One of the most influential arguments for realism about mathematical objects is the indispensability argument. Simply put, this is the argument that insofar as we are committed to the existence of the physical objects existentially quantified over in our best scientific theories, we are also committed to the mathematical objects existentially quantified over in these theories. Following the Quine–Putnam formulation of the indispensability argument, some proponents of the indispensability argument have made the mistake of taking confirmational holism to be an (...) essential premise of the argument. In this paper, I consider the reasons philosophers have taken confirmational holism to be essential to the argument and argue that, contrary to the traditional view, confirmational holism is dispensable. (shrink)

Quinean Ontological Naturalism addresses the question “What is there?” Advocates of the view maintain that we can answer this question by applying Quine’s criterion of ontological commitment to our best scientific theories. In this paper, I discuss two major objections that are commonly offered to this view, what I call the “Paraphrase Objection” and “First Philosophy Objection”. I argue that these objections arise from a common uncharitable characterization of the Quinean Ontological Naturalist’s project that fails to distinguish two distinct roles (...) for Quine’s Criterion, a descriptive role and a normative role. The objections target the descriptive role, but only the normative role is important to Quinean Ontological Naturalism. (shrink)

In ethical discourse, it is common practice to distinguish between normative commitments and descriptive commitments. Normative commitments reflect what a person ought to be committed to, whereas descriptive commitments reflect what a person actually is committed to. While the normative/descriptive distinction is widely accepted as a way of talking about ethical commitments, philosophers have missed this distinction in discussing ontological commitments. In this paper, I distinguish between descriptive ontological commitments and normative ontological commitments and discuss several significant benefits of recognizing (...) this distinction. I argue that just as the normative/descriptive distinction is important for fruitful ethical discourse, so too is it important for fruitful discourse concerning our ontological commitments. And, it constitutes a significant step towards resolving some prominent debates concerning our ontological commitments. (shrink)

Some novel solutions to problems in mathematics and philosophy involve employing schemas rather than quantified expressions to formulate certain propositions. Crucial to these solutions is an insistence that schematic generality is distinct from quantificational generality. Although many concede that schemas and quantified expressions function differently, the dominant view appears to be that the generality expressed by the former is ultimately reducible to the latter. In this paper, I argue against this view, which I call the 'Reductionist view'. But instead of (...) focusing on the difference between schemas and quantified expressions in formal systems, as most proponents of schemas have done, I focus on the difference between their supposed linguistic correlates, i.e., any statements and every-statements. Drawing insights from prominent accounts of the difference between these kinds of statements, I develop an alternative account. I argue that this account is not only preferable in its own right but it also supplies a response to the Reductionist view. (shrink)

Global warming presents challenges to utilitarianism. Its structural features seem to suggest that individuals have no moral obligations to take steps to reduce their carbon footprints. For those who find this to be an unacceptable result, Jamieson proposes an alternative. He argues that utilitarians should embrace a version of virtue ethics. They should embrace what he calls ‘green virtues’. In this article, I argue that Jamieson's proposal does not adequately address the ethical challenges that global warming poses for utilitarianism. I (...) propose an alternative. Rather than aiming to inculcate green virtues, we should be aiming to inculcate a certain social identity: a green identity. Not only is this approach more in keeping with utilitarianism, but recent research in the social sciences also suggests that it is much more likely to result in an impactful reduction in global emissions. (shrink)

Global warming is a very complex collective harm. While various models have been proposed to assign moral responsibility in such cases, global warming presents an additional problem. The complexity of the climate system gives rise to ineliminable indeterminacy, which makes it impossible to determine the extent to which any particular emissions contribute to this collective harm. This indeterminacy poses an obstacle to assigning moral responsibility to individuals. To overcome this obstacle, I propose adopting a supervaluationist approach. This approach has several (...) benefits. Among other things, it supplies a framework for assigning moral responsibility that handles indeterminacy that commonly arises when dealing with complex, global collective-harm scenarios. (shrink)

It is common in metaphysical discourse to make claims like “Everything is self-identical” in which “everything” is intended to range over everything. This sort of “unrestricted” generality appears central to metaphysical discourse. But there is debate whether such generality, which appears to involve quantification over an all-inclusive domain, is even meaningful. To address this concern, Shaughan Lavine and Vann McGee supply competing accounts of the generality expressed by this use of “everything.” I argue that, from the perspective of the metaphysician, (...) neither of their proposals is entirely suitable. But their central insights, as well as their shortcomings, suggest an account which is suitable for metaphysical discourse, what I call “genuinely unrestricted quantification.” For while genuinely unrestricted quantification does not directly supply an account of the metaphysician's “everything,” it disentangles what are properly metaphysical issues from issues concerning how we ought to understand the quantifiers. It makes clear that whether the metaphysician's “everything” is meaningful cannot simply be resolved by supplying an appropriate account of our understanding of quantification. It depends on addressing certain substantive ontological questions. (shrink)

Indispensability arguments occupy a prominent role in discussions of mathematical realism. While different versions of these arguments are discussed in the literature, their general structure remains the same. These arguments contend that insofar as reference to mathematical objects is indispensable to science, we are committed to the existence of these ‘objects’. Unsurprisingly, much of the debate concerning indispensability arguments focuses on the crucial contention that mathematical objects are indispensable to science. For these arguments to provide support for mathematical realism, what (...) we require are some compelling examples of mathematics playing an indispensable role in science. Towards this end, Alan Baker has supplied an example in which mathematics appears to be indispensable to a scientific explanation, what has come to be called the “Cicada MES”. This example has been the subject of much criticism, most notably that it depends on an unsupported empirical supposition. Recently, Baker proposed a number of revisions to the Cicada MES that aim to address some of these criticisms. In this paper, I argue that while Baker’s revisions go some way towards mitigating prominent criticisms of the Cicada MES, the underlying problem with the explanation remains. I argue that his revisions actually go in the wrong direction mathematically and empirically. In contrast, I propose a new Cicada MES. This new version accomplishes Baker’s goals and responds to the central objection to the explanation. It invokes a mathematical principle that plays a unifying role in the explanation, which makes providing adequate nominalist surrogates more difficult. And, more importantly, it accommodates an empirically grounded explanation of the phenomenon to be explained. Consequently, this new Cicada MES provides what proponents of indispensability arguments require, a compelling example of mathematics playing an indispensable role in science. (shrink)

Indispensability arguments are among the strongest arguments in support of mathematical realism. Given the controversial nature of their conclusions, it is not surprising that critics have supplied a number of rejoinders to these arguments. In this paper, I focus on one such rejoinder, Melia’s ‘Weasel Response’. The weasel is someone who accepts that scientific theories imply that there are mathematical objects, but then proceeds to ‘take back’ this commitment. While weaseling seems improper, accounts supplied in the literature have failed to (...) explain why. Drawing on examples of weaseling in more mundane contexts, I develop an account of the presumption against weaseling as grounded in a misalignment between two types of commitments. This is good news to the weasel’s opponents. It reinforces that they were right to question the legitimacy of weaseling. This account is also beneficial to the weasel. Uncovering the source of the presumption against weaseling also serves to draw out the challenge that the weasel must meet to override this presumption—what is required to be an ‘honest weasel’. (shrink)

Profoundly important ethical and political controversies turn on the question of whether biological life is an essential aspect of a human person, or only an extrinsic instrument. Lee and George argue that human beings are physical, animal organisms - albeit essentially rational and free - and examine the implications of this understanding of human beings for some of the most controversial issues in contemporary ethics and politics. The authors argue that human beings are animal organisms and that their personal identity (...) across time consists in the persistence of the animal organisms they are; they also argue that human beings are essentially rational and free and that there is a radical difference between human beings and other animals; criticize hedonism and hedonistic drug-taking; present detailed defenses of the prolife positions on abortion and euthanasia; and defend the traditional moral position on marriage and sexual acts. (shrink)

Conspiracy theories are rather a popular topic these days, and a lot has been written on things like the meaning of _conspiracy theory_, whether it’s ever rational to believe conspiracy theories, and on the psychology and demographics of people who believe conspiracy theories. But very little has been said about why people might be led to posit conspiracy theories in the first place. This paper aims to fill this lacuna. In particular, I shall argue that, in open democratic societies, citizens (...) justifiably presuppose that the epistemic authorities—journalists, academics, scientists, and so on—are engaged in a good faith pursuit of the truth. This presupposition generates certain normative expectations on the behaviors of the epistemic authorities—they ought to be open to new evidence, possess a healthy degree of skepticism, be willing to engage with opponents, and so on. So, when an epistemic authority is presented with some putatively anomalous data or an alternative hypothesis for some event or phenomena, people expect the epistemic authority to respond in a way that is consonant with these norms. In some instances, however, the epistemic authorities do not respond in this way and instead are dogmatic, dismissive, and engage in _ad hominem_. From the point of view of the citizen, there’s a tension here between how the epistemic authorities ought to behave and how they have, in fact, behaved which is best resolved either by taking the epistemic authorities less seriously or by positing a conspiracy theory. Put another way, the failure of the epistemic authorities to adhere to the norms by which we take them to be governed when presented with apparent anomalies or alternative hypotheses is one reason for which one might initially posit a conspiracy theory. (shrink)

In §2-4, I survey three extant ways of making sense of indeterminate truth and find each of them wanting. All the later sections of the paper are concerned with showing that the most promising way of making sense of indeterminate truth is via either a theory of truthmaker gaps or via a theory of truthmaking gaps. The first intimations of a truthmaker–truthmaking gap theory of indeterminacy are to be found in Quine (1981). In §5, we see how Quine proposes to (...) solve Unger’s problem of the many via positing the possibility of groundless truth. In §6, I elaborate the truthmaker gap model of indeterminacy first sketched by Sorensen (2001, ch.11) and use it to give a reductive analysis of indeterminate truth. In §7, I briefly assess what kind of formal framework can best express the possibility of truthmaker gaps. In §8, I contrast what I dub ‘the ordinary conception of worldly indeterminacy’ with Williamson’s conception of worldly indeterminacy. In §9, I show how one can distinguish linguistic from worldly indeterminacy on a truthmaker gap conception. In §10, I briefly sketch the relationship between truthmaker gaps and ignorance. In §11, I assess whether a truthmaker gap conception of vagueness is really just a form of epistemicism. In §12, I propose that truthmaker gaps can yield a plausible model of (semantic) presupposition failure. In §13, in response to the worry that a truthmaker gap conception of indeterminacy is both parochial and controversial—since it commits us to an implausibly strong theory of truthmaking—I set forth a truthmaking gap conception of indeterminacy. In §14, I answer the worry that groundless truths, of whatever species, are just unacceptably queer. A key part of this answer is that a truthmaker–truthmaking gap model of indeterminacy turns out to be considerably less queer than any model of indeterminacy which gives up on Tarski’s T-schema for truth (and cognate schemas). (shrink)

There has been increasing attention in sociology and internet studies to the topic of ‘digital remains’: the artefacts users of social network services (SNS) and other online services leave behind when they die. But these artefacts also pose philosophical questions regarding what impact, if any, these artefacts have on the ontological and ethical status of the dead. One increasingly pertinent question concerns whether these artefacts should be preserved, and whether deletion counts as a harm to the deceased user and therefore (...) provides pro tanto reasons against deletion. In this paper, I build on previous work invoking a distinction between persons and selves to argue that SNS offer a particularly significant material instantiation of persons. The experiential transparency of the SNS medium allows for genuine co-presence of SNS users, and also assists in allowing persons (but not selves) to persist as ethical patients in our lifeworld after biological death. Using Blustein’s “rescue from insignificance” argument for duties of remembrance, I argue that this persistence function supplies a nontrivial (if defeasible) obligation not to delete these artefacts. Drawing on Luciano Floridi’s account of “constitutive” information, I further argue that the “digital remains” metaphor is surprisingly apt: these artefacts in fact enjoy a claim to moral regard akin to that of corpses. (shrink)

Abstract: There is no such thing as ‘the’ hylemorphic account of personal identity. There are several views that count as hylemorphic, and these views can be grouped into two main families—the corruptionist view, and the survivalist view. The differentiating factor is that the corruptionist view holds that the persistence of the soul is not sufficient for the persistence of the person, while the survivalist view holds that the persistence of the soul is sufficient for the persistence of the person. In (...) this paper, I argue that hylemorphists should prefer the corruptionist view. This project ought to be of interest to anyone working on issues of personal identity, not only because hylemorphic views are historically important, but also because they are currently receiving significant attention in the personal identity literature. (shrink)

Tens of thousands of students have learned to be more discerning at constructing and evaluating arguments with the help of Patrick J. Hurley. Hurley’s lucid, friendly, yet thorough presentation has made A CONCISE INTRODUCTION TO LOGIC the most widely used logic text in North America. In addition, the book’s accompanying technological resources, such as CengageNOW and Learning Logic, include interactive exercises as well as video and audio clips to reinforce what you read in the book and hear in class. (...) In short, you’ll have all the assistance you need to become a more logical thinker and communicator. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. (shrink)

Since St. Thomas Aquinas holds that death is a substantial change, a popular current interpretation of his anthropology must be mistaken. According to that interpretation – the ‘survivalist’ view – St. Thomas holds that we human beings survive our deaths, constituted solely by our souls in the interim between death and resurrection. This paper argues that St. Thomas must have held the ‘corruptionist’ view: the view that human beings cease to exist at their deaths. Certain objections to the corruptionist view (...) are also met. (shrink)

Presents an historical analysis of social contract theory by considering the works of prominent philosophers.

Quantum mechanical entangled configurations of particles that do not satisfy Bell’s inequalities, or equivalently, do not have a joint probability distribution, are familiar in the foundational literature of quantum mechanics. Nonexistence of a joint probability measure for the correlations predicted by quantum mechanics is itself equivalent to the nonexistence of local hidden variables that account for the correlations (for a proof of this equivalence, see Suppes and Zanotti, 1981). From a philosophical standpoint it is natural to ask what sort of (...) concept can be used to provide a “joint” analysis of such quantum correlations. In other areas of application of probability, similar but different problems arise. A typical example is the introduction of upper and lower probabilities in the theory of belief. A person may feel uncomfortable assigning a precise probability to the occurrence of rain tomorrow, but feel comfortable saying the probability should be greater than ½ and less than ⅞. Rather extensive statistical developments have occurred for this framework. A thorough treatment can be found in Walley (1991) and an earlier measurement-oriented development in Suppes (1974). It is important to note that this focus on beliefs, or related Bayesian ideas, is not concerned, as we are here, with the nonexistence of joint probability distributions. Yet earlier work with no relation to quantum mechanics, but focused on conditions for existence has been published by many people. For some of our own work on this topic, see Suppes and Zanotti (1989). Still, this earlier work naturally suggested the question of whether or not upper and lower measures could be used in quantum mechanics, as a generalization of.. (shrink)

Moral latitude is only ever a matter of coincidence on the most popular decision procedure in the literature on moral uncertainty. In all possible choice situations other than those in which two or more options happen to be tied for maximal expected choiceworthiness, Maximize Expected Choiceworthiness implies that only one possible option is uniquely appropriate. A better theory of appropriateness would be more sensitive to the decision maker’s credence in theories that endorse agent-centred prerogatives. In this paper, we will develop (...) and defend a modified version of this view that allows for agent-centred prerogatives and supererogation as part of its verdicts about appropriateness. (shrink)

The present paper revisits the debate between realists about gravitational energy in GR and anti-realists/eliminativists. I re-assess the arguments underpinning Hoefer’s seminal eliminativist stance, and those of their realist detractors’ responses. A more circumspect reading of the former is proffered that discloses where the so far not fully appreciated, real challenges lie for realism about gravitational energy. I subsequently turn to Lam and Read’s recent proposals for such a realism. Their arguments are critically examined. Special attention is devoted to the (...) adequacy of Read’s appeals to functionalism, imported from the philosophy of mind. (shrink)

Epistemic contextualism is a recent and hotly debated position. In its dominant form, EC is the view that the proposition expressed by a given knowledge sentence depends upon the context in which it is uttered. What makes this view interesting and controversial is that ‘context’ here refers, not to certain features of the putative subject of knowledge or his/her objective situation, but rather to features of the knowledge attributor' psychology and/or conversational-practical situation. As a result of such context-dependence, utterances of (...) a given such sentence, made in different contexts, may differ in truth value. (shrink)

This book uses neuroscience discoveries concerning religious experiences, the Self and personhood to deepen, enhance and interrogate the theological and philosophical set of ideas known as Personalism. McNamara proposes a new eschatological form of personalism that is consistent with current neuroscience models of relevant brain functions concerning the self and personhood and that can meet the catastrophic challenges of the 21st century. Eschatological Personalism, rooted in the philosophical tradition of "Boston Personalism", takes as its starting point the personalist claim that (...) the significance of a self and personality is not fully revealed until it has reached its endpoint, but theologically that end point can only occur within the eschatological realm. That realm is explored in the book along with implications for personalist theory and ethics. Topics covered include the agent intellect, dreams and the imagination, future-orientation and eschatology, phenomenology of Time, social ethics, Love, the challenge of AI, privacy and solitude and the individual ethic of autarchy. This book is an innovative combination of the neuroscientific and theological insights provided by a Personalist viewpoint. As such, it will be of great interest to scholars of Cognitive Science, Theology, Religious Studies and the philosophy of the mind. (shrink)

__The Conduct of Inquiry in International Relations_ first edition was winner of the ISA-Northeast’s Yale H. Ferguson Award, and the ISA Theory Section’s Best Book of the Year award._ _The Conduct of Inquiry in International Relations_ provides an introduction to the philosophy of science issues and their implications for the study of global politics. The author draws attention to the problems caused by the misleading notion of a single unified scientific method, and proposes a framework that clarifies the variety of (...) ways that IR scholars establish the authority and validity of their empirical claims. Jackson connects philosophical considerations with concrete issues of research design within neopositivist, critical realist, analyticist, and reflexive approaches to the study of world politics. Envisioning a pluralist science for a global IR field, this volume organizes the significant differences between methodological stances so as to promote internal consistency, public discussion, and worldly insight as the hallmarks of any scientific study of world politics. In this second edition, Jackson has centralised the philosophical history of the ‘science question’ into a single chapter, providing a clearer picture of the connections between contemporary concerns about the status of knowledge and classic philosophical debates about the relationship between human beings and the world they inhabit. The central chapters feature more detailed and pedagogically useful illustrations of the methodological positions discussed, making the book even better suited to clarify the philosophical distinctions with respect to which a scientific researcher must locate herself. The second edition will continue to be essential reading for all students and scholars of International Relations, Political Science and Philosophy of Science. (shrink)

It has been argued that St. Thomas Aquinas’s anthropological views fall prey to the problem of “Too Many Thinkers.” The worry, roughly, is that his views entail that I—a human person—am able to think, but that my soul—which is not a human person—is also able to think. Hence, too many thinkers: there are too many ofus having my thoughts. In this paper, I show why this is not a problem for St. Thomas. Along the way, I also address Peter Unger’s (...) argument for substance dualism. (shrink)

The details of St. Thomas Aquinas’s anthropological view are subject to debate. Some philosophers believe he held that human persons survive their deaths. Other philosophers think he held that human persons cease to exist at their death, but come back into being at the general resurrection. In this paper, I defend the latter view against one of the most significant objections it faces, namely, that it entails that God punishes and rewards separated souls for the sins or merits of something (...) else: the (non-existent) persons to whom those souls once belonged. The objector takes this entailment to be problematic. I argue that it fits in well with St. Thomas’s views about punishment and about persons. (shrink)

At the most general level, "manipulation" refers one of many ways of influencing behavior, along with (but to be distinguished from) other such ways, such as coercion and rational persuasion. Like these other ways of influencing behavior, manipulation is of crucial importance in various ethical contexts. First, there are important questions concerning the moral status of manipulation itself; manipulation seems to be mor- ally problematic in ways in which (say) rational persuasion does not. Why is this so? Furthermore, the notion (...) of manipulation has played an increasingly central role in debates about free will and moral responsibility. Despite its significance in these (and other) contexts, however, the notion of manipulation itself remains deeply vexed. I would say notoriously vexed, but in fact direct philosophical treatments of the notion of manipulation are few and far between, and those that do exist are nota- ble for the sometimes widely divergent conclusions they reach concerning what it is. I begin by addressing (though certainly not resolving) the conceptual issue of how to distinguish manipulation from other ways of influencing behavior. Along the way, I also briefly address the (intimately related) question of the moral status of manipulation: what, if anything, makes it morally problematic? Then I discuss the controversial ways in which the notion of manipulation has been employed in contemporary debates about free will and moral responsibility. (shrink)

Patrick Aidan Heelan’s The Observable offers the reader a completely articulated development of his 1965 philosophy of quantum physics, Quantum Mechanics and Objectivity. In this previously unpublished study dating back more than a half a century, Heelan brings his background as both a physicist and a philosopher to his reflections on Werner Heisenberg’s physical philosophy. Including considerably broader connections to the contributions of Niels Bohr, Wolfgang Pauli, and Albert Einstein, this study also reflects Heelan’s experience in Eugene Wigner’s laboratory (...) at Princeton along with his reflections on working with Erwin Schrödinger dating from Heelan’s years at the Institute for Advanced Cosmology in Dublin. A contribution to continental philosophy of science, the phenomenological and hermeneutic resources applied in this book to the physical and ontological paradoxes of quantum physics, especially in connection with laboratory science and measurement, theory and model making, will enrich students of the history of science as well as those interested in different approaches to the historiography of science. University courses in the philosophy of physics will find this book indispensable as a resource and invaluable for courses in the history of science. (shrink)

This chapter contains sections titled: Preamble Conceptual Primitivism Concerning “Determinately” Incoherentism and Indeterminate Truth Slater on Indeterminate Truth Quine, Indeterminate Truth, and the Problem of the Many Truthmaker Gaps and Indeterminate Truth The Logic of Determinacy Worldly Indeterminacy: Williamson's Conception and the Ordinary Conception Minimal Versus Robust Forms of Worldly and Linguistic Indeterminacy Truthmaker Gaps and Knowledge Epistemicism, Third Possibility Views, and Indeterminate Truth Semantic Presupposition Failure and Indeterminate Truth Truthmaking Gaps and Indeterminate Truth The Queerness Objection Conclusion References.

Le matérialisme que ce livre interroge et construit n'est pas une « philosophie », mais la condition de possibilité et l'outil de la connaissance objective. Historiquement, il se confond, de fait, avec l'élaboration de la science moderne s'affranchissant graduellement des contrats de parole qui l'asservirent longtemps à la métaphysique et à la théologie. Comment cette émancipation s'est-elle effectuée en des temps où une croyance instituée dictait sa loi théologico-politique aux efforts de la connaissance en leur imposant a priori la limite (...) de l'Inconnaissable? Comment d'autre part, face à cet affranchissement toujours inachevé, une métaphysique résiduelle impose-t-elle encore aux artisans de la connaissance objective, sans qu'ils s'en doutent, des cadres, des frontières, des démarches et des représentations? Ce livre montre qu'une analyse savante des complexes de discours dans l'histoire, à travers ce qu'elle explique du passé, peut permettre de comprendre et d'améliorer ce qui constitue proprement aujourd'hui l'acte de connaître. De redéfinir la « conscience ». De sortir des leitmotivs exténués sur le « hasard ». De penser plus authentiquement la singularité émergente du vivant. De s'éloigner d'un modèle strictement nécessitariste du « déterminisme ». De sortir des impasses avérées du réductionnisme. De résoudre les contradictions tacitement acceptées entre matérialisme et morale, ou entre déterminisme et conduites autonomes. D'entrevoir l'origine du symbolisme. De comprendre la nature originellement et fondamentalement politique de la religion. De penser l'articulation évolutive entre « nature » et « civilisation », et un lien cohérent et critique entre sciences de la nature et sciences de la société. D'identifier les comportements discursifs récurrents de ce que l'on nomme l'« idéologie ». Et d'édifier sur de nouvelles bases une histoire naturelle et sociale de la liberté. Revenant sur une part essentielle de son oeuvre, Patrick Tort invite ici à une véritable réforme logique de l'initiative de connaissance, et, simultanément, à instruire la méthode capable d'éclairer les mécanismes qui la favorisent et la combattent dans l'univers infini des discours. (shrink)

In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...) (ergodic) proof due to Furstenberg (Section 3). Furstenberg’s ergodic proof is striking because it utilizes intuitively foreign and infinitary resources to prove a finitary combinatorial result and does so in a perspicuous fashion. I claim that Furstenberg’s proof is explanatory in light of its clear expression of a crucial structural result, which provides the “reason why” Szemerédi’s theorem is true. This is, however, rather surprising: how can such intuitively different conceptual resources “get a grip on” the theorem to be proved? I account for this phenomenon by articulating a new construal of the content of a mathematical statement, which I call structural content (Section 4). I argue that the availability of structural content saves intuitive epistemic distinctions made in mathematical practice and simultaneously explicates the intervention of surprising and explanatorily rich conceptual resources. Structural content also disarms general arguments for thinking that impurity and explanatory power might come apart. Finally, I sketch a proposal that, once structural content is in hand, impure resources lead to explanatory proofs via suitably understood varieties of simplification and unification (Section 5). (shrink)

Consider the following sentences: The neighbouring sentence is not true. The neighbouring sentence is not true. Call these the no-no sentences. Symmetry considerations dictate that the no-no sentences must both possess the same truth-value. Suppose they are both true. Given Tarski’s truth-schema—if a sentence S says that p then S is true iff p—and given what they say, they are both not true. Contradiction! Conclude: they are not both true. Suppose they are both false. Given Tarski’s falsity-schema—if a sentence S (...) says that p then S is false iff not-p—and given what they say, they are both true, and so not false. Contradiction! Conclude: they are not both false. Thus, despite their symmetry, the no-no sentences must differ in truth-value. Such is the no-no paradox.[1] Sorensen (2001, 2005a, 2005b) has argued that: (1) The no-no paradox is not a version of the liar but rather a cousin of the truth-teller paradox. (2) Even so, the no-no paradox is more paradoxical than the truth-teller. (3) The no-no and truth-teller sentences have groundless truthvalues—they are bivalent but give rise to “truthmaker gaps”. (4) It is metaphysically impossible to know these truth-values. (5) A truthmaker gap response to the no-no paradox provides reason to accept a version of epistemicism. In this paper it is shown that a truthmaker gap solution to the no-no and truth-teller paradoxes runs afoul of the dunno-dunno paradox, the strengthened no-no paradox, and the strengthened truth-teller paradox. In consequence, the no-no paradox is best seen as a form of the liar paradox. As such, it cannot provide a case for epistemicism. (shrink)

Veltman’s test semantics and developments thereof reject the canon about semantic contents and attitude ascriptions in favor of dynamic alternatives. According to these theories the semantic content of a sentence is not a proposition, but a context change potential (CCP). Similarly, beliefs are not taken to be relations between agents and propositions, but agents and CCPs. These deviations from the canon come at the cost of an elegant explanation about the correctness of belief. Standardly, it is taken that the content (...) of a belief is correct just in case the content of that belief is true. The proponent of the test semantics cannot appeal to this explanation since they hold that certain contents, namely epistemically modalized contents, do not express propositions, and are neither true nor false. After motivating the need for an account of the correctness of belief within the dynamic framework, I argue that the few extant accounts in the literature are unsatisfactory. A novel account is proposed that avoids the problems of competing views. (shrink)

I argue that some perceptual experiences are vague. To do so, I identify a characteristic feature of vagueness and show that some perceptual experiences have this feature. These include blurry experiences, experiences of color under low lighting, and experiences of number, as in the case of the speckled hen. The conclusion that these experiences are vague has two noteworthy consequences. First, it presses us to see whether and how existing theories of vagueness can be extended to perceptual experience. Second, it (...) sheds light on several puzzles in the philosophy of perception. (shrink)

This book considers the experience of enchantment in art. Considering the essential characteristics, dynamics and conditions of the experience of enchantment in relation to art, including liminality, it offers studies of different kinds of artistic experience and activity, including painting, music, fiction and poetry, before exploring the possibility of a life oriented to enchantment as the activity of art itself. With attention to the complex relationship between wonder in art and the programmatic disenchantment to which it is often subject, the (...) author draws on the thought of a diverse range of philosophers, sociological theorists and artists, to offer an understanding of art through the idea of enchantment, and enchantment through art. An accessible study, richly illustrated with experience - both that of the author and others - Art and Enchantment will appeal to scholars and students of sociology, anthropology, philosophy, and anyone with interests in the nature of aesthetic experience. (shrink)

In its widest sense, public relations is about productively communicating with a broader audience, either directly or indirectly, such as through journalist interviews. Academic writing can be abstruse and lengthy, while media coverage can translate those difficult ideas into ordinary language in a more digestible form. Media articles are much easier to share; even as more paywalls are erected on media sites, they're still typically far cheaper than accessing academic journal articles, if not costless. Some initial groundwork is needed for (...) any media‐relations activities. This is about understanding the “rules of engagement” with the media, including who the right journalists are to approach and how. The chapter focuses on two main activities in media relations that might be relevant for philosophers: working with journalists on stories they're writing, and writing articles or op‐eds to be published in popular media. (shrink)

How we envision God’s forgiveness shapes our thinking about human forgiveness as well. Whereas some contemporary Christians such as Miroslav Volf struggle to square victims’ demands with a God who forgives and keeps no record of wrongs, many early Christians expected God to fastidiously punish or reward every deed. In contrast to both extremes, I revisit recent philosophical work on purgatory, which emphasizes sanctification over satisfaction. This approach reveals how God’s forgiveness is consonant with restorative justice. By considering an alternate (...) vision of God’s justice, we can thereby reimagine how our forgiveness too is compatible with—and in fact necessitates—the work of moral repair. (shrink)