Tom Dougherty argues that culpably deceiving another person into sex is seriously wrong no matter what the content about which she is deceived. We argue that his explanation of why deception invalidates consent has extremely implausible implications. Though we reject Dougherty’s explanation, we defend his verdict about deception and consent to sex. We argue that he goes awry by conflating the disclosure requirement for consent and the understanding requirement. When these are distinguished, we can identify how deceptive disclosure invalidates consent. (...) This alternative explanation also allows for a response to Neil Manson’s recent criticisms of Dougherty’s argument. (shrink)

Technological advancement makes translation convenient due to the emergence of various translation tools. This Explanatory-Sequential study aims to determine the preference and the factors affecting the preference of Filipino and Foreign college students toward the Online Translation Tool. Likewise, it also aimed to identify if there is a significant difference between the respondents' choices. To acquire the data, the researchers used a survey conducted on 15 Filipino and foreign collegiate students enrolled in universities in Manila and a focus group discussion (...) among 3 Filipino students. The transcribed data were analyzed using Thematic Analysis. Moreover, the results of the quantitative data revealed that Google Translate was the preferred Online Translation Tool of Filipino and Foreign students for the reason of accessibility, user-friendliness, and the tendency of users to brand bias. The reasons presented in quantitative data are strengthened by the themes identified in the qualitative data. The three prevailing themes of Brand Bias, Accessibility, and Accuracy constituted the central theme of User Friendliness. It was identified through the Chi-Square Test that there is no significant difference among respondents' preferences (0.345 P-Value) toward online Translation software. (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.

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.

A key source of support for the view that challenging people’s beliefs about free will may undermine moral behavior is two classic studies by Vohs and Schooler (2008). These authors reported that exposure to certain prompts suggesting that free will is an illusion increased cheating behavior. In the present paper, we report several attempts to replicate this influential and widely cited work. Over a series of five studies (sample sizes of N = 162, N = 283, N = 268, N (...) = 804, N = 982) (four preregistered) we tested the relationship between (1) anti-free-will prompts and free will beliefs and (2) free will beliefs and immoral behavior. Our primary task was to closely replicate the findings from Vohs and Schooler (2008) using the same or highly similar manipulations and measurements as the ones used in their original studies. Our efforts were largely unsuccessful. We suggest that manipulating free will beliefs in a robust way is more difficult than has been implied by prior work, and that the proposed link with immoral behavior may not be as consistent as previous work suggests. (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.

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)

Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an account of (...) reference on the Multiversist conception, and the relativism that it implies. I argue that analysis of this central issue in the Philosophy of Mathematics indicates that Radical Multiversism must be algebraic, and cannot be viewed as an attempt to provide an account of reference without a softening of the position. (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)

There are at least two different concepts that philosophers might target when analyzing causation: a pre-selective notion and a selective notion. This paper argues that these two distinct conceptions have been conflated to date, citing the puzzles of overdetermination, extensionality, and transitivity as evidence. The primary aim of the paper is to help reset the methodological scene concerning analyses of causation.

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)

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)

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)

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)

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)

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.

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)

I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity axioms and raise some questions (...) about this approach. I argue that by comparing them with the `standard' uncountabilist theory, a new approach that brings in arbitrariness rather than the strict controls of forcing is desirable. (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)

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)

I argue for the conditions that eco-sabotage (sabotage involving the protection of animals or the environment) must meet to be a morally permissible form of activism in a liberal democracy. I illustrate my case with Jessica Reznicek and Ruby Montoya’s oil pipeline destruction, the Sea Shepherd Conservation Society’s whale hunt sabotage, and the Valve Turners’ pipeline shut-off, climate necessity-defense. My primary contention is that just as it is permissible to destroy an attacker’s weapon in self- or other-defense, it is permissible (...) to engage in some forms of eco-sabotage. Taking inspiration from just war theory, I use the conditions of just cause, reasonable chance of success, proportionality, necessity, and discrimination to both conceptualize eco-sabotage as defense and illustrate the justificatory burden the eco-saboteur must meet. Often eco-sabotage is doubly pro-tanto wrong because it is illegal and involves property destruction. Overcoming these hurdles is particularly difficult because in seemingly bypassing democratic means of dispute resolution, the eco-saboteur seemingly coerces the other members of society by forcing idiosyncratic views upon them. Non-anthropocentric eco-sabotage grounded in defense of animal rights has mixed results regarding the democratic objection just described. I argue that anthropocentric eco-sabotage, grounded in defense of human rights, has the best chance of overcoming this objection, provided a persuasive case can be made for its reasonable chance of success. Passing a reasonable chance of success also causes problems for non-anthropocentric eco-sabotage grounded in species defense, while non-anthropocentric eco-sabotage grounded in defense against animal suffering has a lighter justificatory burden. (shrink)

This article articulates and assesses an imperatival approach to the foundations of mathematics. The core idea for the program is that mathematical domains of interest can fruitfully be viewed as the outputs of construction procedures. We apply this idea to provide a novel formalisation of arithmetic and set theory in terms of such procedures, and discuss the significance of this perspective for the philosophy of mathematics.

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)

What is the connection between reasons and motives? According to Reasons Internalism there is a non-trivial conceptual connection between normative reasons and the possibility of rationally accessing relevant motivation. Reasons Internalism is attractive insofar as it captures the thought that reasons are for reasoning with and repulsive insofar as it fails to generate sufficient critical distance between reasons and motives. Rather than directly adjudicate this dispute, I extract from it two generally accepted desiderata on theories of normative reasons and argue (...) that a new theory can satisfy both. The new theory locates part of the meaning of normative reason statements in their role in normative discussion. It generates a view of the connection between reasons and motives that is distinct from Reasons Internalism, yet distinctively in its spirit. (shrink)

This guide focuses on the content and form of excellent philosophical writing, with further comments on reading, thinking, writing processes, publication strategies, and self-cultivation.

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse that seems (...) to necessitate the addition of subsets to V. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and analyse various tradeoffs in naturality that might be made. We conclude that the Universist has promising options for interpreting different forcing constructions. (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)

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.

We are about to see the emergence of religions devoted to the worship of Artificial Intelligence (AI). Such religions pose acute risks, both to their followers and to the public. We should require their creators, and governments, to acknowledge these risks and to manage them as best they can. However, these new religions cannot be stopped altogether, nor should we try to stop them if we could. We must accept that AI worship will become part of our culture, and we (...) must learn to live with it. Indeed, we should do much more than this. We should value it as a new source of meaning in a rapidly-changing world. AI-based religions deserve respect and recognition alongside other, more established ones, and they should be granted the same level of legal protection. (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)

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)

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)

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)

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)

How does our language relate to reality? This is a question that is especially pertinent in set theory, where we seem to talk of large infinite entities. Based on an analogy with the use of models in the natural sciences, we argue for a threefold correspondence between our language, models, and reality. We argue that so conceived, the existence of models can be underwritten by a weak notion of existence, where weak existence is to be understood as existing in virtue (...) of language. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (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.

Pietro Gori dedicates Nietzsche’s Pragmatism “To the wanderers and Good Europeans,” and Anglophone wanderers into Sarah de Sanctis’s translation will indeed find good European Nietzsche scholarship. The table of contents is a helpful map of the book, with five chapters consisting of twenty-eight sections on a sequence of philosophical and interpretive topics. Perspectival thought, addressed in the subtitle, is the explicit topic of the third chapter. Pragmatism, mentioned in the title, is the explicit topic of the fifth and final chapter. (...) While both topics also are discussed in many other places, the overall focus is on Nietzsche’s views of epistemology and truth.The first chapter discusses Nietzsche’s views of... (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)

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)

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)

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.

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)

In the contemporary philosophy of set theory, discussion of new axioms that purport to resolve independence necessitates an explanation of how they come to be justified. Ordinarily, justification is divided into two broad kinds: intrinsic justification relates to how `intuitively plausible' an axiom is, whereas extrinsic justification supports an axiom by identifying certain `desirable' consequences. This paper puts pressure on how this distinction is formulated and construed. In particular, we argue that the distinction as often presented is neither well-demarcated nor (...) sufficiently precise. Instead, we suggest that the process of justification in set theory should not be thought of as neatly divisible in this way, but should rather be understood as a conceptually indivisible notion linked to the goal of explanation. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk that (...) seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

The Continuum Hypothesis featured top of Hilbert's list of 23 problems in 1900. Today, we still consider the question, with various programmes pulling in different directions. This conceptual diversity raises a puzzle: In what sense do we disagree when we talk about it? A standard assumption takes it that the content of our thought about classes and the Continuum Hypothesis has not changed. Assuming a moderate view of how content is determined, I reject this assumption but also argue that whilst (...) the Continuum Hypothesis can have different content for different agents, it can also be determinate for certain programmes. In particular, I suggest that there is a fault line between those who think there are uncountable sets and recent countabilist programmes. (shrink)

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 outlines a new metasemantic theory of moral reason statements, focused on explaining how the reasons thus stated can be inescapable. The motivation for the theory is in part that it can explain this and other phenomena concerning moral reasons. The account also suggests a general recipe for explanations of conceptual features of moral reason statements. (Published with Open Access.).

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)