What are the properties of composite objects, and how do the properties of composite objects and the properties of their proper parts relate to one another? The answers to these questions depend upon which view of composition one adopts. One view, which I call the orthodox view, is that composite objects are numerically distinct from their proper parts, individually and collectively. Another view, known as composition as identity, is that composite objects are numerically identical to their proper parts, taken together. (...) I argue that the orthodox view entails that the intuitive picture of composite objects and their properties that most accept is false. Not so for composition as identity. I also show that all of the available alternatives face serious difficulties. This puts composition as identity at an advantage over the orthodox view, at least when it comes to accounting for the properties of composite objects. (shrink)

This paper contains a critical examination of the prospects for analyses of knowledge that weaken the factivity condition such that knowledge implies approximate truth.

This paper explores the prospects of combining two views. The first view is metaphysical rationalism : all things have an explanation. The second view is metaphysical essentialism: there are real essences. The exploration is motivated by a conflict between the views. Metaphysical essentialism posits facts about essences. Metaphysical rationalism demands explanations for all facts. But facts about essences appear to resist explanation. I consider two solutions to the conflict. Exemption solutions attempt to exempt facts about essences from the demand for (...) explanation. Explanation solutions attempt to explain facts about essences. I argue that exemption solutions are less promising than explanation solutions. I then consider how explanation solutions might be developed. I suggest that a “generative” approach is most promising. I tentatively conclude that the prospects for combining metaphysical rationalism and metaphysical essentialism turn on the viability of a generative approach. This sets the agenda for defending the combination as well as the more general project of explaining essences. (shrink)

In this paper significant challenges are raised with respect to the view that explanation essentially involves unification. These objections are raised specifically with respect to the well-known versions of unificationism developed and defended by Michael Friedman and Philip Kitcher. The objections involve the explanatory regress argument and the concepts of reduction and scientific understanding. Essentially, the contention made here is that these versions of unificationism wrongly assume that reduction secures understanding.

This paper explores two related questions in late Athenian and Alexandrian Neoplatonism. First, how can a philosopher contemplate the eternal Forms while engaging in practical agency in the world? Second, do Neoplatonists provide a consistent account of the philosopher’s progress through the ‘stages of virtue’ (βαθμοί τῶν ἀρετῶν), the conceptual structure that underpins late antique philosophical curricula and hagiography? These questions interact, I suggest, because later Platonists appeal to the stages of virtue and divine maniai (βαθμοί τῶν μανίων) to explain (...) the philosopher’s ability to alternate gracefully between contemplation and embodied agency, and even to engage in both activities at the same moment. I argue that apparently contradictory evidence for the highest stages of virtue can be reconciled satisfactorily, shedding light on two models of ethical and perceptual transformation that are consistent throughout later Neoplatonism. In the first, 'painterly' model, we alternate between a vision of the paradigmatic model and its expression in the media of place and time; in the second, 'dancerly' model, we contemplate in action all at once, like a dancer moving to the music. (shrink)

This paper concerns a distinction between circumstantial truths that hold because of the circumstances and acircumstantial truths that hold regardless of, or transcend, the circumstances. Previous discussions of the distinction tended to focus on its applications, such as to modality, logical truth, and essence. This paper focuses on developing the distinction largely, but not entirely, in abstraction from its potential applications. As such, the paper’s main contribution is to further clarify the distinction itself. An indirect contribution is to help guide (...) its future applications. (shrink)

This paper introduces two new paradoxes for standard deontic logic (SDL). They are importantly related to, but distinct from Ross' paradox. These two new paradoxes for SDL are the simple weakening paradox and the complex weakening paradox. Both of these paradoxes arise in virtue of the underlaying logic of SDL and are consequences of the fact that SDL incorporates the principle known as weakening. These two paradoxes then show that SDL has counter-intuitive implications related to disjunctive obligations that arise in (...) virtue of deontic weakening and in virtue of decisions concerning how to discharge such disjunctive obligations. The main result here is then that theorem T1 is a problematic component of SDL that needs to be addressed. (shrink)

The social world contains institutions, groups, objects, and more. This essay explores a puzzle about the essences of social items. There is widespread consensus against social essences because of problematic presuppositions often made about them. But it is argued that essence can be freed from these presuppositions and their problems. Even so, a puzzle still arises. In a Platonic spirit, essences in general seem detached from the world. In an Aristotelian spirit, social essences in particular seem embedded in the world. (...) The puzzle is that these inclinations are individually plausible but jointly incompatible. The essay has four aims: to clarify and refine the puzzle; to explore the puzzle's implications for essence in general and for social essences in particular; to illustrate the fruitfulness of the general distinction between detached and embedded; and to develop this distinction to sketch a novel solution to the puzzle. (shrink)

A commonly held view is that a central aim of metaphysics is to give a fundamental account of reality which refers only to the fundamental entities. But a puzzle arises. It is at least a working hypothesis for those pursuing the aim that, first, there must be fundamental entities. But, second, it also seems possible that the world has no foundation, with each entity depending on others. These two claims are inconsistent with the widely held third claim that the fundamental (...) just is the foundational. It is tempting to resolve the puzzle by rejecting the first or second claim, perhaps because it is obscure how the third claim might plausibly be challenged. But I develop a new analysis of fundamentality which challenges the third claim by allowing for an entity to be fundamental without being foundational. The analysis, roughly, is that an entity is fundamental just in case not all facts about it are grounded in facts about other entities. The possibility of fundamentality without foundations not only provides for a novel resolution to the puzzle, but has applications to some live debates: for example, it undermines Jonathan Schaffer's modal argument for priority monism. (shrink)

Knowledge ascriptions of the form ‘S knows that p’ are a central area of research in philosophy. But why do humans think and talk about knowledge? What are knowledge ascriptions for? This article surveys a variety of proposals about the role of knowledge ascriptions and attempts to provide a unified account of these seemingly distinct views.

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

The physicalist credo is that the world is physical. But some phenomena, such as minds, morals, and mathematics, appear to be nonphysical. While an uncompromising physicalism would reject these, a conciliatory physicalism needn’t if it can account for them in terms of an underlying physical basis. Any such account must refer to the nonphysical. But won’t this unavoidable reference to the nonphysical conflict with the physicalist credo? This essay aims to clarify this problem and introduce a novel solution that relies (...) on a distinction between “circumstantial” facts that are based in the circumstances and “acircumstantial” facts that are not. This is used in two ways. First, physicalism is restricted to circumstantial facts: only they must have a physical basis that does not refer to the nonphysical. Second, facts accounting for the nonphysical are not restricted to the circumstantial: they may refer to the nonphysical if they are acircumstantial. Facts about how the physical accounts for the nonphysical therefore do not conflict with the physicalist’s credo. This provides a credible answer to what physicalism could be. (shrink)

This chapter will discuss the relation of physicalism to social ontology, and explores problems that social ontology raises for physicalism. Physicalism is often understood to be the view that all facts—the social ones included—are physical facts, or at least are exhaustively determined by physical facts. While this view is widely endorsed, social phenomena challenge physicalism in several ways, both challenging the coherence of claims of physicalism and raising potential counterexamples.

This paper is a response to Baumann's comments on "Can Knowledge Really be Non-fative?" In this paper Baumann's suggestions for how those who deny the factivty of knowledge might deal with the argument from inconsistency and explosion are addressed.

Perhaps the most commonly discussed argument against the possibility of extended simples is the argument from heterogeneity. The argument states that, if extended simples are possible, then extended simples which exhibit intrinsic qualitative variation across space (or spacetime) are also possible [Premise 1]. But, the argument goes, it is impossible for an extended simple to exhibit intrinsic qualitative variation across space (or spacetime) [Premise 2]. Thus, extended simples are impossible. I argue that there is a serious problem with the argument (...) from heterogeneity: the best arguments in support of the first premise undermine support for the second. Thus, there appears to be no good reason to accept both premises. (shrink)

The classical theory of probability has long been abandoned and is seen by most philosophers as a non-contender—a mere precursor to newer and better theories. In this paper I argue that this is a mistake. The main reasons for its rejection—all related to the notorious principle of indifference—are that it is circular, of limited applicability, inconsistent, and dependent upon unjustified empirical assumptions. I argue that none of these claims is true and that the classical theory remains to be refuted.

It is an under-appreciated fact that Quine's rejection of the analytic/synthetic distinction, when coupled with some other plausible and related views, implies that there are serious difficulties in demarcating empirical theories from pure mathematical theories within the Quinean framework. This is a serious problem because there seems to be a principled difference between the two disciplines that cannot apparently be captured in the orthodox Quienan framework. For the purpose of simplicity let us call this Quine's problem of demarcation. In this (...) paper this problem will be articulated and it will be shown that the typical sorts of responses to this problem are all unworkable within the Quinean framework. It will then be shown that the lack of resources to solve this problem within the Quinean framework implies that Quine’s version of the indispensability argument cannot get off the ground, for it presupposes the possibility of making such a distinction. (shrink)

The main question addressed in this paper is whether some false sentences can constitute evidence for the truth of other propositions. In this paper it is argued that there are good reasons to suspect that at least some false propositions can constitute evidence for the truth of certain other contingent propositions. The paper also introduces a novel condition concerning propositions that constitute evidence that explains a ubiquitous evidential practice and it contains a defense of a particular condition concerning the possession (...) of evidence. The core position adopted here then is that false propositions that are approximately true reports of measurements can constitute evidence for the truth of other propositions. So, it will be argued that evidence is only quasi-factive in this very specific sense. (shrink)

Van Fraassen’s (1989) infamous best of a bad lot objection is widely taken to be the most serious problem that afflicts theories of inference to the best explanation (IBE), for it alleges to show that we should not accept the conclusion of any case of such reasoning as it actually proceeds. Moreover, this is supposed to be the case irrespective of the details of the particular criteria used to select best explanations. The best of a bad lot objection is predicated (...) on, and really only requires, the idea that in any real case of IBE where one hypothesis is favored as best over those with which it competes, it is always the case that it is more likely that the true explanation is to be found in the set of unformulated and unconsidered logical alternatives to the set of actually considered hypotheses. On this basis, Van Fraassen believes that accepting the conclusion of IBEs so understood is irrational and this is simply because such inferences are supposedly not probative. In this paper the best of a bad lot objection will be addressed and it will be shown that Van Fraassen’s notorious criticism of IBE depends on a problematic conflation of two notions of rationality and thus that his criticism of IBE involves a damning equivocation. In essence, he conflates ideal standards of rationality with epistemic standards of rationality and, in so doing, makes it appear to be the case that we should not accept the conclusions of IBEs. But, when we disambiguate the concepts of rationality at work in the argument Van Fraassen’s conclusion simply does not follow. (shrink)

This paper presents a case for the claim that the infamous miners paradox is not a paradox. This contention is based on some important observations about the nature of ignorance with respect to both disjunctions and conditional obligations and their modal features. The gist of the argument is that given the uncertainty about the location of the miners in the story and the nature of obligations, the apparent obligation to block either mine shaft is cancelled.

This is an editorial introduction to a special issue of Acta Analytica on epistemic luck.

In a recent paper Shieva Kleinschmidt has argued that if certain scenarios involving extended simple regions are possible (so-called ‘Place Cases’), then no logic of location with only one primitive locative notion (i.e., no ‘parsimonious logic of location’) will suffice to describe all of the locative possibilities. Since almost all existing logics of location are parsimonious (and apparently for good reason) the argument is a considerable obstacle to the development of a satisfactory logic of location. Kleinschmidt suggests that the best (...) way out of the difficulty is to deny the possibility of Place Cases by denying that extended simple regions are possible. I argue that much the same problem arises even in cases not involving extended simple regions or indeed exotic regions of any kind. Thus, simply denying the possibility of extended simple regions will not save parsimonious logics of location. (shrink)

This paper introduces a new argument for the safety condition on knowledge. It is based on the contention that the rejection of safety entails the rejection of the factivity condition on knowledge. But, since we should maintain factivity, we should endorse safery.

Tomis Kapitan’s work on Peirce’s conception of abduction was instrumental for our coming to see how Peircean abduction both relates to and is importantly different from inference to the best explanation (IBE). However, he ultimately concluded that Peirce’s conception of abduction was a muddle. Despite the deeply problematic nature of Peirce’s theory of abduction in these respects, Kapitan’s work on Peircean abduction offers insight into the nature of abductive inquiry that is importantly relevant to the task of making sense of (...) explanatory inquiry in the sciences in general. The view developed here stems from his work and involves disambiguating three forms of inference involved in Peircean abduction in terms of Reichenbach’s and Laudan’s context models of inquiry. Importantly, this includes understanding that abduction involves the context of pursuit. (shrink)

This paper addresses the recent rise of the use of alternative medicine in Western countries. It offers a novel explanation of that phenomenon in terms of cognitive and economic factors related to the free-market and patient-centric approach to medicine that is currently in place in those countries, in contrast to some alternative explanations of this phenomenon. Moreover, the paper addresses this troubling trend in terms of the serious harms associated with the use of alternative medical modalities. The explanatory theory defended (...) here is then predicated on the idea that an extreme patient-centric model of medical practice that treats largely ignorant patients as consumers of medical products and services endowed with an essentially unrestricted power of freedom to choose treatments predictably leads serious and avoidable harms. Some important moral and epistemological consequences of this model are then articulated and corrective measures are suggested. (shrink)

In this paper Timothy Williamson’s argument that the knowledge norm of assertion is the best explanation of the unassertability of Morrean sentences is challenged and an alternative account of the norm of assertion is defended.

In this paper, I outline the ways that reification as a pathology of what I call “cybernetic society” shapes the fundamental structures of the self and our shared social reality. Whereas the classical theory of reification was a diagnostic attempt to understand the failure of class consciousness, I believe we must push this thesis further to show how is fundamentally an ontological and not a merely cognitive or epistemic concern. By this I mean that it is a pathology of consciousness (...) as well as social praxis and, as such, infects the ontological substrates of social reality. In effect, reification is a collective rather than merely subjective phenomenon. I explore this dialectic between our subjective and social dimensions of being to show how reification actively shapes self and world. I end with a discussion of how this theory of reification as an ontological concept can be used to overcome it via what I term “ontological coherence,” or the capacity of the self to reflect dialectically on the shapes of sociality that one inhabits, opening it up to evaluative reflection and critique. (shrink)

Sceptical theists--e.g., William Alston and Michael Bergmann--have claimed that considerations concerning human cognitive limitations are alone sufficient to undermine evidential arguments from evil. We argue that, if the considerations deployed by sceptical theists are sufficient to undermine evidential arguments from evil, then those considerations are also sufficient to undermine inferences that play a crucial role in ordinary moral reasoning. If cogent, our argument suffices to discredit sceptical theist responses to evidential arguments from evil.

This paper shows how the availability heuristic can be used to justify inference to the best explanation in such a way that van Fraassen's infamous "best of a bad lot" objection can be adroitly avoided. With this end in mind, a dynamic and contextual version of the erotetic model of explanation sufficient to ground this response is presented and defended.

In this chapter we consider three philosophical perspectives (including those of Stalnaker and Lewis) on the question of whether and how the principle of conditional excluded middle should figure in the logic and semantics of counterfactuals. We articulate and defend a third view that is patterned after belief revision theories offered in other areas of logic and philosophy. Unlike Lewis’ view, the belief revision perspective does not reject conditional excluded middle, and unlike Stalnaker’s, it does not embrace supervaluationism. We adduce (...) both theoretical and empirical considerations to argue that the belief revision perspective should be preferred to its alternatives. The empirical considerations are drawn from the results of four empirical studies (which we report below) of non-experts’ judgments about counterfactuals and conditional excluded middle. (shrink)

We argue that, insofar as one accepts either supersubstantivalism or strong composition as identity for the usual reasons, one has (defeasible) reasons to accept the other as well. Thus, all else being equal, one ought to find the package that combines both views—the Identity Package—more attractive than any rival package that includes one, but not the other, of either supersubstantivalism or composition as identity.

The Oxford Handbook of Metaphysics offers the most authoritative and compelling guide to this diverse and fertile field of philosophy. Twenty-four of the world's most distinguished specialists provide brand-new essays about 'what there is': what kinds of things there are, and what relations hold among entities falling under various categories. They give the latest word on such topics as identity, modality, time, causation, persons and minds, freedom, and vagueness. The Handbook's unrivaled breadth and depth make it the definitive reference work (...) for students and academics across the philosophical spectrum. (shrink)

Twenty-five years ago, my colleagues Miyuki Kamachi and Jiro Gyoba and I designed and photographed JAFFE, a set of facial expression images intended for use in a study of face perception. In 2019, without seeking permission or informing us, Kate Crawford and Trevor Paglen exhibited JAFFE in two widely publicized art shows. In addition, they published a nonfactual account of the images in the essay “Excavating AI: The Politics of Images in Machine Learning Training Sets.” The present article recounts the (...) creation of the JAFFE dataset and unravels each of Crawford and Paglen’s fallacious statements. I also discuss JAFFE more broadly in connection with research on facial expression, affective computing, and human-computer interaction. (shrink)

In debates over the regulation of communication related to dual-use research, the risks that such communication creates must be weighed against against the value of scientific autonomy. The censorship of such communication seems justifiable in certain cases, given the potentially catastrophic applications of some dual-use research. This conclusion however, gives rise to another kind of danger: that regulators will use overly simplistic cost-benefit analysis to rationalize excessive regulation of scientific research. In response to this, we show how institutional design principles (...) and normative frameworks from free speech theory can be used to help extend the argument for regulating dangerous dual-use research beyond overly simplistic cost-benefit reasoning, but without reverting to an implausibly absolutist view of scientific autonomy. (shrink)

This paper critically explores Timothy Williamson’s view of evidence, and it does so in light of the problem of epistemic luck. Williamson’s view of evidence is, of course, a crucially important aspect of his novel and influential “knowledge-first” epistemological project. Notoriously, one crucial thesis of this project is that one’s evidence is equivalent to what one knows. This has come to be known as the E = K thesis. This paper specifically addresses Williamson’s knowledge-first epistemology and the E = K (...) thesis in the context of anti-luck epistemology and the idea that knowledge is factive. Williamson’s views on these matters are worth investigating in some detail because he subscribes to a well-worked out anti-luck view of knowledge that incorporates what is perhaps the most common anti-luck condition. But this paper is also of more general importance because the critique of Williamson’s views on these matters reveals some important things about the nature of evidence and evidence is one of the most fundamental concepts in epistemology. (shrink)

This paper introduces a model for evidence denial that explains this behavior as a manifestation of rationality and it is based on the contention that social values (measurable as utilities) often underwrite these sorts of responses. Moreover, it is contended that the value associated with group membership in particular can override epistemic reason when the expected utility of a belief or belief system is great. However, it is also true that it appears to be the case that it is still (...) possible for such unreasonable believers to reverse this sort of dogmatism and to change their beliefs in a way that is epistemically rational. The conjecture made here is that we should expect this to happen only when the expected utility of the beliefs in question dips below a threshold where the utility value of continued dogmatism and the associated group membership is no longer sufficient to motivate defusing the counter-evidence that tells against such epistemically irrational beliefs. (shrink)

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

This paper introduces a new argument against Richard Foley’s threshold view of belief. His view is based on the Lockean Thesis (LT) and the Rational Threshold Thesis (RTT). The argument introduced here shows that the views derived from the LT and the RTT violate the safety condition on knowledge in way that threatens the LT and/or the RTT.

Stalnaker argued that conditional excluded middle should be included in the principles that govern counterfactuals on the basis that intuitions support that principle. This is because there are pairs of competing counterfactuals that appear to be equally acceptable. In doing so, he was forced to introduced semantic vagueness into his system of counterfactuals. In this paper it is argued that there is a simpler and purely epistemic explanation of these cases that avoids the need for introducing semantic vagueness into the (...) semantics for counterfactuals. (shrink)

This paper shows that any view of future contingent claims that treats such claims as having indeterminate truth values or as simply being false implies probabilistic irrationality. This is because such views of the future imply violations of reflection, special reflection and conditionalization.

Recently a number of variously motivated epistemologists have argued that knowledge is closely tied to practical matters. On the one hand, radical pragmatic encroachment is the view that facts about whether an agent has knowledge depend on practical factors and this is coupled to the view that there is an important connection between knowledge and action. On the other hand, one can argue for the less radical thesis only that there is an important connection between knowledge and practical reasoning. So, (...) defenders of both of these views endorse the view that knowledge is the norm of practical reasoning. This thesis has recently come under heavy fire and a number of weaker proposals have been defended. In this paper counter-examples to the knowledge norm of reasoning will be presented and it will be argued that this viewand a number of related but weaker viewscannot be sustained in the face of these counter-examples. The paper concludes with a novel proposal concerning the norm of practical reasoning that is immune to the counter-examples introduced here. (shrink)

It is a commonplace belief that many beliefs, e.g. religious convictions, are a purely private matter, and this is meant in some way to serve as a defense against certain forms of criticism. In this paper it is argued that this thesis is false, and that belief is really often a public matter. This argument, the publicity of belief argument, depends on one of the most compelling and central thesis of Peircean pragmatism. This crucial thesis is that bona fide belief (...) cannot be separated from action. It is then also suggested that we should accept a form of W. K. Clifford's evidentialism. When these theses are jointly accepted in conjunction with the basic principle of ethics that it is prima facie wrong to act in such a way that may subject others to serious but unnecessary and avoidable harm, it follows that many beliefs are morally wrong. (shrink)

In this paper I argue that Michael Friedman's conception of the contitutive a priori faces two serious problems. These two problems show that the view collapses into a form of conventionalism.

Almost all philosophers interested in parthood and composition think that a composite object is a further thing, numerically distinct from the objects that compose it. Call this the orthodox view. I argue that the orthodox view is false, and that a composite object is identical to the objects that compose it (collectively). This view is known as composition as identity. -/- I argue that, despite its unpopularity, there are many reasons to favour com- position as identity over the orthodox view. (...) First, defenders of the orthodox view have not offered complete theories of composition. For instance, they have not given adequate accounts of heterogeneous properties like being black and white in composite objects. Nor have they given satisfactory explanations for the necessary connections that hold between composite objects and their proper parts. -/- Second, there appears to be no good way for defenders of the orthodox view to remedy this. Any account of the heterogeneous properties of composite objects which is compatible with the orthodox view faces serious problems, as does any account of the necessary connections between an object and its proper parts. Composition as identity, on the other hand, is compatible with intuitive responses to both of these challenges. -/- Third, there are a number of strong arguments in favour of composition as identity. For example, composition as identity fits our evidence about the way the world is better than the orthodox view does. It also allows us to easily maintain that composition sometimes occurs and sometimes does not—i.e., it allows us to easily maintain that composition is restricted. The orthodox view does not. The theories of composition put forward by most philosophers are at best incomplete or in need of improvement. At worst, they are false and composition as identity is true. (shrink)

Navigating Postmodern Theology: Insights from Jean-Luc Marion and Gianni Vattimo’s Philosophy provides an introduction to these two authors in relation to theology and metaphysics. This book invites the reader to consider new ways of thinking about theology in a postmetaphysical way, grounded in Marion’s phenomenology and Vattimo’s philosophy.

By re-examining Nietzsche's notion of the “eternal-feminine” and his views on women and feminism, this volume offers new perspectives on some of his key ideas. It brings together a diverse group of scholars to critically engage with Nietzsche's use of late-19th-century gender stereotypes and the ways in which they served his critique of values, including his use of “woman” as a trope for truth. -/- Among other subjects, the contributors consider the role of psychology in Nietzsche's thought, his concern with (...) style, self-creation, and advocacy of perfectionism, his views on romantic love and marriage, and his aim of revaluing all values to instigate a distant philosophy of the future. They investigate parallels between Nietzsche's thought and Shaktism, his relation to Goethe and Stendahl, and his influence on Beauvoir, Butler, and Dohm. With the inclusion of two seminal essays on Nietzsche and women by Lawrence J. Hatab and Kelly Oliver, the volume also illustrates some of the ways in which scholarship on these subjects has evolved over the last four decades. -/- Providing fresh insights into these inter-related subjects, Nietzsche on Women and the Eternal-Feminine highlights the enduring relevance of his thought and its still-underappreciated potential for re-thinking both the bases for and aims of feminism and other emancipatory movements. (shrink)

Some recent work by philosophers of mathematics has been aimed at showing that our knowledge of the existence of at least some mathematical objects and/or sets can be epistemically grounded by appealing to perceptual experience. The sensory capacity that they refer to in doing so is the ability to perceive numbers, mathematical properties and/or sets. The chief defense of this view as it applies to the perception of sets is found in Penelope Maddy’s Realism in Mathematics, but a number of (...) other philosophers have made similar, if more simple, appeals of this sort. For example, Jaegwon Kim (1981, 1982), John Bigelow (1988, 1990), and John Bigelow and Robert Pargetter (1990) have all defended such views. The main critical issue that will be raised here concerns the coherence of the notions of set perception and mathematical perception, and whether appeals to such perceptual faculties can really provide any justification for or explanation of belief in the existence of sets, mathematical properties and/or numbers. (shrink)

In this paper it is argued that three of the most prominent theories of conditional acceptance face very serious problems. David Lewis' concept of imaging, the Ramsey test and Jonathan Bennett's recent hybrid view all face viscious regresses, or they either employ unanalyzed components or depend upon an implausibly strong version of doxastic voluntarism.

A model of face representation, inspired by the biology of the visual system, is compared to experimental data on the perception of facial similarity. The face representation model uses aggregate primary visual cortex (V1) cell responses topographically linked to a grid covering the face, allowing comparison of shape and texture at corresponding points in two facial images. When a set of relatively similar faces was used as stimuli, this Linked Aggregate Code (LAC) predicted human performance in similarity judgment experiments. When (...) faces of perceivable categories were used, dimensions such as apparent sex and race emerged from the LAC model without training. The dimensional structure of the LAC similarity measure for the mixed category task displayed some psychologically plausible features but also highlighted differences between the model and the human similarity judgements. The human judgements exhibited a racial perceptual bias that was not shared by the LAC model. The results suggest that the LAC based similarity measure may offer a fertile starting point for further modelling studies of face representation in higher visual areas, including studies of the development of biases in face perception. (shrink)