Feminist bioethicists of a variety of persuasions discuss the 2013 case of Marlise Munoz, a pregnant woman whose medical care was in dispute after she became brain dead.

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)

A long tradition in theology holds that the divine is in some sense incomprehensible, ineffable, or indescribable. This is mirrored in the set-theoretic literature by those who hold that the universe of sets is incomprehensible, ineffable, or indescribable. In this latter field, set theorists often study reflection principles; axioms that posit indescribability properties of the universe. This paper seeks to examine a theological reflection principle, which can be used to deliver a very rich ontology. I argue that in analogy with (...) set-theoretic reflection principles, we should understand theological reflection via schematic commitment. (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 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)

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.

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)

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)

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)

Ruth Boeker offers a new perspective on Locke’s account of persons and personal identity by considering it within the context of his broader philosophical project and the philosophical debates of his day. Her interpretation emphasizes the importance of the moral and religious dimensions of his view. By taking seriously Locke’s general approach to questions of identity, Boeker shows that we should consider his account of personhood separately from his account of personal identity over time. On this basis, she argues (...) that Locke endorses a moral account of personhood, according to which persons are subjects of accountability, and that his particular thinking about moral accountability explains why he regards sameness of consciousness as necessary for personal identity over time. In contrast to some Neo-Lockean views about personal identity, Boeker argues that Locke’s account of personal identity is not psychological per se, but rather his underlying moral, religious, metaphysical, and epistemic background beliefs are relevant for understanding why he argues for a consciousness-based account of personal identity. Taking his underlying background beliefs into consideration not only sheds light on why many of his early critics do not adopt Locke’s view, but also shows why his view cannot be as easily dismissed as some of his critics assume. -/- . (shrink)

We introduce and consider the inner-model reflection principle, which asserts that whenever a statement \varphi(a) in the first-order language of set theory is true in the set-theoretic universe V, then it is also true in a proper inner model W \subset A. A stronger principle, the ground-model reflection principle, asserts that any such \varphi(a) true in V is also true in some non-trivial ground model of the universe with respect to set forcing. These principles each express a form of width (...) reflection in contrast to the usual height reflection of the Lévy–Montague reflection theorem. They are each equiconsistent with ZFC and indeed \Pi_2-conservative over ZFC, being forceable by class forcing while preserving any desired rank-initial segment of the universe. Furthermore, the inner-model reflection principle is a consequence of the existence of sufficient large cardinals, and lightface formulations of the reflection principles follow from the maximality principle MP and from the inner-model hypothesis IMH. We also consider some questions concerning the expressibility of the principles. (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)

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)

In virtue of what is something a reason for action? That is, what makes a consideration a reason to act? This is a metaphysical or meta-normative question about the grounding of reasons for action. The answer to the grounding question has been traditionally given in ‘pure’, univocal terms. This paper argues that there is good reason to understand the ground of practical normativity as a hybrid of traditional ‘pure’ views. The paper 1) surveys the three leading ‘pure’ answers to the (...) question of a normative ground, 2) examines one or two of the most difficult problems for each, proposing along the way a new objection to one, and 3) argues that a particular hybrid view about normative grounds –‘hybrid voluntarism’ – avoids each of the main problems faced by the three leading ‘pure’ views. (shrink)

Let mathematical justification be the kind of justification obtained when a mathematician provides a proof of a theorem. Are Gettier cases possible for this kind of justification? At first sight we might think not: The standard for mathematical justification is proof and, since proof is bound at the hip with truth, there is no possibility of having an epistemically lucky justification of a true mathematical proposition. In this paper, I argue that Gettier cases are possible (and indeed actual) in mathematical (...) reasoning. By analysing these cases, I suggest that the Gettier phenomenon indicates some upshots for actual mathematical practice. (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 Element offers the first detailed study of Catharine Trotter Cockburn's philosophy and covers her contributions to philosophical debates in epistemology, metaphysics, moral philosophy, and philosophy of religion. It examines not only Cockburn's view that sensation and reflection are the sources of knowledge, but also how she draws attention to the limitations of human understanding and how she approaches metaphysical debates through this lens. In the area of moral philosophy, this Element argues that it is helpful to take seriously Cockburn's (...) distinction between questions concerning the metaphysical foundation of morality and questions concerning the practice of morality. Moreover, this Element examines Cockburn's religious views and considers her understanding of the relation between morality and religion and her religious views concerning the resurrection and the afterlife. (shrink)

In his _Being Known_ Peacocke sets himself the task of answering how we come to know about metaphysical necessities. He proposes a semantic principle-based conception consisting of, first, his Principles of Possibility which pro­vide necessary and sufficient conditions for a new concept 'admissibility', and second, characterizations of possibility and of necessity in terms of that new con­cept. I focus on one structural feature; viz. the recursive application involved in the specification of 'admissibility'. After sketching Peacocke’s proposal, I intro­duce a fictional (...) protagonist, Cautious Peacocke, whose coherence I claim shows that Peacocke s proposal cannot be made good. I conclude with the conjecture that similar failure will attend any such semantic-based attempts to ground the epistemology of metaphysical necessity. -/- Dans son livre intitulé Being Known, C. Peacocke se propose de repondre à la question de savoir comment nous en venons a connaitre des nécessités métaphysiques. Il développe une conception sémantique reposant sur des principes comprenant, d’une part, ses Principes de Possibilité — qui fournissent les conditions nécessaires et suffisantes pour un nouveau concept, « l’admissibilité » — et d’autre part des caractérisations de la possibilité et de la nécessité a l’aide de ce nouveau concept. Je me concentre sur une caractéristique structurelle, a savoir l’application récursive a l’œuvre dans la spécification de «l’admissibilité ». Apres avoir esquisse la proposition de Peacocke, j’introduis un personnage fictif, Peacocke-prudent. Je soutiens que la cohérence de ce personnage montre que la proposition de Peacocke ne peut pas être satisfaite. Je conclus en conjecturant qu’un échec similaire se présentera pour toutes les tentatives de fonder l’épistemologie de la nécessité métaphysique sur de telles bases semantiques. (shrink)

What makes a choice hard? I discuss and criticize three common answers and then make a proposal of my own. Paradigmatic hard choices are not hard because of our ignorance, the incommensurability of values, or the incomparability of the alternatives. They are hard because the alternatives are on a par; they are comparable, but one is not better than the other, and yet nor are they equally good. So understood, hard choices open up a new way of thinking about what (...) it is to be a rational agent. (shrink)

Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent (...) work in numerical cognition and ontogenetic studies. (shrink)

‘Normative powers’ are capacities to create normative reasons by our willing or say-so. They are significant, because if we have them and exercise them, then sometimes the reasons we have are ‘up to us’. But such powers seem mysterious. How can we, by willing, create reasons? In this paper, I examine whether normative powers can be adequately explained normatively, by appeal to norms of a practice, normative principles, human interests, or values. Can normative explanations of normative powers explain how an (...) exercise of the will can afford us special freedom in determining our reasons? I argue that normative approaches to answering this question prove to be inadequate. To vindicate the thought that normative powers can make our reasons ‘up to us’, we need an altogether different approach to understanding them, one that is located not in the normative but in the metaphysical. I end the paper by sketching a metaphysical explanation of normative powers. This metaphysical defence of normative powers provides a window into a different, more agent-centered way of thinking about rational agency. (shrink)

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

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.

The independence phenomenon in set theory, while pervasive, can be partially addressed through the use of large cardinal axioms. A commonly assumed idea is that large cardinal axioms are species of maximality principles. In this paper, I argue that whether or not large cardinal axioms count as maximality principles depends on prior commitments concerning the richness of the subset forming operation. In particular I argue that there is a conception of maximality through absoluteness, on which large cardinal axioms are restrictive. (...) I argue, however, that large cardinals are still important axioms of set theory and can play many of their usual foundational roles. (shrink)

Informal rigour is the process by which we come to understand particular mathematical structures and then manifest this rigour through axiomatisations. Structural relativity is the idea that the kinds of structures we isolate are dependent upon the logic we employ. We bring together these ideas by considering the level of informal rigour exhibited by our set-theoretic discourse, and argue that different foundational programmes should countenance different underlying logics (intermediate between first- and second-order) for formulating set theory. By bringing considerations of (...) perturbations in modal space to bear on the debate, we will suggest that a promising option for representing current set-theoretic thought is given by formulating set theory using quasi-weak second-order logic. These observations indicate that the usual division of structures into \particular (e.g. the natural number structure) and general (e.g. the group structure) is perhaps too coarse grained; we should also make a distinction between intentionally and unintentionally general structures. (shrink)

Can quite different values be rationally weighed against one another? Can the value of one thing always be ranked as greater than, equal to, or less than the value of something else? If the answer to these questions is no, then in what areas do we find commensurability and comparability unavailable? And what are the implications for moral and legal decision making? This book struggles with these questions, and arrives at distinctly different answers.".

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

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.

This chapter argues that there is a particular kind of ‘internal’ commitment typically made in the context of romantic love relationships that has striking meta-normative implications for how we understand the role of the will in practical normativity. Internal commitments cannot plausibly explain the reasons we have in committed relationships on the usual model—as triggering reasons that are already there, in the way that making a promise triggers a reason via a pre-existing norm of the form ‘If you make a (...) promise to x, then you have a reason to x’. Instead, internal commitments are that in virtue of which one has the special reasons of committed relationships; they are the grounds of such reasons. In this way, the will is a source of practical normativity. (shrink)

This paper is the introduction to the volume. It gives an argumentative view of the philosophical landscape concerning incommensurability and incomparability. It argues that incomparability, not incommensurability, is the important phenomenon on which philosophers should be focusing and that the arguments for the existence of incomparability are so far not compelling.

This paper presents an argument against the widespread view that ‘hard choices’ are hard because of the incomparability of the alternatives. The argument has two parts. First, I argue that any plausible theory of practical reason must be ‘comparativist’ in form, that is, it must hold that a comparative relation between the alternatives with respect to what matters in the choice determines a justified choice in that situation. If comparativist views of practical reason are correct, however, the incomparabilist view of (...) hard choices should be rejected. Incomparabilism about hard choices leads us to an implausible error theory about the phenomenology of hard choices, threatens an unattractive view of human agency, and leaves us in perplexity about what we are doing when we choose in hard choices. The second part of the argument explores the main competitor to comparativist views of practical reason, noncomparativist view, according tow which a choice is justified so long as it is not worse than any of the alternatives. This view is often assumed by rational choice theorists but has its best philosophical defense in work by Joseph Raz. On Raz’s view, incomparabilism about hard choices avoids the problems faced if comparativism is correct, but it faces different difficulties. I argue that Raz’s noncomparativist view mistakenly assimilates practical reason to more restricted normative domains such as the law. (shrink)

In this article, I identify and critically examine 3 dogmas of normativity that support a commonly accepted ‘Passivist View' of rational agency. I raise some questions about these dogmas, suggest what we should believe in their place, and moot an alternative ‘Activist View' of what it is to be a rational agent that grows out of rejection of the 3 dogmas. Underwriting the dogmas and the Passivist View, I suggest, is a deeply held but mistaken assumption that the normative domain (...) is fundamentally akin to the nonnormative domain. Once we allow that the normative may be fundamentally unlike the nonnormative in certain key ways, a shift in our thinking about what it is to be rational becomes possible. I end by considering some implications of this paradigm shift in rationality from the passive to the active for various applied matters. (shrink)

The relevance of analytic metaphysics has come under criticism: Ladyman & Ross, for instance, have suggested do discontinue the field. French & McKenzie have argued in defense of analytic metaphysics that it develops tools that could turn out to be useful for philosophy of physics. In this article, we show first that this heuristic defense of metaphysics can be extended to the scientific field of applied ontology, which uses constructs from analytic metaphysics. Second, we elaborate on a parallel by French (...) & McKenzie between mathematics and metaphysics to show that the whole field of analytic metaphysics, being useful not only for philosophy but also for science, should continue to exist as a largely autonomous field. (shrink)

This article explores the main similarities and differences between Derek Parfit’s notion of imprecise comparability and a related notion I have proposed of parity. I argue that the main difference between imprecise comparability and parity can be understood by reference to ‘the standard view’. The standard view claims that 1) differences between cardinally ranked items can always be measured by a scale of units of the relevant value, and 2) all rankings proceed in terms of the trichotomy of ‘better than’, (...) ‘worse than’, and ‘equally good’. Imprecise comparability, which can be understood in terms of the more familiar notions of cardinality and incommensurability, rejects only the first claim while parity rejects both claims of the standard view. -/- I then argue that insofar as those attracted to imprecise comparability assume that all rankings are trichotomous, as Parfit appears to, the view should be rejected. This is because imprecise equality is not a form of equality but is a sui generis ‘fourth’ basic way in which items can be ranked. We should, I argue, understand imprecise equality as parity, and imprecise comparability as entailing ‘tetrachotomy’ – that if two items are comparable, one must better than, worse than, equal to, or on a par with the other. Thus those attracted to the idea that cardinality can be imprecise should abandon trichotomy and accept parity and tetrachotomy instead. -/- Finally, I illustrate the difference between Parfit’s trichotomous notion of imprecise comparability and parity by examining how each notion might be employed in different solutions to the problem posed by the Repugnant Conclusion in population ethics. I suggest that parity provides the arguably more ecumenical solution to the problem. (shrink)

The aim of this paper is to show that Shaftesbury’s thinking about liberty is best understood in terms of self-mastery. To examine his understanding of liberty, I turn to a painting that he commissioned on the ancient theme of the choice of Hercules and the notes that he prepared for the artist. Questions of human choice are also present in the so-called story of an amour, which addresses the difficulties of controlling human passions. Jaffro distinguishes three notions of self-control that (...) are present in the story of an amour. Although I agree with many aspects of Jaffro’s interpretation, I question his conclusion that self- control in the Stoic sense is best reserved for ‘moral heroes.’ I propose an alternative developmental interpretation, according to which all human beings are on an intellectual journey aimed at personal and moral improvement. My interpretation takes seriously that for Shaftesbury philosophy is meant to be practical and help improve our lives. I end by arguing that rather than trying to situate Shaftesbury’s concept of liberty within debates among compatibilists and incompatibilists it is more promising to understand it in terms of self- mastery and thus regard it as a version of positive liberty. (shrink)

Much of the discussion of set-theoretic independence, and whether or not we could legitimately expand our foundational theory, concerns how we could possibly come to know the truth value of independent sentences. This paper pursues a slightly different tack, examining how we are ignorant of issues surrounding their truth. We argue that a study of how we are ignorant reveals a need for an understanding of set-theoretic explanation and motivates a pluralism concerning the adoption of foundational theory.

What sorts of consideration can be normative reasons for action? If we systematize the wide variety of considerations that can be cited as normative reasons, do we find that there is a single kind of consideration that can always be a reason? Desire-based theorists think that the fact that you want something or would want it under certain evaluatively neutral conditions can always be your normative reason for action. Value-based theorists, by contrast, think that what plays that role are evaluative (...) facts (or the facts that subvene them) about what you want, such as the fact that having it would be good in some way. This paper argues that value-based theorists are wrong; if we try to find a single kind of consideration that can always be normative reason, we find that sometimes our reason is the fact that we want something and not any corresponding evaluative fact. (shrink)

This introductory article describes the phenomena of incommensurability and incomparability, how they are related, and why they are important. Since incomparability is the more significant phenomenon, the paper takes that as its focus. It gives a detailed account of what incomparability is, investigates the relation between the incomparability of values and the incomparability of alternatives for choice, distinguishes incomparability from the related phenomena of parity, indeterminacy, and noncomparability, and, finally, defends a view about practical justification that vindicates the importance of (...) incomparability — assuming it exists — for practical reason. (shrink)

This paper proposes a way to understand transformative choices, choices that change ‘who you are.’ First, it distinguishes two broad models of transformative choice: 1) ‘event-based’ transformative choices in which some event—perhaps an experience—downstream from a choice transforms you, and 2) ‘choice-based’ transformative choices in which the choice itself—and not something downstream from the choice—transforms you. Transformative choices are of interest primarily because they purport to pose a challenge to standard approaches to rational choice. An examination of the event-based transformative (...) choices of L. A. Paul and Edna Ullman-Margalit, however, suggests that event-based transformative choices don’t raise any difficulties for standard approaches to rational choice. An account of choice-based transformative choices—and what it is to be transformed—is then proposed. Transformative choices so understood not only capture paradigmatic cases of transformative choice but also point the way to a different way of thinking about rational choice and agency. (shrink)

Heidegger argues that modern technology is quantifiably different from all earlier periods because of a shift in ethos from in situ craftwork to globalised production and storage at the behest of consumerism. He argues that this shift in technology has fundamentally shaped our epistemology, and it is almost impossible to comprehend anything outside the technological enframing of knowledge. The exception is when something breaks down, and the fault ‘shows up’ in fresh ways. Stiegler has several important addendums to Heidegger’s thesis. (...) Firstly, that Heidegger fails to fully appreciate the early Greek myth of Prometheus, and the technological depth that fire offers all human societies. Secondly, the fall, or failure, which is doubled in the myth of Prometheus, and shows up in epistemology accordingly. Thirdly the acceleration of technology since the onset of Information Technology, and the way this is disorientating our Being. I argue the fall in both Heidegger and early Stiegler has encaptured their imagination. In later work, Stiegler argues that acceleration is fused with algorithmic pretensions, that are distorting and undermining the creative political imaginary, and making it difficult to revalue the values that underpin the nihilist Anthropocene. The overcoming of the Anthropocene engages politics, economics, power, physics, and ecology. (shrink)

This paper argues that there is a particular kind of ‘internal’ commitment typically made in the context of romantic love relationships that has striking meta-normative implications for how we understand the role of the will in practical normativity. Internal commitments cannot plausibly explain the reasons we have in committed relationships on the usual model – as triggering reasons that are already there, in the way that making a promise triggers a reason via a pre-existing norm of the form ‘If you (...) make a promise to x, then you have a reason to x’. Instead, internal commitments are that in virtue of which one has the special reasons of committed relationships; they are the grounds of such reasons. In this way, the will is a source of practical normativity. (shrink)

This paper investigates two puzzles in practical reason and proposes a solution to them. First, sometimes, when we are practically certain that neither of two alternatives is better than or as good as the other with respect to what matters in the choice between them, it nevertheless seems perfectly rational to continue to deliberate, and sometimes the result of that deliberation is a conclusion that one alternative is better, where there is no error in one’s previous judgment. Second, there are (...) striking differences between rational agents – some rational agents have most reason to pursue careers on Wall Street while others have most reason to take up a career in teaching, or scuba diving, or working for political causes. These differences aren’t plausibly explained by ‘passive’ facts about our psychology or their causal interaction with our environment; instead, these facts seem in some sense to ‘express who we are’. But what is this sense? These puzzles disappear if we adopt a novel view about the source of the normativity of reasons – some reasons are given to us and others are reasons in virtue of an act of will. We make certain considerations reasons through an act of will and thus sometimes make it true through an act of agency that we have most reason to do one thing rather than another. (shrink)

In this paper I adduce a new argument in support of the claim that IBE is an autonomous form of inference, based on a familiar, yet surprisingly, under-discussed, problem for Hume’s theory of induction. I then use some insights thereby gleaned to argue for the claim that induction is really IBE, and draw some normative conclusions.

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)

John Locke accepts that every perception gives me immediate and intuitive knowledge of my own existence. However, this knowledge is limited to the present moment when I have the perception. If I want to understand the necessary and sufficient conditions of my continued existence over time, Locke argues that it is important to clarify what ‘I’ refers to. While we often do not distinguish the concept of a person from that of a human being in ordinary language, Locke emphasizes that (...) this distinction is important if we want to engage with questions of identity over time. According to Locke, persons are thinking intelligent beings who can consider themselves as extended into the past and future and who are concerned for their happiness and accountable for their actions. Moreover, for Locke a self is a person, considered from a first-personal point of view. I show that the concept of self that he develops in the context of his discussion of persons and personal identity is richer and more complex than the I-concept that he invokes in his version of the cogito. I further argue that Locke’s moral and religious views explain why he emphasizes the need for a conceptual distinction between persons and human beings. In the final section I turn to the reception of Locke’s view by some of his early critics and defenders, including Elizabeth Berkeley Burnet, an anonymous author, and Catharine Trotter Cockburn. (shrink)

This paper takes a new look at Francis Hutcheson's moral sense theory and examines it in light of the views of his rationalist critics and opponents who claim that there has to be an antecedent moral standard prior to any sense or affections. I examine how Gilbert Burnet, Samuel Clarke, and Catharine Trotter Cockburn each argue for the priority of reason over a moral sense and how Hutcheson responds or could respond to their views. Furthermore, I consider the proposal that (...) rather than regarding Hutcheson's moral sense theory as fundamentally opposed to moral rationalism, Hutcheson and Clarke endorse a shared moral metaphysics, as argued by Patricia Sheridan. Although I consider this proposal as too broad and believe it overlooks relevant metaphysical differences between Clarke and Hutcheson, I argue that the dispute between Hutcheson and his critics and opponents will not be settled without taking their underlying moral metaphysics into consideration. (shrink)

This encyclopedia entry urges what it takes to be correctives to common (mis)understandings concerning the phenomenon of incommensurability and incomparability and briefly outlines some of their philosophical upshots.

This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical (...) proof is given in the appendix). I also suggest that there are three senses of ‘rationally permissible’ which, once distinguished, show that parity does distinctive practical work that cannot be done by the usual trichotomy of relations or by incomparability. In this way, we have an additional argument for parity from the workings of practical reason. (shrink)

Understanding climate change is becoming an urgent requirement for those in education. The normative values of education have long been closely aligned with the global, modernised world. The industrial model has underpinned the hidden and overt curriculum. Increasingly though, a new eco-centric orientation to economics, technology, and social organisation is beginning to shape up the post-carbon world. Unless education is up to date with the issues of climate change, the estate of education will be unable to meet its task of (...) knowledge transfer. This paper covers the basic science and ethical policy debates, and begins to outline the questions that will necessarily entangle education as we orientate ourselves to the new world that is upon us. (shrink)