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)

The distinction between perception and cognition frames countless debates in philosophy and cognitive science. But what, if anything, does this distinction actually amount to? In this introductory article, we summarize recent work on this question. We first briefly consider the possibility that a perception-cognition border should be eliminated from our scientific ontology, and then introduce and critically examine five positive approaches to marking a perception–cognition border, framed in terms of phenomenology, revisability, modularity, format, and stimulus-dependence.

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)

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds or exotic substitutes for (...) number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

It is widely alleged that metaphysical possibility is “absolute” possibility Conceivability and possibility, Clarendon, Oxford, 2002, p 16; Stalnaker, in: Stalnaker Ways a world might be: metaphysical and anti-metaphysical essays, Oxford University Press, Oxford, 2003, pp 201–215; Williamson in Can J Philos 46:453–492, 2016). Kripke calls metaphysical necessity “necessity in the highest degree”. Van Inwagen claims that if P is metaphysically possible, then it is possible “tout court. Possible simpliciter. Possible period…. possib without qualification.” And Stalnaker writes, “we can agree (...) with Frank Jackson, David Chalmers, Saul Kripke, David Lewis, and most others who allow themselves to talk about possible worlds at all, that metaphysical necessity is necessity in the widest sense.” What exactly does the thesis that metaphysical possibility is absolute amount to? Is it true? In this article, I argue that, assuming that the thesis is not merely terminological, and lacking in any metaphysical interest, it is an article of faith. I conclude with the suggestion that metaphysical possibility may lack the metaphysical significance that is widely attributed to it. (shrink)

Joint actions often require agents to track others’ actions while planning and executing physically incongruent actions of their own. Previous research has indicated that this can lead to visuomotor interference effects when it occurs outside of joint action. How is this avoided or overcome in joint actions? We hypothesized that when joint action partners represent their actions as interrelated components of a plan to bring about a joint action goal, each partner’s movements need not be represented in relation to distinct, (...) incongruent proximal goals. Instead they can be represented in relation to a single proximal goal – especially if the movements are, or appear to be, mechanically linked to a more distal joint action goal. To test this, we implemented a paradigm in which participants produced finger movements that were either congruent or incongruent with those of a virtual partner, and either with or without a joint action goal (the joint flipping of a switch, which turned on two light bulbs). Our findings provide partial support for the hypothesis that visuomotor interference effects can be reduced when two physically incongruent actions are represented as mechanically interdependent contributions to a joint action goal. (shrink)

Hohwy (Hohwy 2016, Hohwy 2017) argues there is a tension between the free energy principle and leading depictions of mind as embodied, enactive, and extended (so-called ‘EEE1 cognition’). The tension is traced to the importance, in free energy formulations, of a conception of mind and agency that depends upon the presence of a ‘Markov blanket’ demarcating the agent from the surrounding world. In what follows I show that the Markov blanket considerations do not, in fact, lead to the kinds of (...) tension that Hohwy depicts. On the contrary, they actively favour the EEE story. This is because the Markov property, as exemplified in biological agents, picks out neither a unique nor a stationary boundary. It is this multiplicity and mutability– rather than the absence of agent-environment boundaries as such - that EEE cognition celebrates. (shrink)

1. We sometimes angrily confront, pointedly ostracize, castigate, or denounce those whom we think have committed moral offences. Conduct of this kind may be called blaming behaviour. When genuine,...

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.

Jerry Fodor deemed informational encapsulation ‘the essence’ of a system’s modularity and argued that human perceptual processing comprises modular systems, thus construed. Nowadays, his conclusion is widely challenged. Often, this is because experimental work is seen to somehow demonstrate the cognitive penetrability of perceptual processing, where this is assumed to conflict with the informational encapsulation of perceptual systems. Here, I deny the conflict, proposing that cognitive penetration need not have any straightforward bearing on the conjecture that perceptual processing is composed (...) of nothing but informationally encapsulated modules, the conjecture that each and every perceptual computation is performed by an informationally encapsulated module, and the consequences perceptual encapsulation was traditionally expected to have for a perception-cognition border, the epistemology of perception and cognitive science. With these points in view, I propose that particularly plausible cases of cognitive penetration would actually seem to evince the encapsulation of perceptual systems rather than refute/problematize this conjecture. (shrink)

It is often claimed that pre-attentive vision has an ‘iconic’ format. This is seen to explain pre-attentive vision's characteristically high processing capacity and to make sense of an overlap in the mechanisms of early vision and mental imagery. But what does the iconicity of pre-attentive vision amount to? This paper considers two prominent ways of characterising pre-attentive visual icons and argues that neither is adequate: one approach renders the claim ‘pre-attentive vision is iconic’ empirically false while the other obscures its (...) ability to do the explanatory work, which motivates positing pre-attentive visual icons in the first place. With this noted, I introduce the notion of an ‘Analogue Map’ and argue that it provides a superior characterisation of pre-attentive vision's iconicity. I then argue that this forces a reassessment of debates which have traditionally presupposed the iconicity of pre-attentive vision, emphasising ramifications for the viability of a format-based perception-thought border. (shrink)

Cognitivists about intention hold that intending to do something entails believing you will do it. Non-cognitivists hold that intentions are conative states with no cognitive component. I argue that both of these claims are true. Intending entails the presence of a belief, even though the intention is not even partly the belief. The result is a form of what Sarah Paul calls Non-Inferential Weak Cognitivism, a view that, as she notes, has no prominent defenders.

Sometimes someone does something morally wrong in clear-eyed awareness that what she is doing is wrong. More commonly, a wrongdoer fails to see that her conduct is wrong. Call the latter behavior unwitting wrongful conduct. It is generally agreed that an agent can be blameworthy for such conduct, but there is considerable disagreement about how one’s blameworthiness in such cases is to be explained, or what conditions must be satisfied for the agent to be blameworthy for her conduct. Many theorists (...) hold that an agent’s blameworthiness for unwitting wrongful conduct must stem from—or trace back to—her blameworthiness for something else. And appeals to tracing in these cases lead some writers to a highly revisionist view, on which people are blameworthy for wrongdoing much less often than we ordinarily think (and our mistake, unfortunately, isn’t about how much wrongdoing there is). In this chapter, I set out the main claims of an argument for such a view and respond to it. I offer grounds for retaining a good many of the judgments that the revisionist would have us reject. The defense rests to a significant extent on commonsense views about the psychological capacities and abilities to act that people ordinarily possess, views that, as far as I can tell, revisionists have not shown to be mistaken. (shrink)

Consider the idea that suffering of some specific kind is deserved by those who are guilty of moral wrongdoing. Feeling guilty is a prime example. It might be said that it is noninstrumentally good that one who is guilty feel guilty (at the right time and to the right degree), or that feeling guilty (at the right time and to the right degree) is apt or fitting for one who is guilty. Each of these claims constitutes an interesting thesis about (...) desert, given certain understandings of what desert is. After examining these claims, the paper briefly explores the idea that an offender might deserve certain forms of treatment by others. The paper concludes by contrasting the modest theses on which it focuses with a far bolder one, to the effect that if we are morally responsible, then it makes sense to suppose that some of us might deserve to suffer eternal torment. The more modest theses do not commit one to anything of this sort. (shrink)

Number Nativism is the view that humans innately represent precise natural numbers. Despite a long and venerable history, it is often considered hopelessly out of touch with the empirical record. I argue that this is a mistake. After clarifying Number Nativism and distancing it from related conjectures, I distinguish three arguments which have been seen to refute the view. I argue that, while popular, two of these arguments miss the mark, and fail to place pressure on Number Nativism. Meanwhile, a (...) third argument is best construed as a challenge: rather than refuting Number Nativism, it challenges its proponents to provide positive evidence for their thesis and show that this can be squared with apparent counterevidence. In response, I introduce psycholinguistic work on The Tolerance Principle (not yet considered in this context), propose that it is hard to make sense of without positing precise and innate representations of natural numbers, and argue that there is no obvious reason why these innate representations couldn’t serve as a basis for mature numeric conception. (shrink)

How seriously should we take the idea that the mind employs mental files? Goodman and Gray (2022) argue that mental filing – a thinker rationally treating her cognitive states as being about the same thing – can be explained without files. Instead, they argue that the standard commitments of mental file theory, as represented by Recanati’s indexical model, are better seen in terms of a relational representational feature of object representations, which in turn is based on the epistemic links a (...) thinker bears to objects. This paper argues that this revision is misguided. Neither the representational property nor any basic role for epistemic links are needed for an adequate explanatory theory that makes use of the image of a mental filing system. A better alternative to the indexical model does posit files, albeit as causal-functional entities. This makes additional representational features redundant, and shows that epistemic links play a secondary role. (shrink)

It has been claimed that naïve realism predicts phenomenological similarities where there are none and, thereby, mischaracterises the phenomenal character of perceptual experience. If true, this undercuts a key motivation for the view. Here, we defend naïve realism against this charge, proposing that such arguments fail (three times over). In so doing, we highlight a more general problem with critiques of naïve realism that target the purported phenomenological predictions of the view. The problem is: naïve realism, broadly construed, doesn’t make (...) phenomenological predictions of the required sort. So, as a result, opponents must resign themselves to attacking specific incarnations of naïve realism, or approach matters quite differently. (shrink)

Accounts of moral responsibility commonly focus on responsibility for actions and their consequences. But we can be responsible as well for omitting to act or refraining from acting, and for consequences of these. And since omitting and refraining are not in every case performing an action, an account of responsibility for actions will not apply straightforwardly to these cases. This paper advances proposals concerning responsibility for omitting, refraining, and their consequences. Providing such an account is complicated by the fact that (...) cases of omitting or refraining are quite varied. (shrink)

Let F be a fact in virtue of which an agent, S, is blameworthy for performing an act of A-ing. We advance a slightly qualified version of the following thesis: -/- (Reason) F is (at some time) a reason for S to feel guilty (to some extent) for A-ing. -/- Leaving implicit the qualification concerning extent, we claim as well: -/- (Desert) S's having this reason suffices for S’s deserving to feel guilty for A-ing. -/- We also advance a third (...) thesis connecting desert of feeling guilty with the fittingness of this response. -/- In light of our three theses, we address several claims that have been made regarding responsibility and desert. We take issue with the divorce of desert from responsibility. We find acceptable a claim regarding blameworthiness and reason to induce guilt, and we defend the idea that it is noninstrumentally good that one who is blameworthy be subject to a fitting feeling of guilt. We argue against a view on which desert of blame has a teleological dimension. (shrink)

Negligence and omission are closely related: commonly, in cases of negligent action, the agent has failed to turn her attention to some pertinent fact. But that omission is itself typically unwitting. A sufficient condition for blameworthiness for an unwitting omission is offered, as is an account of blameworthiness for negligent action. It is argued that one can be blameworthy for wrongdoing done from ignorance even if one is not blameworthy for that ignorance.

According to what may be called PERMANENT, blameworthiness is forever: once you are blameworthy for something, you are always blameworthy for it. Here a prima facie case for this view is set out, and the view is defended from two lines of attack. On one, you are no longer blameworthy for a past offense if, despite being the person who committed it, you no longer have any of the pertinent psychological states you had at the time of the misdeed. On (...) the other, you can cease to be blameworthy if you sufficiently experience guilt or remorse, suffer enough punishment, or are forgiven for your misdeed. Although several points made in support of the second challenge are accepted, they are entirely consistent with PERMANENT. Neither line of attack, as so far presented, undermines the plausibility of this view stemming from the prima facie case. (shrink)

I discuss methodology in epistemology. I argue that settling the facts, even the epistemic facts, fails to settle the questions of intellectual policy at the center of our epistemic lives. An upshot is that the standard methodology of analyzing concepts like knowledge, justification, rationality, and so on is misconceived. More generally, any epistemic method that seeks to issue in intellectual policy by settling the facts, whether by way of abductive theorizing or empirical investigation, no matter how reliable, is inapt. The (...) argument is a radicalization of Moore’s Open Question Argument. I conclude by considering the ramifications of this conclusion for the debate surrounding “Modal Security”, a proposed necessary condition on undermining defeat. (shrink)

When evaluating theories of causation, intuitions should not play a decisive role, not even intuitions in flawlessly-designed thought experiments. Indeed, no coherent theory of causation can respect the typical person’s intuitions in redundancy (pre-emption) thought experiments, without disrespecting their intuitions in threat-and-saviour (switching/short-circuit) thought experiments. I provide a deductively sound argument for these claims. Amazingly, this argument assumes absolutely nothing about the nature of causation. I also provide a second argument, whose conclusion is even stronger: the typical person’s causal intuitions (...) are thoroughly unreliable. This argument proceeds by raising the neglected question: in what respects is information about intermediate and enabling variables relevant to reliable causal judgment? (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)

Logical monism is the view that there is ‘One True Logic’. This is the default position, against which pluralists react. If there were not ‘One True Logic’, it is hard to see how there could be one true theory of anything. A theory is closed under a logic! But what is logical monism? In this article, I consider semantic, logical, modal, scientific, and metaphysical proposals. I argue that, on no ‘factualist’ analysis (according to which ‘there is One True Logic’ expresses (...) a factual claim, rather than an attitude like approval), does the doctrine have both metaphysical and methodological import. Metaphysically, logics abound. Methodologically, what to infer from what is not settled by the facts, even the normative ones. I conclude that the only interesting sense in which there could be One True Logic is noncognitive. The same may be true of monism about normative areas, like moral, epistemic, and prudential ones, generally. (shrink)

Part of our ordinary conception of our freedom is the idea that commonly when we act—and often even when we don’t act—it is up to us whether we do this or that. This paper examines efforts to spell out what must be the case for this idea to be correct. Several claims regarding the basic metaphysics of agential powers are considered; they are found not to shed light on the issue. Thinking about agents’ psychological capacities provides some illumination, though the (...) idea of freedom remains puzzling. (shrink)

A growing number of philosophers now hold that agent causation is required for agency, or free will, or moral responsibility. To clarify what is at issue, this paper begins with a distinction between agent causation that is ontologically fundamental and agent causation that is reducible to or realized in causation by events or states. It is widely accepted that agency presents us with the latter; the view in question claims a need for the former. The paper then examines a “disappearing (...) agent” argument from Derk Pereboom that is aimed at showing that free will requires agent causation that is ontologically fundamental. It is argued that the argument fails. Further, it is argued that, contrary to Pereboom’s claim, the issue raised by his disappearing agent argument is distinct from the problem of present luck that libertarian theories of free will face. The paper concludes with an assessment of the prospects for success of a disappearing agent argument showing that agent causation that is ontologically fundamental is required for agency tout court. (shrink)

The blameworthy deserve blame. So runs a platitude of commonsense morality. My aim here is to set out an understanding of this desert claim (as I call it) on which it can be seen to be a familiar and attractive aspect of moral thought. I conclude with a response to a prominent denial of the claim.

In his influential book, The Nature of Morality, Gilbert Harman writes: “In explaining the observations that support a physical theory, scientists typically appeal to mathematical principles. On the other hand, one never seems to need to appeal in this way to moral principles.” What is the epistemological relevance of this contrast, if genuine? This chapter argues that ethicists and philosophers of mathematics have misunderstood it. They have confused what the chapter calls the justificatory challenge for realism about an area, D—the (...) challenge to justify our D-beliefs—with the reliability challenge for D-realism—the challenge to explain the reliability of our D-beliefs. Harman’s contrast is relevant to the first, but not, evidently, to the second. One upshot of the discussion is that genealogical debunking arguments are fallacious. Another is that indispensability considerations cannot answer the Benacerraf–Field challenge for mathematical realism. (shrink)

A comprehensive theory of agency will encompass not just acting but also omitting to act and refraining from acting. Some theorists maintain that a causal theory can be applied to acting, omitting, and refraining in a perfectly uniform manner, for each omission or instance of refraining can be identified with some garden-variety action. Here it is argued that in plenty of cases this strategy fails. Sufficient conditions for omitting or refraining are offered that do not require there to be, in (...) every case, anything that is an omission or act of refraining. Disjoining these with a causal theory of action would leave us with a view of agency that is less uniform than what might have been preferred; but diversity in the subject matter, it is suggested, might preclude any more uniform theory. (shrink)

Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...) to determine what Benacerraf’s challenge could be such that this view is warranted. I argue that it could not be any of the challenges with which it has been traditionally identified by its advocates, like of Benacerraf and Field. Not only are none of the challenges easier for the pluralist to meet. None satisfies a key constraint that has been placed on Benacerraf’s challenge. However, I argue that Benacerraf’s challenge could be the challenge to show that our set-theoretic beliefs are safe – i.e., to show that we could not have easily had false ones. Whether the pluralist is, in fact, better positioned to show that our set-theoretic beliefs are safe turns on a broadly empirical conjecture which is outstanding. If this conjecture proves to be false, then it is unclear what the epistemological argument for set-theoretic pluralism is supposed to be. (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)

Several philosophers claim that the phenomenology of one’s own agency conflicts with standard causal theories of action, couched in terms of causation by mental events or states. Others say that the phenomenology is prima facie incompatible with such a theory, even if in the end a reconciliation can be worked out. Here it is argued that the type of action theory in question is consistent with what can plausibly be said to be presented to us in our experience of our (...) agency. Several routes to a claim that there is nevertheless a prima facie incompatibility are examined, and all are found wanting. The phenomenology of agency, it is argued, is no threat to a standard causal theory of action. (shrink)

Should economics study the psychological basis of agents' choice behaviour? I show how this question is multifaceted and profoundly ambiguous. There is no sharp distinction between "mentalist'' answers to this question and rival "behavioural'' answers. What's more, clarifying this point raises problems for mentalists of the "functionalist'' variety (Dietrich and List, 2016). Firstly, functionalist hypotheses collapse into hypotheses about input--output dispositions, I show, unless one places some unwelcome restrictions on what counts as a cognitive variable. Secondly, functionalist hypotheses make some (...) risky commitments about the plasticity of agents' choice dispositions. (shrink)

This paper proposes a novel conception of mental files, aimed at addressing Frege puzzles. Classical Frege puzzles involve ignorance and discovery of identity. These may be addressed by accounting for a more basic way for identity to figure in thought—the treatment of beliefs by the believer as being about the same thing. This manifests itself in rational inferences that presuppose the identity of what the beliefs are about. Mental files help to provide a functional characterization of a mind capable of (...) this presupposition, but more must be said to show how it may be rational. I argue that this can be done by drawing out the way in which mental files interact with a thinker's motivational states and so come to have normative functional properties. I show how this theory works better than some other treatments of mental files. (shrink)

The preface paradox does not show that it can be rational to have inconsistent beliefs, because preface writers do not have inconsistent beliefs. I argue, first, that a fully satisfactory solution to the preface paradox would have it that the preface writer's beliefs are consistent. The case here is on basic intuitive grounds, not the consequence of a theory of rationality or of belief. Second, I point out that there is an independently motivated theory of belief – sensitivism – which (...) allows such a solution. I sketch a sensitivist account of the preface writer's doxastic state. (shrink)

Biological theory demands a clear organism concept, but at present biologists cannot agree on one. They know that counting particular units, and not counting others, allows them to generate explanatory and predictive descriptions of evolutionary processes. Yet they lack a unified theory telling them which units to count. In this paper, I offer a novel account of biological individuality, which reconciles conflicting definitions of ‘organism’ by interpreting them as describing alternative realisers of a common functional role, and then defines individual (...) organisms as essentially possessing some mechanisms that play this role. (shrink)

In his précis of a recent book, Richard Joyce writes, “My contention…is that…any epistemological benefit-of-the-doubt that might have been extended to moral beliefs…will be neutralized by the availability of an empirically confirmed moral genealogy that nowhere…presupposes their truth.” Such reasoning – falling under the heading “Genealogical Debunking Arguments” – is now commonplace. But how might “the availability of an empirically confirmed moral genealogy that nowhere… presupposes” the truth of our moral beliefs “neutralize” whatever “epistemological benefit-of-the-doubt that might have been extended (...) to” them? In this article, I argue that there appears to be no satisfactory answer to this question. The problem is quite general, applying to all arguments with the structure of Genealogical Debunking Arguments aimed at realism about a domain meeting two conditions. The Benacerraf-Field Challenge for mathematical realism affords an important special case. (shrink)

This paper argues for a treatment of belief as essentially sensitive to certain features of context. The first part gives an argument that we must take belief to be context-sensitive in the same way that assertion is, if we are to preserve appealing principles tying belief to sincere assertion. In particular, whether an agent counts as believing that p in a context depends on the space of alternative possibilities the agent is considering in that context. One and the same doxastic (...) state may amount to belief that p in one context but not another. The second part of the paper gives a formal treatment of doxastic states, according to which belief is context-sensitive along just these lines. The model is applied to characterize (but not to refute) skeptical arguments. (shrink)

Holly Smith has done more than anyone to explore and defend the importance of usability for moral theories. In Making Morality Work, she develops a moral theory that is almost universally usable. But not quite. In this article, I argue that no moral theory is universally usable, in the sense that is most immediately relevant to action, even by agents who know all the normative facts. There is no moral theory knowledge of which suffices to settle deliberation about what to (...) do. However, this is unsurprising if the question of what to do is not a question of fact. One upshot of the discussion is that the search for a universally usable moral theory is misconceived. Another is that, contra Smith (341), agents who are radically uncertain need not lack autonomy. (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)

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)

Some explanations are relatively abstract: they abstract away from the idiosyncratic or messy details of the case in hand. The received wisdom in philosophy is that this is a virtue for any explanation to possess. I argue that the apparent consensus on this point is illusory. When philosophers make this claim, they differ on which of four alternative varieties of abstractness they have in mind. What’s more, for each variety of abstractness there are several alternative reasons to think that the (...) variety of abstractness in question is a virtue. I identify the most promising reasons, and dismiss some others. The paper concludes by relating this discussion to the idea that explanations in biology, psychology and social science cannot be replaced by relatively micro explanations without loss of understanding. (shrink)

A recent empirical study claims to show that the answer to Molyneux’s question is negative, but, as John Schwenkler points out, its findings are inconclusive: Subjects tested in this study probably lacked the visual acuity required for a fair assessment of the question. Schwenkler is undeterred. He argues that the study could be improved by lowering the visual demands placed on subjects, a suggestion later endorsed and developed by Kevin Connolly. I suggest that Connolly and Schwenkler both underestimate the difficulties (...) involved in rectifying the study they seek to fix. The problem is that the experimental paradigm under consideration fails to account for the role that rational inference plays in newly sighted subjects’ ability or inability to recognize spatial properties across modalities. Since answering Molyneux’s question requires establishing whether spatial properties can be recognized, across modalities, by newly sighted subjects without recourse to rational inference, this is a problem. Indeed, it is a problem that may be worsened by Schwenkler and Connolly’s suggestions regarding the lowering of visual demands on subjects in cross-modal matching tasks. (shrink)

The motivating question of this paper is: ‘How are our beliefs in the theorems of mathematics justified?’ This is distinguished from the question ‘How are our mathematical beliefs reliably true?’ We examine an influential answer, outlined by Russell, championed by Gödel, and developed by those searching for new axioms to settle undecidables, that our mathematical beliefs are justified by ‘intuitions’, as our scientific beliefs are justified by observations. On this view, axioms are analogous to laws of nature. They are postulated (...) to best systematize the data to be explained. We argue that there is a decisive difference between the cases. There is agreement on the data to be systematized in the scientific case that has no analog in the mathematical one. There is virtual consensus over observations, but conspicuous dispute over intuitions. In this respect, mathematics more closely resembles stereotypical philosophy. We conclude by distinguishing two ideas that have long been associated -- realism (the idea that there is an independent reality) and objectivity (the idea that in a disagreement, only one of us can be right). We argue that, while realism is true of mathematics and philosophy, these domains fail to be objective. One upshot of the discussion is that even questions of fundamental physics may fail to be objective in roughly the sense that the question, ‘Is the Parallel Postulate is true?’, understood as one of pure mathematics, fails to be. Another is a kind of pragmatism. Factual questions in mathematics, modality, logic, and evaluative areas go proxy for non-factual practical ones. -/- . (shrink)

It is widely held that one can be responsible for doing something that one was unable to avoid doing. This paper focuses primarily on the question of whether one can be responsible for not doing something that one was unable to do. The paper begins with an examination of the account of responsibility for omissions offered by John Martin Fischer and Mark Ravizza, arguing that in many cases it yields mistaken verdicts. An alternative account is sketched that jibes with and (...) explains judgments about a variety of omissions cases, including intentional omissions as well as simple failures to act. (shrink)

Research and engineering in the quantum domain involve long chains of activity involving theory development, hypothesis formation, experimentation, device prototyping, device testing, and many more. At each stage multiple paths become possible, and of the paths pursued, the majority will lead nowhere. Our quantum metascience approach provides a strategy which enables all stakeholders to gain an overview of those developments along these tracks, that are relevant to their specific concerns. It provides a controlled vocabulary, built out of terms that are (...) designed to be maximally comprehensible to all groups of stakeholders and across all the sub-fields of the quantum domain. (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.