view makes the Preface Paradox disappear. Some possible objections to my proposal, and an (...) alternative view of fallible belief, are briefly discussed in the final part of the paper. (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)

We regularly intentionally expose ourselves to fictions we take to be likely to elicit in us emotions we generally find unpleasant when prompted by actual states of affairs. This is the so-called “paradox of tragedy”. We contribute to solving the paradox of tragedy by denying that, when fiction-directed, most of these emotions are in themselves unpleasant. We first provide strong evidence that these emotions, such as fear, sadness, or pity, are often enjoyed when fiction-directed. We then advance an (...) explanation of what makes these fiction-directed emotions often not unpleasant, while their reality-directed counterparts are generally so. In the last section, we advance an explanation of what makes fiction-directed emotions often enjoyable, and argue that a complete solution to the paradox of tragedy should be pluralist. (shrink)

The preface paradox strikes us as puzzling because we feel that if a person holds a set of inconsistent beliefs, i.e. beliefs such that at least one of them must be correct, then he should give at least one of them up. Equally, if a person's belief is rational, then he has a right to hold it. Yet the preface example is prima facie a case in which a person holds an inconsistent set of beliefs each of which is (...) rational, and thus a case in which that person has a duty to relinquish what he has a right to keep. (shrink)