We can infer moral conclusions from nonmoral evidence using a three-step procedure. First, we distinguish the processes generating belief so that their reliability in generating true belief is statistically predictable. Second, we assess the processes’ reliability, perhaps by observing how frequently they generate true nonmoral belief or logically inconsistent beliefs. Third, we adjust our credence in moral propositions in light of the truth ratios of the processes generating beliefs in them. This inferential route involves empirically discovering truths of the form (...) “Process P, which generates belief in moral proposition M, has truth ratio T", and using them to discover probabilities for moral propositions. The inferential route is noncircular, and progress along it is driven fundamentally by induction. (shrink)

What is posthumanism and why does it matter? This book offers an introduction to the ways in which humanism's belief in the natural supremacy of the Family of Man has been called into question at different moments and from different theoretical positions. What is the relationship between posthumanism and technology? Can posthumanism have a politics—postcolonial or feminist? Are postmodernism and poststructuralism posthumanist? What happens when critical theory meets Hollywood cinema? What links posthumanism to science fiction. Posthumanism addresses these and other (...) questions in an attempt to come to terms with one of the most pressing issues facing contemporary society. (shrink)

The following is a transcript of the interview I (Yasuko Kitano) conducted with Neil Levy (The Centre for Applied Philosophy and Public Ethics, CAPPE) on the 23rd in July 2009, while he was in Tokyo to give a series of lectures on neuroethics at The University of Tokyo Center for Philosophy. I edited his words for publication with his approval.

Actions performed in a state of automatism are not subject to moral evaluation, while automatic actions often are. Is the asymmetry between automatistic and automatic agency justified? In order to answer this question we need a model or moral accountability that does justice to our intuitions about a range of modes of agency, both pathological and non-pathological. Our aim in this paper is to lay the foundations for such an account.

A number of concerns have been raised about the possible future use of pharmaceuticals designed to enhance cognitive, affective, and motivational processes, particularly where the aim is to produce morally better decisions or behavior. In this article, we draw attention to what is arguably a more worrying possibility: that pharmaceuticals currently in widespread therapeutic use are already having unintended effects on these processes, and thus on moral decision making and morally significant behavior. We review current evidence on the moral effects (...) of three widely used drugs or drug types: propranolol, selective serotonin reuptake inhibitors, and drugs that effect oxytocin physiology. This evidence suggests that the alterations to moral decision making and behavior caused by these agents may have important and difficult-to-evaluate consequences, at least at the population level. We argue that the moral effects of these and other widely used pharmaceuticals warrant further empirical research and ethical analysis. (shrink)

The moral belief problem is that of reconciling expressivism in ethics with both minimalism in the philosophy of language and the syntactic discipline of moral sentences. It is argued that the problem can be solved by distinguishing minimal and robust senses of belief, where a minimal belief is any state of mind expressed by sincere assertoric use of a syntactically disciplined sentence and a robust belief is a minimal belief with some additional property R. Two attempts to specify R are (...) discussed, both based on the thought that beliefs are states that aim at truth. According to the first, robust beliefs are criticisable to the extent that their content fails to match the state of the world. This sense fails to distinguish robust beliefs from minimal beliefs. According to the second, robust beliefs function to have their content match the state of the world. This sense succeeds in distinguishing robust beliefs from minimal beliefs. The conclusion is that the debate concerning the cognitive status of moral convictions needs to address the issue of the function of moral convictions. Evolutionary theorising may be relevant, but will not be decisive, in answering this question. (shrink)

This paper argues that a counterpart-theoretic treatment of events, combined with a counterfactual theory of causation, can help resolve three puzzles from the causation literature. First, CCT traces the apparent contextual shifts in our causal attributions to shifts in the counterpart relation which obtains in those contexts. Second, being sensitive to shifts in the counterpart relation can help diagnose what goes wrong in certain prominent examples where the transitivity of causation appears to fail. Third, CCT can help us resurrect the (...) much-maligned fragility response to the problems of late pre-emption by understanding fragility in counterpart-theoretic terms. Some reasons to prefer this CCT approach to rivals are discussed. (shrink)

I argue that if David Lewis’ modal realism is true, modal realists from different possible worlds can fall in love with each other. I offer a method for uniquely picking out possible people who are in love with us and not with our counterparts. Impossible lovers and trans-world love letters are considered. Anticipating objections, I argue that we can stand in the right kinds of relations to merely possible people to be in love with them and that ending a trans-world (...) relationship to start a relationship with an actual person isn't cruel to one's otherworldly lover. (shrink)

This essay defends a strong version of the Humean theory of motivation on which desire is necessary both for motivation and for reasoning that changes our desires. Those who hold that moral judgments are beliefs with intrinsic motivational force need to oppose this view, and many of them have proposed counterexamples to it. Using a novel account of desire, this essay handles the proposed counterexamples in a way that shows the superiority of the Humean theory. The essay addresses the classic (...) objection that the Humean theory cannot explain the feeling of obligation, Stephen Darwall's example of motivationally potent reasoning that is not based on preexisting desires, Thomas Scanlon's criticism that the Humean theory fails to account for the structure and phenomenology of deliberation, and the phenomenon of akrasia as discussed by John Searle. In each case a Humean account explains the data at least as thoroughly as opposing views can, while fitting within a simpler total account of how we deliberate and act. (shrink)

Recent work in neuroimaging suggests that some patients diagnosed as being in the persistent vegetative state are actually conscious. In this paper, we critically examine this new evidence. We argue that though it remains open to alternative interpretations, it strongly suggests the presence of consciousness in some patients. However, we argue that its ethical significance is less than many people seem to think. There are several different kinds of consciousness, and though all kinds of consciousness have some ethical significance, different (...) kinds underwrite different kinds of moral value. Demonstrating that patients have phenomenal consciousness — conscious states with some kind of qualitative feel to them — shows that they are moral patients, whose welfare must be taken into consideration. But only if they are subjects of a sophisticated kind of access consciousness — where access consciousness entails global availability of information to cognitive systems — are they persons, in the technical sense of the word employed by philosophers. In this sense, being a person is having the full moral status of ordinary human beings. We call for further research which might settle whether patients who manifest signs of consciousness possess the sophisticated kind of access consciousness required for personhood. (shrink)

Trust not only disposes us to feel betrayed, trust can be betrayed. Understanding what a betrayal of trust is requires understanding how trust can ground an obligation on the part of the trusted person to act specifically as trusted. This essay argues that, since trust cannot ground an appropriate obligation where there is no prior obligation, a betrayal of trust should instead be conceived as the violation of a trust-based obligation to respect an already existing obligation. Two forms of trust (...) are evaluated for their potential to ground such a second-order obligation. One form counts as a gift to the trusted person only because it does not involve an expectation of trustworthiness; the other form cannot count as a gift but confers an honor because it does include an expectation of trustworthiness. Only trust that confers an honor generates a second-order obligation whose violation would be a betrayal of trust. -/- . (shrink)

This paper explores connections between theories of morality and theories of properties. It argues that (1) moral realism is in tension with predicate, class and mereological nominalism; (2) moral non-naturalism is incompatible with standard versions of resemblance nominalism, immanent realism and trope theory; and (3) the standard semantic arguments for property realism do not support moral realism. I also raise doubts about trope-theoretic explanations of moral supervenience and argue against one version of the principle that we should accept theories that (...) maintain neutrality. (shrink)

The rightness and wrongness of actions fits on a continuous scale. This fits the way we evaluate actions chosen among a diverse range of options, even though English speakers don’t use the words “righter” and “wronger”. I outline and defend a version of scalar consequentialism, according to which rightness is a matter of degree, determined by how good the consequences are. Linguistic resources are available to let us truly describe actions simply as right. Some deontological theories face problems in accounting (...) for degrees of rightness, as they don't invoke continuous parameters among the right-making features of action. (shrink)

This paper argues that qualia share their physical correlates' locations. The first premise comes from the theory of relativity: If something shares a time with a physical event in all reference frames, it shares that physical event’s location. The second premise is that qualia share times with their correlates in all reference frames. Having qualia and correlates share locations makes relations between them easier to explain, improving both physicalist and dualist theories.

This paper applies the theory of teleosemantics to the issue of moral content. Two versions of teleosemantics are distinguished: input-based and output-based. It is argued that applying either to the case of moral judgements generates the conclusion that such judgements have both descriptive (belief-like) and directive (desire-like) content, intimately entwined. This conclusion directly validates neither descriptivism nor expressivism, but the application of teleosemantics to moral content does leave the descriptivist with explanatory challenges which the expressivist does not face. Since teleosemantics (...) ties content to function, the paper also offers an account of the evolutionary function of moral judgements. (shrink)

In this paper we sketch a new version of aesthetic expressivism. We argue that one advantage of this view is that it explains various putative norms on the formation and revision of aesthetic judgement. We begin by setting out our proposed explananda and a sense in which they can be understood as governing the correct response to putative higher-order evidence in aesthetics. We then summarise some existing discussions of expressivist attempts to explain these norms, and objections raised to them. This (...) will allow us to identify the pitfalls that a good expressivist explanation needs to avoid. Finally, we sketch our preferred version of aesthetic expressivism which includes as a crucial part a hypothesis concerning the distinctive expressive function of aesthetic practice. We then consider how this theory can explain the putative aesthetic norms whilst avoiding the previous objections. (shrink)

Consider two deeply appealing thoughts: first, that we experience external particulars, and second, that what it’s like to have an experience – the phenomenal character of an experience – is somehow independent of external particulars. The first thought is readily captured by phenomenal particularism, the view that external particulars are sometimes part of the phenomenal character of experience. The second thought is readily captured by phenomenal generalism, the view that external particulars are never part of phenomenal character. -/- Here I (...) show that a novel version of phenomenal generalism can capture both thoughts in a satisfying fashion. Along the way, I reveal severe problems facing phenomenal particularism and also shed light on the mental kinds under which experiences fall. (shrink)

Response to commentary. We are grateful to Crockett and Craigie for their interesting remarks on our paper. We accept Crockett’s claim that there is a need for caution in drawing inferences about patient groups from work on healthy volunteers in the laboratory. However, we believe that the evidence we cited established a strong presumption that many of the patients who are routinely taking a medication, including many people properly prescribed the medication for a medical condition, have morally significant aspects of (...) their cognition and behavior modified in a way that is unintended and may sometimes be unwelcome. Crockett notes that in some cases the effects of long-term drug use may differ, sometimes markedly, from the effects of short-term use. However, if acute use of a drug affects a neural system involved in mediating moral cognition or behavior, this nevertheless provides some evidence that chronic use of the drug may affect that same system and thus have morally significant effects. It is also plausible, in some cases, that an acute moral effect would give rise to a chronic moral effect via cognitive mechanisms. ... (shrink)

This chapter considers the nature of imagination and belief, exploring how deeply these two states of mind differ. It first addresses a range of cognitive and motivational differences between imagination and belief which suggest that they're fundamentally different states of mind. Then it addresses imaginative immersion, delusions, and the different norms we apply to the two mental states, which some theorists regard as providing support for a more unified picture of imagination and belief.

Heidegger’s ontological views, his observations about liberalism and fascism, and his evaluative commitments are three premises of an argument for fascism. The ontological premise is that integrated wholes and objects of a creator or user’s will are ontologically superior, as Being and Time suggests in discussing Being-a-whole, creating art, and using equipment. The social premise is that fascist societies are wholes integrated by dictatorial will, while liberal societies are looser aggregates of free individuals, as Heidegger describes in his 1930s seminars. (...) The evaluative premise, shared with the medieval tradition and expressed in his notebook remarks about war, is that ontological superiority makes things better. The conclusion that fascism is better than liberalism should be rejected along with the evaluative premise. (shrink)

I argue that one intends that ϕ if one has a desire that ϕ and an appropriately related means-end belief. Opponents, including Setiya and Bratman, charge that this view can't explain three things. First, intentional action is accompanied by knowledge of what we are doing. Second, we can choose our reasons for action. Third, forming an intention settles a deliberative question about what to do, disposing us to cease deliberating about it. I show how the desire- belief view can explain (...) why these phenomena occur when they occur, and why they don't when they don't. (shrink)

This paper is a concise survey of recent expressivist theories of discourse, focusing on the ethical case. For each topic discussed recent trends are summarised and suggestions for further reading provided. Issues covered include: the nature of the moral attitude; ‘hybrid’ views according to which moral judgements express both beliefs and attitudes; the quasi-realist programmes of Simon Blackburn and Allan Gibbard; the problem of creeping minimalism; the nature of the ‘expression’ relation; the Frege-Geach problem; the problem of wishful thinking; the (...) role of moral intuitions; expressivism in aesthetics. (shrink)

In this paper I argue that the explanationist argument in favour of moral realism fails. According to this argument, the ability of putative moral properties to feature in good explanations provides strong evidence for, or entails, the metaphysical claims of moral realism. Some have rejected this argument by denying that moral explanations are ever good explanations. My criticism is different. I argue that even if we accept that moral explanations are (sometimes) good explanations the metaphysical claims of realism do not (...) follow. (shrink)

I assume that there exists a general phenomenon, the phenomenon of the explanatory gap, surrounding consciousness, normativity, intentionality, and more. Explanatory gaps are often thought to foreclose reductive possibilities wherever they appear. In response, reductivists who grant the existence of these gaps have offered countless local solutions. But typically such reductivist responses have had a serious shortcoming: because they appeal to essentially domain-specific features, they cannot be fully generalized, and in this sense these responses have been not just local but (...) parochial. Here I do better. Taking for granted that the explanatory gap is a genuine phenomenon, I offer a fully general diagnosis that unifies these previously fragmented reductivist responses. (shrink)

Propositionalism is the view that the contents of intentional attitudes have a propositional structure. Objectualism opposes propositionalism in allowing the contents of these attitudes to be ordinary objects or properties. Philosophers including Talbot Brewer, Paul Thagard, Michelle Montague, and Alex Grzankowski attack propositionalism about such attitudes as desire, liking, and fearing. This article defends propositionalism, mainly on grounds that it better supports psychological explanations.

Causal exclusion arguments are taken to threaten the autonomy of the special sciences, and the causal efficacy of mental properties. A recent line of response to these arguments has appealed to “independently plausible” and “well grounded” theories of causation to rebut key premises. In this paper I consider two papers which proceed in this vein and show that they share a common feature: they both require causes to be proportional to their effects. I argue that this feature is a bug, (...) and one that generalises: any attempt to rescue the autonomy of the special sciences, or the efficacy of the mental, from exclusion worries had better not look to proportionality for help. (shrink)

In this chapter, we argue for three theses: (1) we lack the power to form beliefs at will (i.e., directly); at very least, we lack the power to form at will beliefs of the kind that proponents of doxastic voluntarism have in mind; but (2) we possess a propensity to form beliefs for non-epistemic reasons; and (3) these propensities—once we come to know we have them—entail that we have obligations similar to those we would have were doxastic voluntarism true. Specifically, (...) we will argue that we have obligations to avoid triggering these propensities to form beliefs that are unwarranted or even immoral. (shrink)

Most philosophers believe that wrongdoers sometimes deserve to be punished by long prison sentences. They also believe that such punishments are justified by their consequences: they deter crime and incapacitate potential offenders. In this article, I argue that both these claims are false. No one deserves to be punished, I argue, because our actions are shot through with direct or indirect luck. I also argue that there are good reasons to think that punishing fewer people and much less harshly will (...) have better social consequences, at a reduced overall cost, then the long prison sentences that are usually seen as required for social protection. (shrink)

This paper advances three necessary conditions on a successful account of sentential negation. First, the ability to explain the constancy of sentential meaning across negated and unnegated contexts (the Fregean Condition). Second, the ability to explain why sentences and their negations are inconsistent, and inconsistent in virtue of the meaning of negation (the Semantic Condition). Third, the ability of the account to generalize regardless of the topic of the negated sentence (the Generality Condition). The paper discusses three accounts of negation (...) available to moral expressivists. The first—the dominant commitment account—fails to meet the Fregean Condition. The two remaining accounts—commitment semantics and the expression account—satisfy all three conditions. A recent argument that the dominant commitment account is the only option available to expressivists is considered and rejected. (shrink)

Here I advance a unified account of the structure of the epistemic normativity of assertion, action, and belief. According to my Teleological Account, all of these are epistemically successful just in case they fulfill the primary aim of knowledgeability, an aim which in turn generates a host of secondary epistemic norms. The central features of the Teleological Account are these: it is compact in its reliance on a single central explanatory posit, knowledge-centered in its insistence that knowledge sets the fundamental (...) epistemic norm, and yet fiercely pluralistic in its acknowledgment of the legitimacy and value of a rich range of epistemic norms distinct from knowledge. Largely in virtue of this pluralist character, I argue, the Teleological Account is far superior to extant knowledge-centered accounts. (shrink)

We explain and explore class-theoretic potentialism—the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.

It is commonly assumed that causation is transitive and in this paper I aim to reconcile this widely-held assumption with apparent evidence to the contrary. I will discuss a familiar approach to certain well-known counterexamples, before introducing a more resistant sort of case of my own. I will then offer a novel solution, based on Yablo’s proportionality principle, that succeeds in even these more resistant cases. There is a catch, however. Either proportionality is a constraint on which causal claims are (...) true, and the solution works, or it is not and causation is not transitive after all. I will argue that the first horn has unacceptable consequences and should be rejected, but that the second horn is less costly than it might initially appear. (shrink)

This paper presents the Universality Argument that pleasure is goodness. The first premise defines goodness as what should please all. The second premise reduces 'should' to perceptual accuracy. The third premise invokes a universal standard of accuracy: qualitative identity. Since the pleasure of all is accurate solely about pleasure, pleasure is goodness, or universal moral value. The argument proceeds from a moral sense theory that analyzes moral concepts as concerned with what all should hope for, feel guilty about, and admire. (...) This requires rejecting practical anti-empiricism, the view that moral judgment concerns empirically inaccessible norms governing action. (shrink)

Moral discourse is propositionally clothed, that is, it exhibits those features – such as the ability of its sentences to intelligibly embed in conditionals and other unasserted contexts – that have been taken by some philosophers to be constitutive of discourses that express propositions. If there is nothing more to a mental state being a belief than it being characteristically expressed by sentences that are propositionally clothed then the version of expressivism which accepts that moral discourse is propositionally clothed (‘quasi-realism’) (...) is self-refuting. Fortunately for quasi-realists, this view of belief, which I label ‘minimalism’, is false. I present three arguments against it and dismiss two possible defences (the first drawn from the work of Wright, the second given by Harcourt). The conclusion is that the issue between expressivists and their opponents cannot be settled by the mere fact that moral discourse wears propositional clothing. (shrink)

In “The Evolutionary Debunking of Quasi-Realism,” Neil Sinclair and James Chamberlain present a novel answer that quasi-realists can pro-vide to a version of the reliability challenge in ethics—which asks for an explanation of why our moral beliefs are generally true—and in so doing, they examine whether evolutionary arguments can debunk quasi-realism. Although reliability challenges differ from EDAs in several respects, there may well be a connection between them. For the explanatory premise of an EDA may state that a particular (...) theory of beliefs of a certain kind does not, or cannot, provide a plausible account of why those beliefs might be generally true, and its epistemic premise may state that, if that is the case, then the beliefs in question have a negative epistemic status or the theory is false inasmuch as, if it were true, it would lead to those beliefs having such a negative epistemic status. The quasi-realist can answer the reli-ability challenge by claiming that, when we form our moral beliefs through a process of well-informed impartial reflection, we form them in response to the non-moral features of things on which depend the moral features they have. Hence, when we form beliefs by means of such a process, we are most likely forming true moral beliefs. (shrink)

This essay presents an ideal for modern Western romantic love.The basic ideas are the following: people want to form a distinctive sort of plural subject with another, what Nozick has called a "We", they want to be loved for properties of certain kinds, and they want this love to establish and sustain a special sort of commitment to them over time.

I use the Corcoran–Smiley interpretation of Aristotle's syllogistic as my starting point for an examination of the syllogistic from the vantage point of modern proof theory. I aim to show that fresh logical insights are afforded by a proof-theoretically more systematic account of all four figures. First I regiment the syllogisms in the Gentzen–Prawitz system of natural deduction, using the universal and existential quantifiers of standard first-order logic, and the usual formalizations of Aristotle's sentence-forms. I explain how the syllogistic is (...) a fragment of my system of Core Logic. Then I introduce my main innovation: the use of binary quantifiers, governed by introduction and elimination rules. The syllogisms in all four figures are re-proved in the binary system, and are thereby revealed as all on a par with each other. I conclude with some comments and results about grammatical generativity, ecthesis, perfect validity, skeletal validity and Aristotle's chain principle. (shrink)

A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, (...) the status of reflection principles as axioms is left open for the Zermelian. (shrink)

Philosophers from Hart to Lewis, Johnston and Bennett have expressed various degrees of reservation concerning the doctrine of double effect. A common concern is that, with regard to many activities that double effect is traditionally thought to prohibit, what might at first look to be a directly intended bad effect is really, on closer examination, a directly intended neutral effect that is closely connected to a foreseen bad effect. This essay examines the extent to which the commonsense concept of intention (...) supports a reasonably consistent and coherent application of double effect. Two important conclusions are these: (1) a number of traditionally proscribed activities involve a kind of “targeting” of innocents that can be taken to exhibit a direct intention to harm them; (2) a direct intention to harm need not involve a desire to harm in any ordinary sense of the latter expression. (shrink)

Some philosophers (including Urmson, Humberstone, Shah, and Velleman) hold that believing that p distinctively involves applying a norm according to which the truth of p is a criterion for the success or correctness of the attitude. On this view, imagining and assuming differ from believing in that no such norm is applied. I argue against this view with counterexamples showing that applying the norm of truth is neither necessary nor sufficient for distinguishing believing from imagining and assuming. Then I argue (...) that the different functional properties of these mental states are enough to distinguish them, and that norm-application doesn't help us draw the functional distinctions. (shrink)

In the past decade, three philosophers in particular have recently explored the relation between desert and intrinsic value. Fred Feldman argues that consequentialism need not give much weight – or indeed any weight at all – to the happiness of persons who undeservedly experience pleasure. He defends the claim that the intrinsic value of a state of affairs is determined by the “fit” between the amount of well-being that a person receives and the amount of well-being that the person deserves. (...) Shelly Kagan uses a similar claim to motivate the view that equality is not intrinsically valuable. Thomas Hurka argues that desert is a third-order value, which is a function of the relation between the second-order value of having a virtuous or vicious character and the first-order value of experiencing pleasure or pain. In this paper, we sketch a theory of desert as fittingness and defend a general account of the relation between desert, well-being, and intrinsic value. We then discuss various applications of our “geometry of desert,” including a solution to the problem of the Repugnant Conclusion. In so doing, we explain, revise, and extend many of these authors’ central ideas. (shrink)

Christine Korsgaard argues that Humean views of both action and rationality jointly imply the impossibility of irrational action, allowing us only to perform actions that we deem rational. Humeans can answer Korsgaard’s objection if their views of action and rationality measure agents’ actual desires differently. What determines what the agent does are the motivational forces that desires produce in the agent at the moment when she decides to act, as these cause action. What determines what it is rational to do (...) should be the agent’s dispositional desire strengths, as our normative intuitions respond to these. (shrink)

Nietzsche takes moral judgments to be false beliefs, and encourages us to pursue subjective nonmoral value arising from our passions. His view that strong and unified passions make one virtuous is mathematically derivable from this subjectivism and a conceptual analysis of virtue, explaining his evaluations of character and the nature of the Overman.

In this paper I grant the Humean premise that some reasons for action are grounded in the desires of the agents whose reasons they are. I then consider the question of the relation between the reasons and the desires that ground them. According to promotionalism , a desire that p grounds a reason to φ insofar as A’s φing helps promote p . According to motivationalism a desire that p grounds a reason to φ insofar as it explains why, in (...) certain circumstances, A would be motivated to φ. I then give an argument favouring motivationalism, namely that promotionalism entails that agents have reasons to perform physically impossible actions, whereas motivationalism entails that there are no such reasons. Although this is a version of the ‘Too Many Reasons’ objection to promotionalism, I show that existing responses to that problem do not transfer to the case of reasons to perform physically impossible actions. In the penultimate section I consider and reject some objections to motivationalism made by promotionalists. The conclusion is that Humeans about reasons for action should prefer motivationalism. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

Often philosophers, logicians, and mathematicians employ a notion of intended structure when talking about a branch of mathematics. In addition, we know that there are foundational mathematical theories that can find representatives for the objects of informal mathematics. In this paper, we examine how faithfully foundational theories can represent intended structures, and show that this question is closely linked to the decidability of the theory of the intended structure. We argue that this sheds light on the trade-off between expressive power (...) and meta-theoretic properties when comparing first-order and second-order logic. (shrink)

Many philosophers argue that the face-value of moral practice provides presumptive support to moral realism. This paper analyses such arguments into three steps. (1) Moral practice has a certain face-value, (2) only realism can vindicate this face value, and (3) the face-value needs vindicating. Two potential problems with such arguments are discussed. The first is taking the relevant face-value to involve explicitly realist commitments; the second is underestimating the power of non-realist strategies to vindicate that face-value. Case studies of each (...) of these errors are presented, drawn from the writings of Shafer-Landau, Brink and McNaughton, and from recent work in experimental metaethics. The paper then considers weak presumptive arguments, according to which both realist and non-realist vindications of moral practice are possible, but the realist vindications are more natural. It is argued that there is no sense of ‘natural’ available that can make these arguments work. The conclusion is that all extant presumptive arguments for moral realism fail. (shrink)

Let's suppose you think that there are no uncountable sets. Have you adopted a restrictive position? It is certainly tempting to say yes---you've prohibited the existence of certain kinds of large set. This paper argues that this intuition can be challenged. Instead, I argue that there are some considerations based on a formal notion of restrictiveness which suggest that it is restrictive to hold that there are uncountable sets.