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)

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)

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)

Thompson Clarke’s seminal paper “The Legacy of Skepticism” (1972) is notoriously difficult in both substance and presentation. Despite the paper’s importance to skepticism studies in the nearly half-century since its publication, no attempt has been made in the secondary literature to provide an account, based on a close reading of the text, of just what Clarke’s argument is. Furthermore, much of the existing literature betrays (or so it seems to me) fundamental misunderstandings of Clarke’s thought. In this essay, I attempt (...) to explain—concisely but comprehensively—Clarke’s overall argument in “The Legacy of Skepticism.”. (shrink)

As part of a review symposium on DARWIN'S ARGUMENT BY ANALOGY: FROM ARTIFICIAL TO NATURAL SELECTION (2021), the journal METASCIENCE invited Roger White, Jon Hodge and me to submit a response to the thoughtful commentaries on our book by Andrea Sullivan-Clarke, David Depew and Andrew Inkpen.

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,...

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)

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)

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)

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.

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)

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)

As persons we are irreducibly unique and essentially relational. In many contexts individual uniqueness has been accentuated at the expense of communal relationality. Our age has been marked by the loss of deep and meaningful relations to one another, and still more dramatically to the earth and its living creatures. The cosmological dimension of human personhood, that is, has been largely obscured. This chapter argues that our age has been marked increasingly by anesthetizing, alienating, and anonymizing tendencies. It proposes three (...) commensurate responses: aestheticization, or embodied philosophical knowing that remains faithful to the earth; anacarnation, or willful return to the wonders of embodied life, purged of romantic sentimentality; and attestation, or speaking up on behalf of the haecceitas or thisness of living creatures systematically instrumentalized for profit and pleasure. Together these responses help us to regain touch with animality by embracing the earth that hosts us, thus becoming more gracious guests, and to become more fully human by becoming better hosts to the multitude of earth's creatures, whose lives hang in the balance. (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)

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.

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)

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.

In “Mathematical Truth,” Paul Benacerraf presented an epistemological problem for mathematical realism.

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)

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)

Is God a person, like you and me eventually, but only much better and without our human deficiencies? When you read some of the philosophers of religion, including Richard Swinburne, Alvin Plantinga, or Open Theists, God appears as such a person, in a sense closer to Superman than to the Creator of Heaven and Earth. It is also a theory that a Christian pastoral theology today tends to impose, insisting that God is close to us and attentive to all of (...) us. But this modern account of God could be a deep and even tragic mistake. One God in three persons, the formula of the Trinity, does not mean that God is a person. On this matters we need an effort in the epistemology of theology to examine more precisely what we can pretend to know about God, and especially how we could pretend to know that God is person. (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)

Merleau-Ponty suggests in his Nature lectures that myth provides the best way into thinking the relation of strange kinship between humanity and animality. He goes on to refigure Husserl’s paradigm of the two hands touching to extend beyond merely human-to-human relations, invoking in the process the myth of Narcissus. By carefully examining Merleau-Ponty’s late refiguration of that paradigm, alongside the revised conception of narcissism that it helps him to develop, we find that while human-animal empathy is made possible by a (...) ground of intercorporeal kinship, human-animal estrangement makes possible the emergence of an ethical relation to other animals, contingent upon the sublimation of animal desire. Holding human-animal kinship and estrangement in tension reveals a nascent ideal present implicitly in the early stages of childhood development: a vision of the possibility of interspecies harmony, rooted in the bodily reciprocity that drives the process of self-maturation. (shrink)

Many healthcare practices expose people to risks of harmful outcomes. However, the major theories of moral philosophy struggle to assess whether, when and why it is ethically justifiable to expose individuals to risks, as opposed to actually harming them. Sven Ove Hansson has proposed an approach to the ethical assessment of risk imposition that encourages attention to factors including questions of justice in the distribution of advantage and risk, people’s acceptance or otherwise of risks, and the scope individuals have to (...) influence the practices that generate risk. This paper investigates the ethical justifiability of preventive healthcare practices that expose people to risks including overdiagnosis. We applied Hansson’s framework to three such practices: an ‘ideal’ breast screening service, a commercial personal genome testing service, and a guideline that lowers the diagnostic threshold for hypertension. The framework was challenging to apply, not least because healthcare has unclear boundaries and involves highly complex practices. Nonetheless, the framework encouraged attention to issues that would be widely recognised as morally pertinent. Our assessment supports the view that at least some preventive healthcare practices that impose risks including that of overdiagnosis are not ethically justifiable. Further work is however needed to develop and/or test refined assessment criteria and guidance for applying them. (shrink)

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.

This paper refines a controversial proposal: that core systems belong to a perceptual kind, marked out by the format of its representational outputs. Following Susan Carey, this proposal has been understood in terms of core representations having an iconic format, like certain paradigmatically perceptual outputs. I argue that they don’t, but suggest that the proposal may be better formulated in terms of a broader analogue format type. Formulated in this way, the proposal accommodates the existence of genuine icons in perception, (...) and avoids otherwise troubling objections. (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.

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.

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)

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)

This chapter is a contribution to an exchange with Carolina Sartorio about intentional omissions.

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)

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)

1Department of Philosophy, University of Nottingham, University Park, Nottingham NG7 2RD, UK. michael.clark@nottingham.ac.uk2Department of Philosophy, University of Nottingham, University Park, Nottingham NG7 2RD, UK. [email protected].

Spinoza’s attitude toward nonhuman animals is uncharacteristically cruel. This essay elaborates upon this ostensible idiosyncrasy in reference to Hasana Sharp’s commendable desire to revitalize a basis for animal ethics from within the bounds of his system. Despite our favoring an ethics beginning from animal affect, this essay argues that an animal ethic adequate to the demands of our historical moment cannot be developed from within the confines of strict adherence to Spinoza’s system—and this is not yet to speak of a (...) more robust animal ethics which would advocate actual care and compassion for the animals themselves. We argue that on the assumption of Spinoza’s ontological biocentrism, in the presence of Spinozist determinism and the absence of an axiological biocentrism, an anthropocentric axiology necessarily follows. Any Spinozist animal ethic must fall back, therefore, upon appeals to the maximization of human pleasure and power; hence Spinoza’s ruthless injunction to “use (the animals) at our pleasure.” These are the very ontological and ethical assumptions which have incited human self-exaltation in the modern period, in pursuit of power and pleasure even despite the destructive long-term consequences for all the living. We suggest that an adequate animal ethic would require either an abandonment of Spinoza’s ontological biocentrism or the adoption of an axiological biocentrism. (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)

Explaining the behaviour of ecosystems is one of the key challenges for the biological sciences. Since 2000, new-mechanicism has been the main model to account for the nature of scientific explanation in biology. The universality of the new-mechanist view in biology has been however put into question due to the existence of explanations that account for some biological phenomena in terms of their mathematical properties (mathematical explanations). Supporters of mathematical explanation have argued that the explanation of the behaviour of ecosystems (...) is usually provided in terms of their mathematical properties, and not in mechanistic terms. They have intensively studied the explanation of the properties of ecosystems that behave following the rules of a non-random network. However, no attention has been devoted to the study of the nature of the explanation in those that form a random network. In this paper, we cover that gap by analysing the explanation of the stability behaviour of the microbiome recently elaborated by Coyte and colleagues, to determine whether it fits with the model of explanation suggested by the new-mechanist or by the defenders of mathematical explanation. Our analysis of this case study supports three theses: (1) that the explanation is not given solely in terms of mechanisms, as the new-mechanists understand the concept; (2) that the mathematical properties that describe the system play an essential explanatory role, but they do not exhaust the explanation; (3) that a non-previously identified appeal to the type of interactions that the entities in the network can exhibit, as well as their abundance, is also necessary for Coyte and colleagues’ account to be fully explanatory. From the combination of these three theses we argue for the necessity of an integrative pluralist view of the nature of behaviour explanation when this is given by appealing to the existence of a random network. (shrink)

It is widely agreed that the intelligibility of modal metaphysics has been vindicated. Quine's arguments to the contrary supposedly confused analyticity with metaphysical necessity, and rigid with non-rigid designators.2 But even if modal metaphysics is intelligible, it could be misconceived. It could be that metaphysical necessity is not absolute necessity – the strictest real notion of necessity – and that no proposition of traditional metaphysical interest is necessary in every real sense. If there were nothing otherwise “uniquely metaphysically significant” about (...) metaphysical necessity, then paradigmatic metaphysical necessities would be necessary in one sense of “necessary”, not necessary in another, and that would be it. The question of whether they were necessary simpliciter would be like the question of whether the Parallel Postulate is true simpliciter – understood as a pure mathematical conjecture, rather than as a hypothesis about physical spacetime. In a sense, the latter question has no objective answer. In this article, I argue that paradigmatic questions of modal metaphysics are like the Parallel Postulate question. I then discuss the deflationary ramifications of this argument. I conclude with an alternative conception of the space of possibility. According to this conception, there is no objective boundary between possibility and impossibility. Along the way, I sketch an analogy between modal metaphysics and set theory. (shrink)

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)

Effective Altruism is a social movement which encourages people to do as much good as they can when helping others, given limited money, time, effort, and other resources. This paper first identifies a minimal philosophical view that underpins this movement, and then argues that there is an analogous minimal philosophical view which might underpin Effective Justice, a possible social movement that would encourage promoting justice most effectively, given limited resources. The latter minimal view reflects an insight about justice, and our (...) non-diminishing moral reason to promote more of it, that surprisingly has gone largely unnoticed and undiscussed. The Effective Altruism movement has led many to reconsider how best to help others, but relatively little attention has been paid to the differences in degrees of cost-effectiveness of activities designed to decrease injustice. This paper therefore not only furthers philosophical understanding of justice, but has potentially major practical implications. (shrink)

Often when one omits to do a certain thing, there's no action that is one's omission; one's omission, it seems, is an absence of any action of some type. This paper advances the view that an absence of an action--and, in general, any absence--is nothing at all: there is nothing that is an absence. Nevertheless, it can result from prior events that one omits to do a certain thing, and there can be results of the fact that one omits to (...) do something. This is so even if absences cannot be causes or causal effects. (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)

We make the case that scientifically accurate and politically feasible responses to the climate crisis require a complex understanding of human cultural practices of niche construction that moves beyond the adaptive significance of culture. We develop this thesis in two related ways. First, we argue that cumulative cultural practices of niche construction can generate stable equilibria and runaway selection processes that result in long-term existential risks within and across cultural groups. We dub this the back of the invisible hand. Second, (...) we argue that the ability of cultural groups to innovate technological solutions to environmental problems is highly constrained in ways that are exacerbated by sustained intergroup conflict, inequality and by inherently unpredictable cascades in climate change and human migration patterns. After developing these theoretical points about human cultural practices of niche construction in detail, we conclude our discussion with some tentative practical suggestions about the way that cultural evolutionary history can more fruitfully be used in efforts to remit the climate crisis and contribute to sustainable practices of human climate change adaptation. (shrink)

Some recent exchanges (Gebharter 2017a,2017b; Baumgartner and Cassini, 2023) concern whether composition can have conditional independence properties analogous to causal relations. If so, composition might sometimes be detectable by the application of causal search algorithms. The discussion has focused on a particular algorithm, PC (Spirtes and Glymour, 1991). PC is but one, and in many circumstances not the best, of a host of causal search algorithms that are candidates for methods of discovering composition provided appropriate statistical relations obtain. The discussion (...) raises two issues: 1. Does the structure of the composition relation entail probability relations such that PC and like algorithms cannot discover composition from frequency data about kinds; and 2. what can be discovered—and how—about the composition of systems by PC or related causal search algorithms that exploit conditional independence relations. Baumgartner and Cassini answer the first question positively: constitution entails probability relations incompatible with discovery by PC. They do not engage the second question, but we will. (shrink)