Visual illusions of number provide a means of investigating the rules and principles through which approximate number representations are formed. Here, we investigated the developmental trajectory of an important numerical illusion – the connectedness illusion, wherein connecting pairs of items with thin lines reduces their perceived number without altering continuous attributes of the collections. We found that children as young as 5 years of age are affected by the illusion and that the magnitude of the effect increased into adulthood. Moreover, (...) individuals with greater numerical acuity exhibited stronger connectedness illusions after controlling for age. Overall, these results suggest the approximate number system expects to enumerate over bounded wholes and doing so is a signature of its optimal functioning. (shrink)

It is often assumed that adaptation — a temporary change in sensitivity to a perceptual dimension following exposure to that dimension — is a litmus test for what is and is not a “primary visual attribute”. Thus, papers purporting to find evidence of number adaptation motivate a claim of great philosophical significance: That number is something that can be seen in much the way that canonical visual features, like color, contrast, size, and speed, can. Fifteen years after its reported discovery, (...) number adaptation’s existence seems to be nearly undisputed, with dozens of papers documenting support for the phenomenon. The aim of this paper is to offer a counterweight — to critically assess the evidence for and against number adaptation. After surveying the many reasons for thinking that number adaptation exists, we introduce several lesser-known reasons to be skeptical. We then advance an alternative account — the old news hypothesis — which can accommodate previously published findings while explaining various (otherwise unexplained) anomalies in the existing literature. Next, we describe the results of eight pre-registered experiments which pit our novel old news hypothesis against the received number adaptation hypothesis. Collectively, the results of these experiments undermine the number adaptation hypothesis on several fronts, whilst consistently supporting the old news hypothesis. More broadly our work raises questions about the status of adaptation itself as a means of discerning what is and is not a visual attribute. (shrink)

Does the visual system adapt to number? For more than fifteen years, most have assumed that the answer is an unambiguous “yes”. Against this prevailing orthodoxy, we recently took a critical look at the phenomenon, questioning its existence on both empirical and theoretical grounds, and providing an alternative explanation for extant results (the old news hypothesis). We subsequently received two critical responses. Burr, Anobile, and Arrighi rejected our critiques wholesale, arguing that the evidence for number adaptation remains overwhelming. Durgin questioned (...) our old news hypothesis — preferring instead a theory about density adaptation he has championed for decades — but also highlighted several ways in which our arguments do pose serious challenges for proponents of number adaptation. Here, we reply to both. We first clarify our position regarding number adaptation. Then, we respond to our critics’ concerns, highlighting seven reasons why we remain skeptical about number adaptation. We conclude with some thoughts about where the debate may head from here. (shrink)

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that these (...) ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

Visual number adaption is a widely accepted phenomenon. This paper advances an alternative explanation for putative cases of the phenomenon. We propose that such cases may simply reflect observers adapting to the items in perceived displays, rather than their numerical quantity. Three experiments motivate consideration of this novel proposal and call into question the evidential basis for received formulations of the number adaptation hypothesis.

In this volume, a range of high-profile researchers in philosophy of mind, philosophy of cognitive science, and empirical cognitive science, critically engage with Clark's work across the themes of: Extended, Embodied, Embedded, Enactive, and Affective Minds; Natural Born Cyborgs; and Perception, Action, and Prediction. Daniel Dennett provides a foreword on the significance of Clark's work, and Clark replies to each section of the book, thus advancing current literature with original contributions that will form the basis for new (...) discussions, debates and directions in the discipline. (shrink)

Epistemology is the study of knowledge. This entry covers epistemology in two parts: one historical, one contemporary. The former provides a brief theological history of epistemology. The latter outlines three categories of contemporary epistemology: traditional epistemology, social epistemology, and formal epistemology, along with corresponding theological questions that arise in each.

To become a public figure or celebrity, I claim, is to exist alongside a zombie version of yourself. This zombie shares the same name and physical likeness but operates independently of its flesh-and-blood counterpart. In fact, public figures do not have any special authority over the zombie version of themselves, and in some contexts, they enjoy less authority over their zombie counterparts than others do. In the US, for example, public figures are not legally entitled to protections against criticism via (...) parody, which can include unauthorized use of their likeness for offensive images, insulting jokes, and other forms of public mockery. As Michel Foucault observed, a work is entitled to become the “murderer” of its author, which suggests that the author’s name exists among the living dead. An artist’s works can bear their name yet operate independently of their attitudes or mental states. In June of 2019, the master rights to Taylor Swift’s first six albums were sold without her knowledge or consent, effectively “murdering” her rights as their author. Swift’s 2019 decision to re-record her first six studio albums can thus be understood as an act of institutional revenge, a way to get back at the people who have wielded power over her and the institutions that enable exploitation—a battle with her zombified works: the “stolen” original albums. In this chapter I sketch an institutional theory of celebrity names to explain the institutional, personal, and political significance of self-appropriation, using Taylor Swift’s act of re-recording her own music as a paradigm case. (shrink)

Pascal’s wager is unique among theistic arguments. It does not aim to establish that God exists but instead concludes that you ought to believe in, or wager on, God. In this chapter, I provide an overview of Pascal’s wager and discuss different approaches to the wager. Then, I consider how to motivate a wager for Christianity in particular. I also address common Christian objections to the wager. Finally, I cover the practical importance of Pascal’s wager for both Christians and non-Christians.

I explore how rational belief and rational credence relate to evidence. I begin by looking at three cases where rational belief and credence seem to respond differently to evidence: cases of naked statistical evidence, lotteries, and hedged assertions. I consider an explanation for these cases, namely, that one ought not form beliefs on the basis of statistical evidence alone, and raise worries for this view. Then, I suggest another view that explains how belief and credence relate to evidence. My view (...) focuses on the possibilities that the evidence makes salient. I argue that this makes better sense of the difference between rational credence and rational belief than other accounts. (shrink)

In this paper, I argue that the relationship between belief and credence is a central question in epistemology. This is because the belief-credence relationship has significant implications for a number of current epistemological issues. I focus on five controversies: permissivism, disagreement, pragmatic encroachment, doxastic voluntarism, and the relationship between doxastic attitudes and prudential rationality. I argue that each debate is constrained in particular ways, depending on whether the relevant attitude is belief or credence. This means that epistemologists should pay attention (...) to whether they are framing questions in terms of belief or in terms of credence and the success or failure of a reductionist project in the belief-credence realm has significant implications for epistemology generally. (shrink)

I defend belief-credence dualism, the view that we have both beliefs and credences and both attitudes are equally fundamental. First, I explain belief, credence, and three views on their relationship. Then, I argue for dualism. I do so first by painting a picture of the mind on which belief and credence are two cognitive tools that we use for different purposes. Finally, I respond to two objections to dualism. I conclude that dualism is a promising view, and one that both (...) epistemologists and philosophers of mind should take seriously. (shrink)

Permissivism is the thesis that, for some body of evidence and a proposition p, there is more than one rational doxastic attitude any agent with that evidence can take toward p. Proponents of uniqueness deny permissivism, maintaining that every body of evidence always determines a single rational doxastic attitude. In this paper, we explore the debate between permissivism and uniqueness about evidence, outlining some of the major arguments on each side. We then consider how permissivism can be understood as an (...) underdetermination thesis, and show how this moves the debate forward in fruitful ways: in distinguishing between different types of permissivism, in dispelling classic objections to permissivism, and in shedding light on the relationship between permissivism and evidentialism. (shrink)

Elizabeth Schechter explores the implications of the experience of people who have had the pathway between the two hemispheres of their brain severed, and argues that there are in fact two minds, subjects of experience, and intentional agents inside each split-brain human being: right and left. But each split-brain subject is still one of us.

Belief-credence dualism is the view that we have both beliefs and credences and neither attitude is reducible to the other. Pragmatic encroachment is the view that practical stakes can affect the epistemic rationality of states like knowledge or justified belief. In this paper, I argue that dualism offers a unique explanation of pragmatic encroachment cases. First, I explain pragmatic encroachment and what motivates it. Then, I explain dualism and outline a particular argument for dualism. Finally, I show how dualism can (...) explain the intuitions that underlie pragmatic encroachment. My basic proposal is that in high-stakes cases, it is not that one cannot rationally believe that p; instead, one ought not to rely on one's belief that p. One should rather rely on one's credence in p. I conclude that we need not commit ourselves to pragmatic encroachment in order to explain the intuitiveness of the cases that motivate it. (shrink)

Epistemic permissivism is the thesis that the evidence can rationally permit more than one attitude toward a proposition. Pascal’s wager is the idea that one ought to believe in God for practical reasons, because of what one can gain if theism is true and what one has to lose if theism is false. In this paper, I argue that if epistemic permissivism is true, then the defender of Pascal’s wager has powerful responses to two prominent objections. First, I argue that (...) if permissivism is true, then permissivism is true about theistic belief. Second, I show how epistemic permissivism about theistic belief dispels two objections to Pascal’s wager: the objection that wagering is impossible, and the objection that wagering is epistemically impermissible. (shrink)

If the world itself is metaphysically indeterminate in a specified respect, what follows? In this paper, we develop a theory of metaphysical indeterminacy answering this question.

Sometimes epistemologists theorize about belief, a tripartite attitude on which one can believe, withhold belief, or disbelieve a proposition. In other cases, epistemologists theorize about credence, a fine-grained attitude that represents one’s subjective probability or confidence level toward a proposition. How do these two attitudes relate to each other? This article explores the relationship between belief and credence in two categories: descriptive and normative. It then explains the broader significance of the belief-credence connection and concludes with general lessons from the (...) debate thus far. (shrink)

Many evidentialists are impermissivists. But there’s no in-principle reason for this. In this paper, I examine and motivate permissivist evidentialism. Not only are permissivism and evidentialism compatible but there are unique benefits that arise for this combination of views. In particular, permissivist evidentialism respects the importance of evidence while capturing its limitations and provides a plausible and attractive explanation of the relationship between the epistemic and non-epistemic. Permissivist evidentialism is thus an attractive option in logical space that hasn’t received enough (...) attention. (shrink)

Philosophical theories of gender are typically understood as theories of what it is to be a woman, a man, a nonbinary person, and so on. In this paper, I argue that this is a mistake. There’s good reason to suppose that our best philosophical theory of gender might not directly match up to or give the extensions of ordinary gender categories like ‘woman’.

Permissivism is the view that there are evidential situations that rationally permit more than one attitude toward a proposition. In this paper, I argue for Intrapersonal Belief Permissivism (IaBP): that there are evidential situations in which a single agent can rationally adopt more than one belief-attitude toward a proposition. I give two positive arguments for IaBP; the first involves epistemic supererogation and the second involves doubt. Then, I should how these arguments give intrapersonal permissivists a distinct response to the toggling (...) objection. I conclude that IaBP is a view that philosophers should take seriously. (shrink)

A question of recent interest in epistemology and philosophy of mind is how belief and credence relate to each other. A number of philosophers argue for a belief-first view of the relationship between belief and credence. On the belief-first view, what it is to have a credence just is to have a particular kind of belief, that is, a belief whose content involves probabilities or epistemic modals. Here, I argue against the belief-first view: specifically, I argue that it cannot account (...) for agents who have credences in propositions they barely comprehend. I conclude that, however credences differ from beliefs, they do not differ in virtue of adding additional content to the believed proposition. (shrink)

Metaphysical orthodoxy maintains that the relation of ontological dependence is irreflexive, asymmetric, and transitive. The goal of this paper is to challenge that orthodoxy by arguing that ontological dependence should be understood as non- symmetric, rather than asymmetric. If we give up the asymmetry of dependence, interesting things follow for what we can say about metaphysical explanation— particularly for the prospects of explanatory holism.

David Lewis is a natural target for those who believe that findings in quantum physics threaten the tenability of traditional metaphysical reductionism. Such philosophers point to allegedly holistic entities they take both to be the subjects of some claims of quantum mechanics and to be incompatible with Lewisian metaphysics. According to one popular argument, the non-separability argument from quantum entanglement, any realist interpretation of quantum theory is straightforwardly inconsistent with the reductive conviction that the complete physical state of the world (...) supervenes on the intrinsic properties of and spatio-temporal relations between its point-sized constituents. Here I defend Lewis's metaphysical doctrine, and traditional reductionism more generally, against this alleged threat from quantum holism. After presenting the non-separability argument from entanglement, I show that Bohmian mechanics, an interpretation of quantum mechanics explicitly recognized as a realist one by proponents of the non-separability argument, plausibly rejects a key premise of that argument. Another holistic worry for Humeanism persists, however, the trouble being the apparently holistic character of the Bohmian pilot wave. I present a Humean strategy for addressing the holistic threat from the pilot wave by drawing on resources from the Humean best system account of laws. (shrink)

I am grateful to Sean Carroll, Paul Horwich, and Sarah McGrath for their stimulating responses to Morality and Mathematics (M&M). Their arguments concern the reality of unapplied mathematics, the practical import of moral facts, and the deliberative and explanatory roles of evaluative theories. In what follows, I address their responses, as well as some broader issues.

I examine three attitudes: belief, faith, and hope. I argue that all three attitudes play the same role in rationalizing action. First, I explain two models of rational action—the decision-theory model and the belief-desire model. Both models entail there are two components of rational action: an epistemic component and a conative component. Then, using this framework, I show how belief, faith, and hope that p can all make it rational to accept, or act as if, p. I conclude by showing (...) how my picture can explain how action-oriented commitments can be rational over time, both in the face of counterevidence and in the face of waning affections. (shrink)

What gender are you? And in virtue of what? These are questions of gender categorization. Such questions are increasingly at the core of many contemporary debat.

Contemporary literature criticises a necessary link between empathy and actions that demonstrate genuine moral worth. If there is such a necessary link, many argue, it must come in the developmental stages of our moral capacities, rather than being found in the mental states that make up our motivating reasons. This paper goes against that trend, arguing that critics have not considered how wide-ranging the mental states are that make up a person’s reasons. In particular, it argues that empathy can play (...) a role in moral motivation when it is to some extent unconscious or it occurs far prior to the moral action itself. (shrink)

I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and visual imagery.

Social constructionism is often considered a form of anti-realism. But in contemporary feminist philosophy, an increasing number of philosophers defend views that are well-described as both realist and social constructionist. In this paper, I use the work of Sally Haslanger as an example of realist social constructionism. I argue: that Haslanger is best interpreted as defending metaphysical realism about social structures; that this type of metaphysical realism about the social world presents challenges to some popular ways of understanding metaphysical realism.

Elga's presentation of The Sleeping Beauty Problem is often misread, with analyses that impute extra premises and derive false answers to the problem as Elga presented it. Here it is shown that hewing to the text requires that the Sleeping Beauty's degree of belief in a coin flip upon her first awakening is 1/2.

In this article, I argue that mass incarceration belongs to a category of social status interventions by which the modern state either withholds the ordinary protections and benefits of the law from outlawed groups or subjects them to private punishment based on their mere membership in those groups. In the US these groups include immigrants and resident Latinos, the homeless, the poor and poor blacks, sex workers, and ex-convicts. Outlawry is a fundamentally anti-democratic practice that cannot be justified in terms (...) of deterrence and is incompatible with public safety. (shrink)

Faith is a trusting commitment to someone or something. Faith helps us meet our goals, keeps our relationships secure, and enables us to retain our commitments over time. Faith is thus a central part of a flourishing life. -/- This article is about the philosophy of faith. There are many philosophical questions about faith, such as: What is faith? What are its main components or features? What are the different kinds of faith? What is the relationship between faith and other (...) similar states, such as belief, trust, knowledge, desire, doubt, and hope? Can faith be epistemically rational? Practically rational? Morally permissible? -/- This article addresses these questions. It is divided into three main parts. The first is about the nature of faith. This includes different kinds of faith and various features of faith. The second discusses the way that faith relates to other states. For example, what is the difference between faith and hope? Can someone have faith that something is true even if they do not believe it is true? The third discusses three ways we might evaluate faith: epistemically, practically, and morally. While faith is not always rational or permissible, this section covers when and how it can be. The idea of faith as a virtue is also discussed. (shrink)

Much of the literature on the relationship between belief and credence has focused on the reduction question: that is, whether either belief or credence reduces to the other. This debate, while important, only scratches the surface of the belief-credence connection. Even on the anti-reductive dualist view, belief and credence could still be very tightly connected. Here, I explore questions about the belief-credence connection that go beyond reduction. This paper is dedicated to what I call the independence question: just how independent (...) are belief and credence? I look at this question from two angles: a descriptive one (as a psychological matter, how much can belief and credence come apart?) and a normative one (for a rational person, how closely connected are belief and credence?) Ultimately, I suggest that the two attitudes are more independent than one might think. (shrink)

Radical moral encroachment is the view that belief itself is morally evaluable, and that some moral properties of belief itself make a difference to epistemic rationality. To date, almost all proponents of radical moral encroachment hold to an asymmetry thesis: the moral encroaches on rational belief, but not on rational credence. In this paper, we argue against the asymmetry thesis; we show that, insofar as one accepts the most prominent arguments for radical moral encroachment on belief, one should likewise accept (...) radical moral encroachment on credence. We outline and reject potential attempts to establish a basis for asymmetry between the attitude types. Then, we explore the merits and demerits of the two available responses to our symmetry claim: (i) embracing moral encroachment on credence and (ii) denying moral encroachment on belief. (shrink)

Credences are similar to levels of confidence, represented as a value on the [0,1] interval. This chapter sheds light on questions about credence, including its relationship to full belief, with an eye toward the empirical relevance of credence. First, I’ll provide a brief epistemological history of credence and lay out some of the main theories of the nature of credence. Then, I’ll provide an overview of the main views on how credences relate to full beliefs. Finally, I’ll turn to the (...) empirical, and suggest some ways that cognitive science does and could answer questions about credence, such as what credences one has, how credences relate to beliefs, and the extent to which we can control our credences. (shrink)

Moderate skepticism about de se thought accepts that there is a kind of mental state which is about the thinker and is psychologically indispensable for intentional action, but rejects the claim that this kind employs an indexical way of referring. Morgan (2021) has proposed an explanatory argument meant to show that the psychological kind does employ an indexical way of referring to the thinker, on the basis of the special connection between these thoughts and the use of the first-person pronoun (...) (‘I’ in English), which does have an indexical semantics. This paper offers a clear motivation for the moderately skeptical position, shows that Morgan’s argument is based on a mistaken analysis of that special connection, and proposes a more viable alternative. However, on this alternative, the relationship between the psychological role of de se thoughts and the first person in language means Morgan’s explanatory argument cannot go through. (shrink)

I examine the relationship between taking Pascal’s wager, faith, and hope. First, I argue that many who take Pascal’s wager have genuine faith that God exists. The person of faith and the wagerer have several things in common, including a commitment to God and positive cognitive and conative attitudes toward God’s existence. If one’s credences in theism are too low to have faith, I argue that the wagerer can still hope that God exists, another commitment-justifying theological virtue. I conclude with (...) two upshots of the argument, including how it provides responses to common objections to Pascal’s wager. (shrink)

In this article, I argue that faith’s going beyond the evidence need not compromise faith’s epistemic rationality. First, I explain how some of the recent literature on belief and credence points to a distinction between what I call B-evidence and C-evidence. Then, I apply this distinction to rational faith. I argue that if faith is more sensitive to B-evidence than to C-evidence, faith can go beyond the evidence and still be epistemically rational.

Many think that Pascal’s Wager is a hopeless failure. A primary reason for this is because a number of challenging objections have been raised to the wager, including the “many gods” objection and the “mixed strategy” objection. We argue that both objections are formal, but not substantive, problems for the wager, and that they both fail for the same reason. We then respond to additional objections to the wager. We show how a version of Pascalian reasoning succeeds, giving us a (...) reason to pay special attention to the infinite consequences of our actions. (shrink)

The literature on faith has largely focused on the relationship between faith and belief, specifically the question: does faith entail belief? At the same time, it’s also widely held that faith involves a desire or pro-attitude, but more attention has been paid to the specifics of faith’s doxastic component than to faith’s affective component. This paper focuses on the relationship between faith and desire. I’ll argue that faith is weakly positive: while faith may not always involve a flat-out desire, faith (...) necessarily involves a positive desire-like attitude. (shrink)

Consider cases in which an agent simply doesn't think to do a certain thing, or doesn't think of a crucial consideration favoring doing a certain thing, or intends to do a certain thing but forgets to do it. In such a case, is the agent able to do the thing that she fails to do? Assume that commonly we all‐in can do things that we do not do. Here I argue that, given this assumption, in the cases under consideration, too, (...) commonly agents all‐in can do the things they fail to do. (shrink)

A great many important decisions we make in life depend on scientific information that we are not in a position to assess. So it seems we must defer to experts. By now there are a variety of criteria on offer by which non-experts can judge the trustworthiness of a scientist responsible for producing or promulgating this information. But science is, for the most part, a collective not an individual enterprise. This paper explores which of the criteria for judging the trustworthiness (...) of individual scientists can be amended for use in assessing the trustworthiness of scientific collectives. It also offers some new proposals specifically geared to assessing collective trustworthiness in science, notably, an analysis of where to apply the criteria (for example at the group or individual level) and additional criteria to assess group infrastructure and design. The paper ends with some practical suggestions for how to assist the non-expert in this task. (shrink)

This paper examines whether atheists, who believe that God does not exist, can have faith. Of course, atheists have certain kinds of faith: faith in their friends, faith in certain ideals, and faith in themselves. However, the question we’ll examine is whether atheists can have theistic faith: faith that God exists. Philosophers tend to fall on one of two extremes on this question: some, like Dan Howard-Snyder (2019) and Imran Aijaz (2023), say unequivocally no; others, like Robert Whitaker (2019) and (...) Sam Lebens (2023), say unequivocally yes. Here, I take a middle position: I argue that atheists can have action-focused theistic faith (faith in how they act) but not attitude-focused theistic faith (faith in what attitudes they have). (shrink)

This is a three-part exchange on the relationship between belief and credence. It begins with an opening essay by Roger Clarke that argues for the claim that the notion of credence generalizes the notion of belief. Julia Staffel argues in her reply that we need to distinguish between mental states and models representing them, and that this helps us explain what it could mean that belief is a special case of credence. Roger Clarke's final essay reflects on the compatibility of (...) the previously discussed views with dualist and monist interpretations of our mental states and our ways of modeling them. (shrink)

Simon Cushing conducted the following interview with Elizabeth Anderson on 18 June 2014.

English law is unambiguous that legal personality, and with it all legal rights and protections, is assigned at birth. This rule is regarded as a bright line that is easily and consistently applied. The time has come, however, for the rule to be revisited. This article demonstrates that advances in fetal surgery and (anticipated) artificial wombs do not marry with traditional conceptions of birth and being alive in law. These technologies introduce the possibility of ex utero gestation, and/or temporary existence (...) ex utero, and consequently developing human beings that are novel to the law. Importantly, therefore, the concepts of birth and born alive no longer distinguish between human beings deserving of legal protection in the way originally intended. Thus, there is a need for reform, for a new approach to determining the legal significance of birth and what being legally alive actually encompasses. Investigating the law of birth is of crucial importance, because of the implications of affording or denying the subjects of new reproductive technologies rights and protections. A determination of the legal status of the subject of fetal surgery or an artificial womb will determine what can and cannot be done to each entity. Moreover, the status afforded to these entities will drastically impact on the freedoms of pregnant women. (shrink)