Is the basic mechanism behind presupposition projection fundamentally asymmetric or symmetric? This is a basic question for the theory of presupposition, which also bears on broader issues concerning the source of asymmetries observed in natural language: are these simply rooted in superficial asymmetries of language use— language use unfolds in time, which we experience as fundamentally asymmetric— or can they be, at least in part, directly referenced in linguistic knowledge and representations? In this paper we aim to make progress on (...) these questions by exploring presupposition projection across conjunction, which has typically been taken as a central piece of evidence that presupposition projection is asymmetric. As a number of authors have recently pointed out, however, whether or not this conclusion is warranted is not clear once we take into account independent issues of redundancy. Building on previous work by Chemla & Schlenker (2012) and Schwarz (2015), we approach this question experimentally by using an inference task which controls for redundancy and presupposition suspension. We find strong evidence for left-to-right filtering across conjunctions, but no evidence for right-to-left filtering, suggesting that, at least as a default, presupposition projection across conjunction is indeed asymmetric. (shrink)

When should you engage with difficult arguments against your cherished controversial beliefs? The primary conclusion of this book is that your obligations to engage with counterarguments are more limited than is often thought. In some standard situations, you shouldn't engage with difficult counterarguments and, if you do, you shouldn't engage with them open-mindedly. This conclusion runs counter to aspects of the Millian political tradition and political liberalism, as well as what people working in informal logic tend to say about argumentation. (...) -/- Not all misleading arguments wear their flaws on their sleeve. Each step of a misleading argument might seem compelling and you might not be able to figure out what's wrong with it. Still, even if you can't figure out what's wrong with an argument, you can know that it's misleading. One way to know that an argument is misleading is, counterintuitively, to lack expertise in the methods and evidence-types employed by the argument. When you know that a counterargument is misleading, you shouldn't engage with it open-mindedly and sometimes shouldn't engage with it at all. You shouldn't engage open-mindedly because you shouldn't be willing to reduce your confidence in response to arguments you know are misleading. And you sometimes shouldn't engage closed-mindedly, because to do so can be manipulative or ineffective. -/- In making this case, Jeremy Fantl discusses echo chambers and group polarization, the importance in academic writing of a sympathetic case for the opposition, the epistemology of disagreement, the account of open-mindedness, and invitations to problematic academic speakers. (shrink)

It's often said that according to deflationary theories of truth, truth is not a ‘substantial’ property. While this is a fine slogan, it is far from transparent what deflationists mean (or ought to mean) in saying that truth is ‘insubstantial’. Focusing so intently upon the concept of truth and the word ‘true’, I argue, deflationists and their critics have been insufficiently attentive to a host of metaphysical complexities that arise for deflationists in connection with the property of truth. My aim (...) is to correct several misunderstandings as to what deflationists are after here—including some harboured by deflationists themselves—and to offer an account of the commitments about truth's nature that they ought to undertake. In developing this account, I focus particularly upon the issue of what metaphysics of truth a Horwichian minimalist ought to adopt. (shrink)

In this paper, I discuss two concerns for pluralist truth theories: a concern about a key detail of these theories and a concern about their viability. The detail-related concern is that pluralists have relied heavily upon the notion of a domain, but it is not transparent what they take domains to be. Since the notion of a domain has been present in philosophy for some time, it is important for many theorists, not only truth pluralists, to be clear on what (...) domains are and what work they can do. The viability-related concern is that it’s not clear how a pluralist truth theory could explain the truth-conditions of mixed atomic propositions. To address this concern, truth pluralists should recognize something to which they have not been sufficiently attentive: that some atomic propositions belong to more than one domain. But, recognizing this requires rethinking the relationships between the nature of propositions, their membership in domains, and their truth. I address these issues and propose an understanding of them that is preferable to the best existing account of them, that offered by Michael Lynch. (shrink)

Philosophers of science have insisted that evidence of underlying mechanisms is required to support claims about the effects of medical interventions. Yet evidence about mechanisms does not feature on dominant evidence-based medicine “hierarchies.” After arguing that only inferences from mechanisms (“mechanistic reasoning”)—not mechanisms themselves—count as evidence, I argue for a middle ground. Mechanistic reasoning is not required to establish causation when we have high-quality controlled studies; moreover, mechanistic reasoning is more problematic than has been assumed. Yet where the problems can (...) be overcome, mechanistic reasoning can and should be used as evidence. (shrink)

In this paper, we offer a brief, critical survey of contemporary work on truth. We begin by reflecting on the distinction between substantivist and deflationary truth theories. We then turn to three new kinds of truth theory—Kevin Scharp's replacement theory, John MacFarlane's relativism, and the alethic pluralism pioneered by Michael Lynch and Crispin Wright. We argue that despite their considerable differences, these theories exhibit a common "pluralizing tendency" with respect to truth. In the final section, we look at the underinvestigated (...) interface between metaphysical and formal truth theories, pointing to several promising questions that arise here. (shrink)

This paper provides a method for characterizing space events using the framework of conceptual spaces. We focus specifically on estimating and ranking the likelihood of collisions between space objects. The objective is to design an approach for anticipatory decision support for space operators who can take preventive actions on the basis of assessments of relative risk. To make this possible our approach draws on the fusion of both hard and soft data within a single decision support framework. Contextual data is (...) also taken into account, for example data about space weather effects, by drawing on the Space Domain Ontologies, a large system of ontologies designed to support all aspects of space situational awareness. The framework is coupled with a mathematical programming scheme that frames a mathematically optimal approach for decision support, providing a quantitative basis for ranking potential for collision across multiple satellite pairs. The goal is to provide the broadest possible information foundation for critical assessments of collision likelihood. (shrink)

Functionalism about truth, or alethic functionalism, is one of our most promising approaches to the study of truth. In this chapter, I chart a course for functionalist inquiry that centrally involves the empirical study of ordinary thought about truth. In doing so, I review some existing empirical data on the ways in which we think about truth and offer suggestions for future work on this issue. I also argue that some of our data lend support to two kinds of pluralism (...) regarding ordinary thought about truth. These pluralist views, as I show, can be straightforwardly integrated into the broader functionalist framework. The main result of this integration is that some unexplored metaphysical views about truth become visible. To close the chapter, I briefly respond to one of the most serious objections to functionalism, due to Cory Wright. (shrink)

This is the first Italian translation of Bentham’s “Deontology”. The translation goes with a rather extended apparatus meant to provide the reader with some information on Bentham’s ethical theory's own context. Some room is made for so-called forerunners of Utilitarianism, from the consequentialist-voluntarist theology of Leibniz, Malebranche, John Gay, Thomas Brown and William Paley to Locke and Hartley's incompatible associationist theories. After the theoretical context, also the real-world context is documented, from Bentham’s campaigns against the oppression of women and cruelty (...) to animals to his projects of political reform. Another section illustrates the ideas of Bentham's followers as well as the objections raised by nineteenth- and twentieth-century critics of utilitarianism. -/- Table of contents I. BEFORE THE TEXT 1. Bentham’s legacy 2. Bentham the Reformer 3. Bentham and the enlightenment project of a reformed morality 4. The principle of utility 5. Deontology or private morality 6. Utilitarianism as «eudemonologism» -/- II. TEXT Deontology I. Deontology: theoretical II. Deontology: practical III. -/- III. CO-TEXT 1. Biography 2. The reform of legislation 3. The Philosophic Radicals between the French revolution and the Industrial revolution -/- IV. CONTEXT 1. Forerunners of Utilitarianism 2. Psychological associationism 3. The oppression of women 4. Cruelty against animals 5. Parsimony and industry in Hogarth’s prints 6. Followers 6.1. John Stuart Mill 6.2. Henry Sidgwick 7. Critics 7.1. Romantic, conservative, and Christian critics 7.2. Socialist critics 8. Consequences: neo-utilitarianism 9. Consequences: critics of utilitarianism 9.1. Deontological critics 9.2. Perfectionists critics 9.3. Sceptical critics 10. Bentham’s legacy for contemporary ethics, by Bikhu Parekh Bibliography Lexicon Index of names and concepts -/- READER'S GUIDE . (shrink)

Unlike its friendly cousin the placebo effect, the nocebo effect (the effect of expecting a negative outcome) has been almost ignored. Epistemic and ethical confusions related to its existence have gone all but unnoticed. Contrary to what is often asserted, adverse events following from taking placebo interventions are not necessarily nocebo effects; they could have arisen due to natural history. Meanwhile, ethical informed consent (in clinical trials and clinical practice) has centred almost exclusively on the need to inform patients about (...) intervention risks with patients to preserve their autonomy. Researchers have failed to consider the harm caused by the way in which the information is conveyed. In this paper, I argue that the magnitude of nocebo effects must be measured using control groups consisting of untreated patients. And, because the nocebo effect can produce harm, the principle of non-maleficence must be taken into account alongside autonomy when obtaining (ethical) informed consent and communicating intervention risks with patients. (shrink)

Most people who defend physician-assisted death (PAD) endorse the Joint View, which holds that two conditions—autonomy and welfare—must be satisfied for PAD to be justified. In this paper, we defend an Autonomy Only view. We argue that the welfare condition is either otiose on the most plausible account of the autonomy condition, or else is implausibly restrictive, particularly once we account for the broad range of reasons patients cite for desiring PAD, such as “tired of life” cases. Moreover, many of (...) the common objections to an Autonomy Only view fail once we understand the extent of the autonomy condition’s requirements—in particular, the importance of one’s values for autonomous choices. If our view is correct, then the scope of permissible PAD is broader than is currently accepted in both the philosophical literature and the law, and therefore poses an important challenge to this widely accepted view on justified PAD. (shrink)

Recent defenders of the divine command theory like Adams and Alston have confronted the Euthyphro dilemma by arguing that although God’s commands make right actions right, God is morally perfect and hence would never issue unjust or immoral commandments. On their view, God’s nature is the standard of moral goodness, and God’s commands are the source of all obligation. I argue that this view of divine goodness fails because it strips God’s nature of any features that would make His goodness (...) intelligible. An adequate solution to the Euthyphro dilemma may require that God be constrained by a standard of goodness that is external to Himself -- itself a problematic proposal for many theists. (shrink)

Conditional excluded middle (CEM) is the following principe of counterfactual logic: either, if it were the case that φ, it would be the case that ψ, or, if it were the case that φ, it would be the case that not-ψ. I will first show that CEM entails the identity of indiscernibles, the falsity of physicalism, and the failure of the modal to supervene on the categorical and of the vague to supervene on the precise. I will then argue that (...) we should accept these startling conclusions, since CEM is valid. (shrink)

The Negation Problem states that expressivism has insufficient structure to account for the various ways in which a moral sentence can be negated. We argue that the Negation Problem does not arise for expressivist accounts of all normative language but arises only for the specific examples on which expressivists usually focus. In support of this claim, we argue for the following three theses: 1) a problem that is structurally identical to the Negation Problem arises in non-normative cases, and this problem (...) is solved once the hidden quantificational structure involved in such cases is uncovered; 2) the terms ‘required’, ‘permissible’, and ‘forbidden’ can also be analyzed in terms of hidden quantificational structure, and the Negation Problem disappears once this hidden structure is uncovered; 3) the Negation Problem does not arise for normative language that has no hidden quantificational structure. We conclude that the Negation Problem is not really a problem about expressivism at all but is rather a feature of the quantificational structure of the required, permitted, and forbidden. (shrink)

Objectives -/- Surveys in various countries suggest 17% to 80% of doctors prescribe ‘placebos’ in routine practice, but prevalence of placebo use in UK primary care is unknown. Methods -/- We administered a web-based questionnaire to a representative sample of UK general practitioners. Following surveys conducted in other countries we divided placebos into ‘pure’ and ‘impure’. ‘Impure’ placebos are interventions with clear efficacy for certain conditions but are prescribed for ailments where their efficacy is unknown, such as antibiotics for suspected (...) viral infections. ‘Pure’ placebos are interventions such as sugar pills or saline injections without direct pharmacologically active ingredients for the condition being treated. We initiated the survey in April 2012. Two reminders were sent and electronic data collection closed after 4 weeks. Results -/- We surveyed 1715 general practitioners and 783 (46%) completed our questionnaire. Our respondents were similar to those of all registered UK doctors suggesting our results are generalizable. 12% (95% CI 10 to 15) of respondents used pure placebos while 97% (95% CI 96 to 98) used impure placebos at least once in their career. 1% of respondents used pure placebos, and 77% (95% CI 74 to 79) used impure placebos at least once per week. Most (66% for pure, 84% for impure) respondents stated placebos were ethical in some circumstances. Conclusion and implications -/- Placebo use is common in primary care but questions remain about their benefits, harms, costs, and whether they can be delivered ethically. Further research is required to investigate ethically acceptable and cost-effective placebo interventions. (shrink)

Having the emotion of pride requires taking oneself to stand in some special relation to the object of pride. According to agency accounts of this pride relation, the self and the object of pride are suitably related just in case one is morally responsible for the existence or excellence of the object of one's pride. I argue that agency accounts fail. This argument provides a strong prima facie defence of an alternate account of pride, according to which the self and (...) the object of pride are suitably related just in case one's relation to the object of pride indicates that one's life accords with some of one's personal ideals. I conclude that the pride relation, though distinct from the relation of moral responsibility, is nonetheless a relation of philosophical interest that merits further attention. (shrink)

Proponents of the rule of law argue about whether that ideal should be conceived formalistically or in terms of substantive values. Formalistically, the rule of law is associated with principles like generality, clarity, prospectivity, consistency, etc. Substantively, it is associated with market values, with constitutional rights, and with freedom and human dignity. In this paper, I argue for a third layer of complexity: the procedural aspect of the rule of law; the aspects of rule-of-law requirements that have to do with (...) "natural Justice" or "procedural due process." These I believe have been neglected in the jurisprudential literature devoted specifically to the idea of the rule of law and they deserve much greater emphasis. Moreover procedural values go beyond elementary principles like the guarantee of an unbiased tribunal or the opportunity to present and confront evidence. They include the right to argue in a court about what the law is and what its bearing should be on one's situation. The provision that law makes for argument is necessarily unsettling, and so this emphasis on the procedural aspect highlights the point predictability should not be regarded as the be-all and end-all of the rule of law. (shrink)

We defend the thesis that every necessarily true proposition is always true. Since not every proposition that is always true is necessarily true, our thesis is at odds with theories of modality and time, such as those of Kit Fine and David Kaplan, which posit a fundamental symmetry between modal and tense operators. According to such theories, just as it is a contingent matter what is true at a given time, it is likewise a temporary matter what is true at (...) a given possible world; so a proposition that is now true at all worlds, and thus necessarily true, may yet at some past or future time be false in the actual world, and thus not always true. We reconstruct and criticize several lines of argument in favor of this picture, and then argue against the picture on the grounds that it is inconsistent with certain sorts of contingency in the structure of time. (shrink)

This book offers a distinctive treatment of Hayek's ideas as a "research program". It presents a detailed account of aspects of Hayek's intellectual development and of problems that arise within his work, and then offers some broad suggestions as to ways in which the program initiated in his work might be developed further. The book discusses how Popper and Lakatos' ideas about "research programs" might be applied within political theory. There then follows a distinctive presentation of Hayek's intellectual development up (...) to The Road to Serfdom, together with critical engagement with his later ideas. The discussion draws on a full range of his writings, makes use of some neglected earlier work on social theory and law, and also draws on archival material. This book should appeal to anyone with an interest in Hayek's work, as well as to those with a concern for twentieth century intellectual history. (shrink)

The purpose of this note is to contrast a Cantorian outlook with a non-Cantorian one and to present a picture that provides support for the latter. In particular, I suggest that: i) infinite hyperreal numbers are the (actual, determined) infinite numbers, ii) ω is merely potentially infinite, and iii) infinitesimals should not be used in the di Finetti lottery. Though most Cantorians will likely maintain a Cantorian outlook, the picture is meant to motivate the obvious nature of the non-Cantorian outlook.

In this dissertation, I argue that we should be pluralists about truth and in turn, eliminativists about the property Truth. Traditional deflationists were right to suspect that there is no such property as Truth. Yet there is a plurality of pluralities of properties which enjoy defining features that Truth would have, were it to exist. So although, in this sense, truth is plural, Truth is non-existent. The resulting account of truth is indebted to deflationism as the provenance of the suspicion (...) that Truth doesn't exist. But it would be hasty to simply classify the account as deflationary. Each of the 'truth-like' properties that it recognizes is highly substantive--that is, complex and explanatorily potent. So we should deflate Truth by recognizing that it doesn't exist, but we should also recognize that one of the most vital tasks in truth theory is to discover the essences of the many truth-like properties. My aim here is to do precisely this. (shrink)

Much of the philosophical attention directed to pride focuses on the normative puzzle of determining how pride can be both a central vice and a central virtue. But there is another puzzle, a descriptive puzzle, of determining how the emotion of pride and the character trait of pride relate to each other. A solution is offered to the descriptive puzzle that builds upon the accounts of Hume and Gabriele Taylor, but avoids the pitfalls of those accounts. In particular, the emotion (...) and the trait correspond to two employments of personal ideals: personal ideals as standards of self-assessment and personal ideals as practical guides in one’s deliberation and related activities. This account, in turn, provides a framework for solving the normative puzzle. (shrink)

This paper investigates a generalization of Boolean algebras which I call agglomerative algebras. It also outlines two conceptions of propositions according to which they form an agglomerative algebra but not a Boolean algebra with respect to conjunction and negation.

Waldron argues that recent treatments of justice have neglected reasonable disagreement about justice itself. So Waldron offers a procedural account of democratic legitimacy, in which contending views of justice can be brought together to arrive at a decision without deciding which one is correct. However, if there is reasonable disagreement about everything, then this includes his preferred account of legitimacy. On the other hand, it is not clear that Waldron is right to count so much disagreement as reasonable. But then (...) Waldron has not undermined the view he opposes in which some prevailing disagreement about justice is held to be unreasonable. (shrink)

We often speak as if there are merely possible people—for example, when we make such claims as that most possible people are never going to be born. Yet most metaphysicians deny that anything is both possibly a person and never born. Since our unreflective talk of merely possible people serves to draw non-trivial distinctions, these metaphysicians owe us some paraphrase by which we can draw those distinctions without committing ourselves to there being merely possible people. We show that such paraphrases (...) are unavailable if we limit ourselves to the expressive resources of even highly infinitary first-order modal languages. We then argue that such paraphrases are available in higher-order modal languages only given certain strong assumptions concerning the metaphysics of properties. We then consider alternative paraphrase strategies, and argue that none of them are tenable. If talk of merely possible people cannot be paraphrased, then it must be taken at face value, in which case it is necessary what individuals there are. Therefore, if it is contingent what individuals there are, then the demands of paraphrase place tight constraints on the metaphysics of properties: either (i) it is necessary what properties there are, or (ii) necessarily equivalent properties are identical, and having properties does not entail even possibly being anything at all. (shrink)

In this paper, I present a puzzle involving special relativity and the random selection of real numbers. In a manner to be specified, darts thrown later hit reals further into a fixed well-ordering than darts thrown earlier. Special relativity is then invoked to create a puzzle. I consider four ways of responding to this puzzle which, I suggest, fail. I then propose a resolution to the puzzle, which relies on the distinction between the potential infinite and the actual infinite. I (...) suggest that certain structures, such as a well-ordering of the reals, or the natural numbers, are examples of the potential infinite, whereas infinite integers in a nonstandard model of arithmetic are examples of the actual infinite. (shrink)

Abstract Hybrid languages are introduced in order to evaluate the strength of “minimal” mereologies with relatively strong frame definability properties. Appealing to a robust form of nominalism, I claim that one investigated language Hm is maximally acceptable for nominalistic mereology. In an extension Hgem of Hm, a modal analog for the classical systems of Leonard and Goodman (J Symb Log 5:45–55, 1940) and Lesniewski (1916) is introduced and shown to be complete with respect to 0- deleted Boolean algebras. We characterize (...) the formulas of first-order logic invariant for Hgem-bisimulations. (shrink)

This paper is a study of higher-order contingentism – the view, roughly, that it is contingent what properties and propositions there are. We explore the motivations for this view and various ways in which it might be developed, synthesizing and expanding on work by Kit Fine, Robert Stalnaker, and Timothy Williamson. Special attention is paid to the question of whether the view makes sense by its own lights, or whether articulating the view requires drawing distinctions among possibilities that, according to (...) the view itself, do not exist to be drawn. The paper begins with a non-technical exposition of the main ideas and technical results, which can be read on its own. This exposition is followed by a formal investigation of higher-order contingentism, in which the tools of variable-domain intensional model theory are used to articulate various versions of the view, understood as theories formulated in a higher-order modal language. Our overall assessment is mixed: higher-order contingentism can be fleshed out into an elegant systematic theory, but perhaps only at the cost of abandoning some of its original motivations. (shrink)

In The Problem of Political Authority, Michael Huemer argues that the contractarian and consequentialist groundings of political authority are unsuccessful, and, in fact, that there are no adequate contemporary accounts of political authority. As such, the modern state is illegitimate and we have reasons to affirm political anarchism. We disagree with Huemer’s conclusion. But we consider Huemer’s critiques of contractarianism and consequentialism to be compelling. Here we will juxtapose, alongside Huemer’s critiques, a theistic account of political authority from Nicholas Wolterstorff’s (...) book The Mighty and the Almighty. We think that Wolterstorff’s model does better than contractarianism and consequentialism at answering Huemer’s critiques. We also think that an abductive basis for God’s existence emerges from the inadequate authority accounts that Huemer surveys. (shrink)

Slurring is a kind of hate speech that has various effects. Notable among these is variable offence. Slurs vary in offence across words, uses, and the reactions of audience members. Patterns of offence aren’t adequately explained by current theories. We propose an explanation based on the unjust power imbalance that a slur seeks to achieve. Our starting observation is that in discourse participants take on discourse roles. These are typically inherited from social roles, but only exist during a discourse. A (...) slurring act is a speech-act that alters the discourse roles of the target and speaker. By assigning discourse roles the speaker unjustly changes the power balance in the dialogue. This has a variety of effects on the target and audience. We show how these notions explain all three types of offence variation. We also briefly sketch how a role and power theory can help explain silencing and appropriation. Explanatory power lies in the fact that offence is correlated with the perceived unjustness of the power imbalance created. (shrink)

In this paper, I suggest that infinite numbers are large finite numbers, and that infinite numbers, properly understood, are 1) of the structure omega + (omega* + omega)Ө + omega*, and 2) the part is smaller than the whole. I present an explanation of these claims in terms of epistemic limitations. I then consider the importance, part of which is demonstrating the contradiction that lies at the heart of Cantorian set theory: the natural numbers are too large to be counted (...) by any finite number, but too small to be counted by any infinite number – there is no number of natural numbers. (shrink)

Warranting further examination is how the nascent philosophical tradition initially spread to this region from its Ionian provenance. Despite numerous ancient attestations that Parmenides of Elea was influenced, or even directly instructed, by the Ionian-born Xenophanes, many modern scholars remain skeptical of this historical association. The extent of this skepticism ranges from cautious uncertainty to outright denial of any historical plausibility. The skeptical grounds similarly vary, from distrusting the historical veracity of late and/or perhaps biased commentators, to understanding these thinkers (...) as involved in radically different projects. This essay aims to challenge the skeptical position, and establish a direct link disseminating Ionian philosophy to Magna Graecia via Xenophanes and Parmenides. The argument is straightforward. First, the ancient geographical and temporal evidence is noted, establishing that it was possible for Parmenides to have been influenced and/or taught by Xenophanes. Next, the metaphysical and epistemological parallels between these thinkers are considered. Despite notable differences, on balance, these close parallels suggest against the skeptical view, making it quite plausible to impute a direct intellectual link between these thinkers. Third, I consider ancient claims that both thinkers were engaging with religious topics, offering a sort of “rational theology.” This evidence for a close intellectual relationship between these thinkers has been entirely ignored by modern scholars, and orthodox interpretative models cannot readily provide a charitable explanation for them. However, by reconsidering the theistic content in Parmenides’s poem, a new interpretative approach is revealed which can. Once this evidence is considered in its totality, the case for imputing a close and direct intellectual heritage from Xenophanes to Parmenides proves quite substantial. (shrink)

Philosophy and Phenomenological Research, EarlyView.

Context: The infinite has long been an area of philosophical and mathematical investigation. There are many puzzles and paradoxes that involve the infinite. Problem: The goal of this paper is to answer the question: Which objects are the infinite numbers (when order is taken into account)? Though not currently considered a problem, I believe that it is of primary importance to identify properly the infinite numbers. Method: The main method that I employ is conceptual analysis. In particular, I argue that (...) the infinite numbers should be as much like the finite numbers as possible. Results: Using finite numbers as our guide to the infinite numbers, it follows that infinite numbers are of the structure w + (w* + w) a + w*. This same structure also arises when a large finite number is under investigation. Implications: A first implication of the paper is that infinite numbers may be large finite numbers that have not been investigated fully. A second implication is that there is no number of finite numbers. Third, a number of paradoxes of the infinite are resolved. One change that should occur as a result of these findings is that “infinitely many” should refer to structures of the form w + (w* + w) a + w*; in contrast, there are “indefinitely many” natural numbers. Constructivist content: The constructivist perspective of the paper is a form of strict finitism. (shrink)

We present and discuss a counterexample to the following plausible principle: if you know that a coin is fair, and for all you know it is going to be flipped, then for all you know it will land tails.

This essay develops a framework for understanding what I call the ethics of reflexivity, that is, the norms that govern attitudes and actions with respect to one’s own worth. I distinguish five central aspects of the reflexive commitment to living in accordance with one’s personal ideals: the extent to which and manner in which one regards oneself from an evaluative point of view, the extent to which one cares about receiving the respect of others, the degree to which one interprets (...) one’s personal ideals in an individualistic or collective manner, the degree to which one’s commitment to living in accordance with one’s personal ideals is rigid or flexible, and the worthiness of one’s personal ideals. This framework, I argue, illuminates the nature and moral significance of virtuous and vicious forms of the character trait of pride. (shrink)

A multiverse is comprised of many universes, which quickly leads to the question: How many universes? There are either finitely many or infinitely many universes. The purpose of this paper is to discuss two conceptions of infinite number and their relationship to multiverses. The first conception is the standard Cantorian view. But recent work has suggested a second conception of infinite number, on which infinite numbers behave very much like finite numbers. I will argue that that this second conception of (...) infinite number is the correct one, and analyze what this means for multiverses. (shrink)

In a recent paper, Sylvia Wenmackers and Leon Horsten discuss how the concept of a fair infinite lottery can best be extended to denumerably infinite lotteries. Their paper uses and builds on the alpha-theory of Vieri Benci and Mauro Di Nasso. The purpose of this paper is to demonstrate a potential problem for alpha-theory.

At some point in the future – perhaps within the next few decades – it will be possible for foetuses to develop completely outside the womb. Ectogenesis, as this technology is called, raises substantial issues for the abortion debate. One such issue is that it will become possible for a woman to have an abortion, in the sense of having the foetus removed from her body, but for the foetus to be kept alive. We argue that while there is a (...) right to an abortion, there are reasons to doubt that there is a right to the death of the foetus. Our strategy in this essay is to consider and reject three arguments in favour of this latter right. The first claims that women have a right not to be biological mothers, the second that women have a right to genetic privacy, and the third that a foetus is one's property. Furthermore, we argue that it follows from rejecting the third claim that genetic parents also lack a right to the destruction of cryopreserved embryos used for in vitro fertilization. The conclusion that a woman possesses no right to the death of the foetus builds upon the claims that other pro-choice advocates, such as Judith Jarvis Thomson, have made. (shrink)

In this article, I argue that it is impossible to complete infinitely many tasks in a finite time. A key premise in my argument is that the only way to get to 0 tasks remaining is from 1 task remaining, when tasks are done 1-by-1. I suggest that the only way to deny this premise is by begging the question, that is, by assuming that supertasks are possible. I go on to present one reason why this conclusion (that supertasks are (...) impossible) is important, namely that it implies a new verdict on a decision puzzle propounded by Jeffrey Barrett and Frank Arntzenius. (shrink)

In this paper, two concepts of completing an infinite number of tasks are considered. After discussing supertasks, equisupertasks are introduced. I suggest that equisupertasks are logically possible.

When two omnipotent beings are randomly and sequentially selecting positive integers, the being who selects second is almost certain to select a larger number. I then use the relativity of simultaneity to create a paradox by having omnipotent beings select positive integers in different orders for different observers.

What is the role of affective experience in explaining how our desires provide us with reasons for action? When we desire that p, we are thereby disposed to feel attracted to the prospect that p, or to feel averse to the prospect that not-p. In this paper, we argue that affective experiences – including feelings of attraction and aversion – provide us with reasons for action in virtue of their phenomenal character. Moreover, we argue that desires provide us with reasons (...) for action only insofar as they are dispositions to have affective experiences. On this account, affective experience has a central role to play in explaining how desires provide reasons for action. (shrink)

The development of possible worlds semantics for modal claims has led to a more general application of that theory as a complete semantics for various formal and natural languages, and this view is widely held to be an adequate (philosophical) interpretation of the model theory for such languages. We argue here that this view generates a self-referential inconsistency that indicates either the falsity or the incompleteness of PWS.

In Van Cleve's "Problems from Kant," it is suggested that his interpretation of Kant's metaphysics resolves the problem of "The Neglected Alternative"--the worry that Kant failed to consider that space and time, while perhaps necessary for sensible intuition, could also be objectively real in-themselves. However, it is far from clear how Van Cleve is supposed to have solved this objection. This paper examines why Van Cleve might have thought the problem resolved on his view, and argues that there is no (...) reason to think the problem has in fact been resolved. (shrink)

The primary interpretative challenge for understanding Parmenides’ poem revolves around explaining both the meaning of, and the relationship between, its two primary sections: a) the positively endorsed metaphysical arguments which describe some unified, unchanging, motionless, and eternal “reality”, and b) the ensuing cosmology, which incorporates the very principles explicitly denied in Aletheia. I will refer to this problem as the “A-D Paradox.” I advocate resolving this paradoxical relationship by reading Parmenides’ poem as a ring-composition, and incorporating a modified version of (...) Palmer’s modal interpretation of Aletheia. On my interpretation, Parmenides’ thesis in Aletheia is not a counter-intuitive description of how all the world must truly be, but rather a radical rethinking of divine nature. Understanding Aletheia in this way, the ensuing “cosmology” can be straightforwardly rejected as an exposition of how traditional, mythopoetic accounts have misled mortals in their understanding of divinity. Not only does this interpretative view provide a resolution to the A-D Paradox, it offers a more holistic account of the poem by making the opening lines of introduction integral to understanding Parmenides’ message. By setting forth its own unacceptable fiction, paralleling the elements of the Doxa in a ring-composition, the Proem simultaneously establishes the scope of the ensuing inquiry, and its target. Maintaining Parmenides’ historical position as the “father of metaphysics,” the narrative that he advanced a strictly secular account of all reality is challenged. Instead, Parmenides is best understood as further advancing Xenophanes’ criticisms of traditional religion, an intellectual relationship which the ancient testimonia strongly supports. (shrink)

Most philosophers writing on the ethics of war endorse “reductivist individualism,” a view that holds both that killing in war is subject to the very same principles of ordinary morality ; and that morality concerns individuals and their rights, and does not treat collectives as having any special status. I argue that this commitment to individualism poses problems for this view in the case of national defense. More specifically, I argue that the main strategies for defending individualist approaches to national (...) defense either fail by their own lights or yield deeply counterintuitive implications. I then offer the foundations for a collectivist approach. I argue that such an approach must do justice to the collective goods that properly constituted states make possible and protect through certain acts of defensive war; and that any such picture of national defense must make room for some form of national partiality. (shrink)