Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...) meet them, who have explicitly invoked virtues in discussing what is necessary for a mathematician to succeed. In both ethics and epistemology, virtue theory tends to emphasize character virtues, the acquired excellences of people. But people are not the only sort of thing whose excellences may be identified as virtues. Theoretical virtues have attracted attention in the philosophy of science as components of an account of theory choice. Within the philosophy of mathematics, and mathematics itself, attention to virtues has emerged from a variety of disparate sources. Theoretical virtues have been put forward both to analyse the practice of proof and to justify axioms; intellectual virtues have found multiple applications in the epistemology of mathematics; and ethical virtues have been offered as a basis for understanding the social utility of mathematical practice. Indeed, some authors have advocated virtue epistemology as the correct epistemology for mathematics (and perhaps even as the basis for progress in the metaphysics of mathematics). This topical collection brings together several of the researchers who have begun to study mathematical practices from a virtue perspective with the intention of consolidating and encouraging this trend. (shrink)

Argument that priority monism is best understood as being a contingent thesis.

Discussion of atomistic and monistic theses about abstract reality.

Characterization of a form of explanation involving grounding on the model of mechanistic causal explanation.

Discussion of the challenge that acquaintance with the nature of experience poses to physicalism.

Argument that full grounds modally entail what they ground.

Discussion of a metaphysical sense of 'inheritance' and cognate notions relevant to fundamentality.

Discussion of partial grounds that aren't parts of full grounds; definition of full grounding in terms of partial grounding.

Response to Gover (2015) on Trogdon and Livingston (2015) on artwork completion.

General discussion of grounding, including its formal features, relations to other notions, and applications.

Defense of incompletable grounding and discussion of implications for ontological economy.

There is strong disagreement about whether indicative conditionals have truth values. In this paper, I present a new argument for the conclusion that indicative conditionals have truth values based on the claim that some true statements entail indicative conditionals. I then address four arguments that conclude that indicative conditionals lack truth values, showing them to be inadequate. Finally, I present further benefits to having a worldly view of conditionals, which supports the assignment of truth values to indicative conditionals. I conclude (...) that certain types of account of indicative conditionals, which have been ignored in the literature partly on the basis of assigning truth values to indicative conditionals, deserve consideration. (shrink)

The Swiss psychologist Jean Piaget contends that children below the age of 12 see no necessity for the logical law of non-contradiction. I argue this view is problematic. First of all, Piaget's dialogues with children which are considered supportive of this position are not clearly so. Secondly, Piaget underestimates the necessary nature of following the logical law of non-contradiction in everyday discourse. The mere possibility of saying something significant and informative at all presupposes that the law of non-contradiction is enforced.

Do the senses represent causation? Many commentators read Nicolas Malebranche as anticipating David Hume’s negative answer to this question. I disagree with this assessment. When a yellow billiard ball strikes a red billiard ball, Malebranche holds that we see the yellow ball as causing the red ball to move. Given Malebranche’s occasionalism, he insists that the visual experience of causal interaction is illusory. Nevertheless, Malebranche holds that the senses represent finite things as causally efficacious. This experience of creaturely causality explains (...) why Aristotelian philosophers and others struggle to recognize occasionalism’s truth. (shrink)

Consider the distinctive qualitative property grass visually appears to have when it visually appears to be green. This property is an example of what I call sensuous color. Whereas early modern mechanists typically argue that bodies are not sensuously colored, Margaret Cavendish (1623–73) disagrees. In cases of veridical perception, she holds that grass is green in precisely the way it visually appears to be. In defense of her realist approach to sensuous colors, Cavendish argues that (i) it is impossible to (...) conceive of colorless bodies, (ii) the very possibility of color experience requires that bodies are sensuously colored, and (iii) the attribution of sensuous colors to bodies provides the best explanation of color constancy. Although some passages might suggest that Cavendish endorses a reductive account of sensuous color, according to which sensuous color reduces to a body's microscopic surface texture (or some other mechanistically respectable property), I argue that she accepts a nonreductive account, on which sensuous color is not thus reducible. (shrink)

Kant holds that the applicability of the moral ‘ought’ depends on a kind of agent-causal freedom that is incompatible with the deterministic structure of phenomenal nature. I argue that Kant understands this determinism to threaten not just morality but the very possibility of our status as rational beings. Rational beings exemplify “cognitive control” in all of their actions, including not just rational willing and the formation of doxastic attitudes, but also more basic cognitive acts such as judging, conceptualizing, and synthesizing.

Discussion of grounding-theoretic accounts of truthmaking in terms of the theoretical role of “catching cheaters”.

Primatologists generally agree that monkeys lack higher-order intentional capacities related to theory of mind. Yet the discovery of the so-called "mirror neurons" in monkeys suggests to many neuroscientists that they have the rudiments of intentional understanding. Given a standard philosophical view about intentional understanding, which requires higher-order intentionahty, a paradox arises. Different ways of resolving the paradox are assessed, using evidence from neural, cognitive, and behavioral studies of humans and monkeys. A decisive resolution to the paradox requires substantial additional empirical (...) work and perhaps a rejection of the standard philosophical view. (shrink)

Call the idea that states of perceptual awareness have intentional content, and in virtue of that aim at or represent ways the world might be, the ‘Content View.’ I argue that though Kant is widely interpreted as endorsing the Content View there are significant problems for any such interpretation. I further argue that given the problems associated with attributing the Content View to Kant, interpreters should instead consider him as endorsing a form of acquaintance theory. Though perceptual acquaintance is controversial (...) in itself and in attribution to Kant, it promises to make sense of central claims within his critical philosophy. (shrink)

I argue that Kant’s distinction between the cognitive roles of sensibility and understanding raises a question concerning the conditions necessary for objective representation. I distinguish two opposing interpretive positions—viz. Intellectualism and Sensibilism. According to Intellectualism all objective representation depends, at least in part, on the unifying synthetic activity of the mind. In contrast, Sensibilism argues that at least some forms of objective representation, specifically intuitions, do not require synthesis. I argue that there are deep reasons for thinking that Intellectualism is (...) incompatible with Kant's view as expressed in the Transcendental Aesthetic. We can better see how Kant’s arguments in the first Critique may be integrated, I suggest, by examining his notion of the 'unity' [Einheit] of a representation. I articulate two distinct ways in which a representation may possess unity and claim that we can use these notions to integrate Kant’s arguments in the Aesthetic and the Transcendental Deduction without compromising the core claims of either Sensibilism or Intellectualism—that intuition is a form of objective representation independent of synthesis, and that the kind of objective representations that ground scientific knowledge of the world require synthesis by the categories. (shrink)

Amendment of the Witmer, Butchard, and Trogdon (2005) account of intrinsic properties with the aim of neutrality between competing theories of what is fundamental.

One of the central debates in contemporary Kant scholarship concerns whether Kant endorses a “conceptualist” account of the nature of sensory experience. Understanding the debate is crucial for getting a full grasp of Kant's theory of mind, cognition, perception, and epistemology. This paper situates the debate in the context of Kant's broader theory of cognition and surveys some of the major arguments for conceptualist and non-conceptualist interpretations of his critical philosophy.

Starting from the assumption that Kant allows for the possible existence of conscious sensory states in non-rational animals, I examine the textual and philosophical grounds for his acceptance of the possibility that such states are also 'objective'. I elucidate different senses of what might be meant in crediting a cognitive state as objective. I then put forward and defend an interpretation according to which the cognitive states of animals, though extremely limited on Kant's view, are nevertheless minimally objective.

Investigation of a puzzle concerning complete yet authorless artworks.

In the _Meditations_ and related texts from the early 1640s, Descartes argues that the self can be correctly considered as either a mind or a human being, and that the self’s properties vary accordingly. For example, the self is simple considered as a mind, whereas the self is composite considered as a human being. Someone might object that it is unclear how merely considering the self in different ways blocks the conclusion that a single subject of predication—the self—is both simple (...) and composite, which is contradictory. In response to this objection, this paper develops a reading of Descartes’s various ways of considering the self. I argue that the best reading of Descartes’s qualified claims about the self, i.e., about the self _qua_ mind or the self qua human being, presupposes an account of the unqualified self, that is, of the self _simpliciter_. I argue that the self _simpliciter_ is not a mind, and that it is not a human being either. This result might suggest the pessimistic conclusion that Descartes’s view of the self is incoherent. To avoid this result, I introduce a new metaphysical account of the Cartesian self. On my view, the self is individuated by a unified mental life. The self is constituted by the beings that jointly produce this mental life, and derives its unity from it. (shrink)

Contrary to political and philosophical consensus, we argue that the threats posed by climate change justify population engineering, the intentional manipulation of the size and structure of human populations. Specifically, we defend three types of policies aimed at reducing fertility rates: choice enhancement, preference adjustment, and incentivization. While few object to the first type of policy, the latter two are generally rejected because of their potential for coercion or morally objectionable manipulation. We argue that forms of each policy type are (...) pragmatically and morally justified tools for preventing the harms of global climate change. (shrink)

Although Descartes and Malebranche argue that we are immaterial thinking things, they also maintain that each of us stands in a unique experiential relation to a single human body, such that we feel as though this body belongs to us and is part of ourselves. This paper examines Descartes’s and Malebranche’s accounts of this feeling. They hold that our experience of being embodied is grounded in affective bodily sensations that feel good or bad: namely, sensations of pleasure and pain, hunger (...) and thirst, and so on. These bodily sensations ground our experiential identification with the body because they represent the body’s needs and interests as though they were own, such that we experience an important aspect of our well-being as consisting in the preservation of the body. According to these Cartesians, then, we feel embodied in part because we experience ourselves as having a bodily good. (shrink)

Defense of a psychological account of what it is for an artwork to be complete.

In this paper I argue that selection of the best theory of content is not a matter for mere philosophical reflection on the consequences of each theory for our intuitive judgments about content. Rather, the theories must be judged in a different way that is based on the putative roles of content attribution in the behavioural sciences. The ultimate test of any theory of content will be the success of the sciences that adopt it. Furthermore, alternative semantic theories may be (...) seen as complementary rather than antagonistic. Different approaches to content specification may well be compatible, reflecting different but perhaps equally legitimate explanatory goals. (shrink)

In this chapter, I argue that Kant can be read as holding that "ought" judgments follow from certain "is" judgments by mere analysis. More specifically, I defend an interpretation according to which (1) Kant holds that “S ought to F” is analytically equivalent to “If, as it can and would were there no other influences on the will, S’s faculty of reason determined S’s willing, S would F” and (2) Kant’s notions of reason, the will, and freedom are all fundamentally (...) non-normative. Not only does this reading have significant textual support, but, I claim, it also sheds light on why Kant takes freedom and morality to mutually imply one another. Moreover, while Kant does take there to be a gap between moral judgments and empirical descriptive statements, that gap is consistent with the analysis in question. I conclude by arguing that this rejection of the is-ought gap is not as philosophically implausible as it might seem, with a focus on G.E. Moore and Hume’s arguments for certain ‘gaps’ between the normative and the non-normative. (shrink)

The complexities of how justice comes to be realized, and by which agents, is a relatively neglected element in contemporary theories of justice. This has left several crucial questions about agency and justice undertheorized, such as why some particular agents are responsible for realizing justice, how their contribution towards realizing justice should be understood, and what role agents such as activists and community leaders play in realizing justice. We aim to contribute towards a better understanding of the landscape of these (...) kinds of questions. First, we argue that theorists should distinguish between (i) agents who are responsible for realizing justice, but not committed to it, (ii) agents who are not responsible for realizing justice, but who are committed to it, and (iii) agents who are both responsible for and committed to realizing justice. Second, we discuss how to incorporate agents of justice more robustly into theorizing about justice. (shrink)

This chapter analyzes several key themes in Kant’s views about modality. We begin with the pre-critical Only Possible Argument in Support of a Demonstration of the Existence of God, in which Kant distinguishes between formal and material elements of possibility, claims that all possibility requires an actual ground, and argues for the existence of a single necessary being. We then briefly consider how Kant’s views change in his mature period, especially concerning the role of form and thought in defining modality. (...) Kant’s mature views, however, present two difficult interpretive puzzles. The first puzzle concerns whether Kant has a generally reductive view of modality. While Kant’s views on logical modality, the role of actuality in grounding possibility, and the relation of modality to cognition all suggest reduction, we argue that the categorial status of modal concepts and the difficulty in even identifying amodal grounds for modal facts all suggest a non-reductive view. The second puzzle concerns whether Kant accepts modal facts or properties at the noumenal level. While Kant’s appeal to noumenal necessary connections, the contingency of noumenal willing, and the idea of a necessary noumenal being suggest that he endorses noumenal modality, his claims that modal concepts express only relations to the faculty of cognition and his claim that modal concepts arise from our distinctive psychological structures, we argue, suggest that he rejects noumenal modality. We conclude by considering potential solutions to these puzzles. (shrink)

Grounding-theoretic account of the notion of transparency relevant to the explanatory gap between the mental and physical.

Kant’s conception of the centrality of intellectual self-consciousness, or “pure apperception”, for scientific knowledge of nature is well known, if still obscure. Here I argue that, for Kant, at least one central role for such self-consciousness lies in the acquisition of the content of concepts central to metaphysical theorizing. I focus on one important concept, that of <substance>. I argue that, for Kant, the representational content of the concept <substance> depends not just on the capacity for apperception, but on the (...) actual intellectual awareness of oneself in such apperception. I then defend this interpretation from a variety of objections. (shrink)

Clinical ethics consultants (CECs) are not moral authorities. Standardization of CECs’ professional role does not confer upon them moral authority. Certification of particular CECs does not confer upon them moral authority (nor does it reflect such authority). Or, so we will argue. This article offers a distinctly Orthodox Christian response to those who claim that CECs—or any other academically trained bioethicist—retain moral authority (i.e., an authority to know and recommend the right course of action). This article proceeds in three parts. (...) First, we discuss recent movements toward the certification of CECs in the United States, focusing primarily on proposals and programs put forth by the American Society for Humanities and Bioethics (ASBH). Second, we outline two secular reasons to be concerned about the relevant trends toward certification. For one thing, certification is currently being advanced via political dominance, rather than gaining authority by reliance on rigorous philosophical argument or reason. For another, the trends operate on the assumption that there exists a secular, content-full, canonical, morality. There is no such morality. Next, we argue that Orthodox Christians should resist the current trends toward certification of CECs. Specifically, we unpack ways in which the ASBH’s certification program (and those like it) conflict with Orthodox claims about moral authority and the moral life more generally. We conclude that Orthodox Christians should resist the current certification trends. (shrink)

According to strong metaphysical readings of Kant, Kant believes there are noumenal substances and causes. Proponents of these readings have shown that these readings can be reconciled with Kant’s claims about the limitations of human cognition. An important new challenge to such readings, however, has been proposed by Markus Kohl, focusing on Kant’s occasional statements about the divine or intuitive intellect. According to Kohl, how an intuitive intellect represents is a decisive measure for how noumena are for Kant, but an (...) intuitive intellect would not represent using metaphysical categories like those of substance and causation. I argue that Kohl’s argument does not succeed, since it overlooks the possibility that the intuitive intellect only indirectly represents certain noumenal facts. In addition, in response to a secondary argument Kohl suggests, I argue that Kant’s apparently anti-metaphysical statements about the content of the categories can be read as merely describing the constitution of the categories, instead of what they represent. Thus, while Kohl advances the debate by raising an under-appreciated question, his argument against the strong metaphysical reading is unsound. (shrink)

Data increasingly drive our lives. Often presented as a new trajectory, the deep immersion of our lives in data has a history that is well over a century old. By revisiting the work of early pioneers of what would today be called data science, we can bring into view both assumptions that fund our data-driven moment as well as alternative relations to data. I here excavate insights by contrasting a seemingly unlikely pair of early data technologists, Francis Galton and W.E.B. (...) Du Bois. Galton, well known for his contributions to eugenics, was first and foremost a tinkering technician of measure. There are numerous domains of science over which Galtonian conceptions retain considerable influence, presumably without his pride in racial inequality. A more viable, because more egalitarian, alternative for the present can be found in the early data work of Du Bois. (shrink)

Cissexist perception involves a prejudicial judgment and an unmediated affective response, such as that of disgust, directed at the gendered aspects of another person. In this paper, I advance a view of how cissexist perception harms disabled people. On this view, there at least two morally problematic aspects of cissexist perception: that it has painful effects, and that it restricts bodily agency. I defend this claim through an analysis of a double bind faced by people subjected to cissexist perception: on (...) the one hand, such individuals are pressured into avoiding certain environments to dodge dangerous predicaments that can arise on behalf of looking different from others; this constitutes unfair exclusion from an environment and under some conditions causes pain. On the other hand, to avoid dangerous predicaments, targets of cissexist perception are pressured into concealing their gender non-conformity to fit into certain environments; concealing frustrates their bodily agency. I conclude with remarks about how trans-affirming artwork may have the capacity to interrupt cissexist perception. (shrink)

According to the truthmaker theory that we favour, all contingent truths are made true by existing facts or states of affairs. But if that is so, then it appears that we must accept the existence of the negative facts that are required to make negative truths (such as 'There is no hippopotamus in the room.') true. We deny the existence of negative facts, show how negative truths are made true by positive facts, point out where the (reluctant) advocates of negative (...) facts (Russell, Armstrong, et al.) went wrong, and demonstrate the superiority of our solution to the alternatives. (shrink)

Disproof of heaven? -- Brain and gods -- The rational stance -- Reason and belief in God -- Against naturalism -- Atheism, inference, and IQ -- Atheism, autism, and intellectual humility -- Googling God -- Inference, intuition, and rationality.

In this paper I explicate the notion of “presence” [Gegenwart] as it pertains to intuition. Specifically, I examine two central problems for the position that an empirical intuition is an immediate relation to an existing particular in one’s environment. The first stems from Kant’s description of the faculty of imagination, while the second stems from Kant’s discussion of hallucination. I shall suggest that Kant’s writings indicate at least one possible means of reconciling our two problems with a conception of “presence” (...) such that perceptual and hallucinatory states might be understood as different kinds of intuition. This may not be sufficient to secure the relationalist’s claim that intuition is an immediate relation to an existing particular in one’s environment, but it does show that opposition to this claim will require further argument. (shrink)

Being social creatures in a complex world, we do things together. We act jointly. While cooperation, in its broadest sense, can involve merely getting out of each other’s way, or refusing to deceive other people, it is also essential to human nature that it involves more active forms of collaboration and coordination (Tomasello 2009; Sterelny 2012). We collaborate with others in many ordinary activities which, though at times similar to those of other animals, take unique and diverse cultural and psychological (...) forms in human beings. But we also work closely and interactively with each other in more peculiar and flexible practices which are in distinctive ways both species-specific and culturally and historically contingent: from team sports to shared labour, from committee work to mass demonstrations, from dancing to reminiscing together about old times. (shrink)

In 'On the nature of truth and falsehood' Russell offers both a multiple relation theory of judgment and a correspondence theory of truth. It has been a prevailing understanding of the Tractatus that Wittgenstein rejects Russell’s multiple relation idea but endorses the correspondence theory. Ramsey took the opposite view. In his 'Facts and Propositions', Ramsey endorses Russell’s multiple relation idea, rejects the correspondence theory, and then asserts that these moves are both due to Wittgenstein. This chapter will argue that Ramsey’s (...) ascriptions are both correct. The extent of the agreement between Ramsey and Wittgenstein will be argued, moreover, to count definitively against standard understandings of Ramsey as a redundancy theorist of truth. Wittgenstein is no correspondence theorist and Ramsey is no redundancy theorist; rather, both philosophers offer identity theories of truth. (shrink)

On the traditional reading, Schopenhauer claims that compassion is the recognition of deep metaphysical unity. In this paper, I defend and develop the traditional reading. I begin by addressing three recent criticisms of that reading from Sandra Shapshay: that it fails to accommodate Schopenhauer's restriction to sentient beings, that it cannot explain his moral ranking of egoism over malice, and that Schopenhauer requires some level of distinction to remain in compassion. Against Shapshay, I argue that Schopenhauer does not restrict compassion (...) to sentient beings and that a more metaphysically refined version of the traditional reading can accommodate both Schopenhauer's moral ranking of characters and allow for some level of distinction in compassion. I then turn to four further questions for the traditional reading: what the relation is between the feeling of compassionate pain and the recognition of metaphysical unity, how cognitions mediate compassion, whether compassion is limited to the present, and how the feeling of compassion relates to Schopenhauer's fundamental moral principle. I conclude by explaining how, in a reductive vein, the traditional reading can also allow for compassion to have normative content. (shrink)

This book offers a ground-up defense of objective morality, drawing inspiration from a wide range of philosophers, including John Locke, Arthur Schopenhauer, Iris Murdoch, Nel Noddings, and David Lewis. The core claim is compassion is our capacity to perceive other creatures' pains, pleasures, and desires. Non-compassionate people are therefore perceptually lacking, regardless of how much factual knowledge they might have. Marshall argues that people who do have this form of compassion thereby fit a familiar paradigm of moral goodness. His argument (...) involves the identification of an epistemic good which Marshall dubs "being in touch". To be in touch with some property of a thing requires experiencing it in a way that reveals that property - that is, experiencing it as it is in itself. Only compassion, Marshall argues, lets us be in touch with others' motivational mental properties. -/- This conclusion about compassion has two important metaethical consequences. First, it generates an answer to the question ";Why be moral?", which has been a central philosophical concern since Plato. Second, it provides the keystone for a novel form of moral realism. This form of moral realism has a distinctive set of virtues: it is anti-relativist, naturalist, and able to identify a necessary connection between moral representation and motivation. The view also implies that there is an epistemic asymmetry between virtuous and vicious agents, according to which only morally good people can fully face reality. (shrink)

Despite widespread recognition of an emergent politics of data in our midst, we strikingly lack a political theory of data. We readily acknowledge the presence of data across our political lives, but we often do not know how to conceptualize the politics of all those data points—the forms of power they constitute and the kinds of political subjects they implicate. Recent work in numerous academic disciplines is evidence of the first steps toward a political theory of data. This article maps (...) some limits of this emergent literature with an eye to enriching its theoretical range. The literature on data politics, both within political theory and elsewhere, has thus far focused almost exclusively on the algorithm. This article locates a further dimension of data politics in the work of formatting technology or, more simply, formats. Formats are simultaneously conceptual and technical in the ways they define what can even count as data, and by extension who can count as data and how they can count. A focus on formats is of theoretical value because it provides a bridge between work on the conceptual contours of categories and the technology-centric literature on algorithms that tends to ignore the more conceptual dimensions of data technology. The political insight enabled by format theory is shown in the context of an extended interrogation of the politics of racialized redlining. (shrink)

Malebranche holds that the feeling of having a body comes in three main varieties. A perceiver sensorily experiences herself (1) as causally connected to her body, in so far as the senses represent the body as causing her sensory experiences and as uniquely responsive to her will, (2) as materially connected to her body, in so far as the senses represent the perceiver as a material being wrapped up with the body, and (3) as perspectivally connected to her body, in (...) so far as the external senses represent the world from the body’s perspective. In addition to distinguishing these varieties of embodied experience, I explain why the perceiver experiences her connection to the body in these ways. Although Malebranche often casts the experience of embodiment in a negative light, his considered view is that this experience contributes to our survival and salvation. (shrink)

Malebranche holds that visual experience represents the size of objects relative to the perceiver's body and does not represent objects as having intrinsic or nonrelational spatial magnitudes. I argue that Malebranche's case for this body-relative thesis is more sophisticated than other commentators—most notably, Atherton and Simmons —have presented it. Malebranche's central argument relies on the possibility of perceptual variation with respect to size. He uses two thought experiments to show that perceivers of different sizes—namely, miniature people, giants, and typical human (...) beings—can experience the very same objects as having radically different sizes. Malebranche argues that there is no principled reason to privilege one of these ways of experiencing size over the others and, more specifically, that all three kinds of perceivers experience size veridically. From the possibility of this kind of veridical perceptual variation, Malebranche infers that visual experience represents only body-relative size. (shrink)

A large chorus of voices has grown around the claim that theistic belief is epistemically suspect since, as some cognitive scientists have hypothesized, such beliefs are a byproduct of cognitive mechanisms which evolved for rather different adaptive purposes. This paper begins with an overview of the pertinent cognitive science followed by a short discussion of some relevant epistemic concepts. Working from within a largely Williamsonian framework, we then present two different ways in which this research can be formulated into an (...) argument against theistic belief. We argue that neither version works. (shrink)