Daniel Isaacson has advanced an epistemic notion of arithmetical truth according to which the latter is the set of truths that we grasp on the basis of our understanding of the structure of natural numbers alone. Isaacson’s thesis is then the claim that Peano Arithmetic (PA) is the theory of finite mathematics, in the sense that it proves all and only arithmetical truths thus understood. In this paper, we raise a challenge for the thesis and show how (...) it can be overcome. We introduce the concept of purity for theories of arithmetic: a theory of arithmetic is pure when it only proves arithmetical truths. Then, we argue that, under Isaacson’s thesis, some PA-provable truths—including transfinite induction claims for infinite ordinals and some consistency statements—are seemingly not arithmetical in Isaacson’s sense, and hence that Isaacson’s thesis might entail the impurity of PA. Nonetheless, we conjecture that the advocate of Isaacson’s thesis can avoid this undesirable consequence: the arithmetical nature, as understood by Isaacson, of all contentious PA-provable statements can be justified. As a case study, we explore how this is done for transfinite induction claims with infinite ordinals below ε0. To this end, we show that the PA-proof of such claims employs exclusively resources from finite mathematics, and that ordinals below ε0 are finitary objects despite being infinite. (shrink)

I investigate when we can (rationally) have attitudes, and when we cannot. I argue that a comprehensive theory must explain three phenomena. First, being related by descriptions or names to a proposition one has strong reason to believe is true does not guarantee that one can rationally believe that proposition. Second, such descriptions, etc. do enable individuals to rationally have various non-doxastic attitudes, such as hope and admiration. And third, even for non-doxastic attitudes like that, not just any description will (...) allow it. I argue that we should think of attitude formation like we do (practical) choices among options. I motivate this view linguistically, extending "relevant alternatives'' theories of the attitudes to both belief and to the other, non-doxastic attitudes. Given a natural principle governing choice, and some important differences between doxastic and non-doxastic "choices'', we can explain these puzzling phenomena. (shrink)

I develop and argue for a kind of externalism about certain kinds of non-doxastic attitudes that I call policy externalism. Policy externalism about a given type of attitude is the view that all the reasonable policies for having attitudes of that type will not involve the agent's beliefs that some relevant conditions obtain. My defense primarily involves attitudes like hatred, regret, and admiration, and has two parts: a direct deductive argument and an indirect linguistic argument, an inference to the best (...) explanation of some strange ways we use certain conditionals. The main thought throughout is that attitudes we reason with, like belief, are very different from attitudes we don't reason with, in a way that constrains the former but not the latter. Finally, I investigate some consequences of policy externalism, including that it secures the possibility of genuine conditional apologies. (shrink)

This article introduces the notion of the directedness of a process, which underlies event causation as well as the persistence of things. Using this notion it investigates what happens in typical cases of active event causation. Causes never necessitate their effects because even non- probabilistic causes can be counteracted.

I consider difficult data involving the interaction of attitudes and conditionals, specifically non-doxastic attitude expressions like 'regret'. I first show that felicitous attitude conditionals in "ignorance contexts", where the relevant person doesn't know the antecedent is true, give rise to a number of difficult problems given widely held assumptions in semantics. I then argue that, even so, we should expect these conditionals to be true and reasonable to utter in ignorance contexts, given certain other kinds of attitude construction that tend (...) to involve free relatives like `whatever'. I then use that observation to explain many of the more puzzling aspects of these conditionals, and to show that we should treat felicitous doxastic attitude conditionals differently from felicitous non-doxastic ones. I leave explaining felicitous doxastic attitude conditionals for future work, but offer constraints on a satisfying explanation of them. (shrink)

It has been suggested that intuitions supporting the nonvacuity of counterpossibles can be explained by distinguishing an epistemic and a metaphysical reading of counterfactuals. Such an explanation must answer why we tend to neglect the distinction of the two readings. By way of an answer, I offer a generalized pattern for explaining nonvacuity intuitions by a stand-and-fall relationship to certain indicative conditionals. Then, I present reasons for doubting the proposal: nonvacuists can use the epistemic reading to turn the table against (...) vacuists, telling apart significant from spurious intuitions. Moreover, our intuitions tend to survive even if we clear-headedly intend a metaphysical reading. -/- . (shrink)

This paper defends Priorianism, a theory in the philosophy of time which combines three theses: first, that there is a metaphysical distinction between the present time and non-present times; second, that there are temporary propositions, that is, propositions that change in truth-value simpliciter over time; and third, that there is change over time only if there are temporary propositions. Priorianism is accepted by many Presentists, Growing Block Theorists, and Moving Spotlight Theorists. However, it is difficult to defend the view without (...) appealing to premises that those who reject the view find controversial. My aim in this paper is to defend Priorianism in a way that largely avoids appealing to such premises. I do three things: first (Section 1), I describe the component theses of Priorianism and the relations between them. Next (Section 2), I show how Priorians can respond to the argument that the B-theory implies that there are temporary propositions, and therefore satisfies the Priorian condition for there being change over time. Finally (Section 3), I defend the Priorian thesis that there is change over time only if there are temporary propositions against an alternative principle of change defended by Ross Cameron (The Moving Spotlight, 2015). (shrink)

This is a survey of recent debates concerning the normativity of belief. We explain what the thesis that belief is normative involves, consider arguments for and against that thesis, and explore its bearing on debates in metaethics.

While those who take a "structuralist" approach to racial justice issues are right to call attention to the importance of social practices, laws, etc., they sometimes go too far by suggesting that antiracist efforts ought to focus on changing unjust social systems rather than changing individuals’ minds. We argue that while the “either/or” thinking implied by this framing is intuitive and pervasive, it is misleading and self-undermining. We instead advocate for a “both/and” approach to antiracist moral education that explicitly teaches (...) how social structures influence ideas about race and how ideas about race shape, sustain, and transform social structures. Ideally, antiracist moral education will help people see how social change and moral progress depend on the symbiotic relations between individuals and structures. We articulate a conception of “structure-facing virtue” that exemplifies this hybrid approach to illuminate the pivotal role moral education plays in the fight for racial justice. (shrink)

Say that the Moving Spotlight Theory (MST) combines the following three theses: A-THEORY : There is an absolute distinction between present and non-present time.

Andy Egan has presented a dilemma for decision theory. As is well known, Newcomb cases appear to undermine the case for evidential decision theory. However, Egan has come up with a new scenario which poses difficulties for causal decision theory. I offer a simple solution to this dilemma in terms of a modified EDT. I propose an epistemological test: take some feature which is relevant to your evaluation of the scenarios under consideration, evidentially correlated with the actions under consideration albeit, (...) causally independent of them. Hold this feature fixed as a hypothesis. The test shows that, in Newcomb cases, EDT would mislead the agent. Where the test shows EDT to be misleading, I propose to use fictive conditional credences in the EDT-formula under the constraint that they are set to equal values. I then discuss Huw Price’s defence of EDT as an alternative to my diagnosis. I argue that my solution also applies if one accepts the main premisses of Price’s argument. I close with applying my solution to Nozick’s original Newcomb problem. (shrink)

What is consciousness and why is it so philosophically and scientifically puzzling? For many years philosophers approached this question assuming a standard physicalist framework on which consciousness can be explained by contemporary physics, biology, neuroscience, and cognitive science. This book is a debate between two philosophers who are united in their rejection of this kind of "standard" physicalism - but who differ sharply in what lesson to draw from this. Amy Kind defends dualism 2.0, a thoroughly modern version of dualism (...) (the theory that there are two fundamentally different kinds of things in the world: those that are physical and those that are mental) decoupled from any religious or non-scientific connotations. Daniel Stoljar defends non-standard physicalism, a kind of physicalism different from both the standard version and dualism 2.0. The book presents a cutting-edge assessment of the philosophy of consciousness and provides a glimpse at what the future study of this area might bring. (shrink)

Descartes wants to show that clear and distinct ideas are trustworthy. However, his argument seems circular. For his premise that God is trustworthy depends on clear and distinct insight. Descartes’ reaction to the circularity reproach can be interpreted in two ways. The first is a psychological one. Clear and distinct insights are coercing. Thus they cannot be doubted as long as one attends to them. The argument is only meant to extend this instantaneous coercion to the whole range of psychological (...) states. This reaction does not fit Descartes’ aim of more reliable beliefs. The second interpretation integrates this aim of reliability into the demands of clarity and distinctness. Clear and distinct insights are to bridge the gap between internal accessibility and external reliability. Yet in this interpretation the invocation of God’s trustworthiness seems superfluous. Departing from contemporary epistemological ideas two possibilities to nevertheless make sense of this invocation are discussed. The first is that the argument of God’s trustworthiness provides a gain in reflective coherence. However, this reasoning conflicts with the situation of methodic doubt which involves suspending one’s whole system of belief. The second, more promising possibility is that it is an epistemic aim to provide an account of origin and purpose of our cognitive faculties. (shrink)

ABSTRACTWe express and communicate many attitudes beyond belief, such as amusement, joy, admiration, hatred, and desire. I consider whether there are any general norms that would cover all of these cases. The most obvious generalisation of the most popular norms for assertion, fittingness-based theories, fail in part because it is sometimes an intrinsic good to have certain kinds of mental states. I develop an alternative, rightness-based, approach, according to which it is appropriate to communicate a mental state to an interlocutor (...) when it is right to make the interlocutor have that mental state because of the speech act. This view arises naturally from conversational participants’ common interests, and it helps to make sense of linguistic phenomena like expressives. (shrink)

Berit Brogaard and Joe Salerno (2008) have defended the validity of counterfactual hypothetical syllogism (CHS) within the Stalnaker-Lewis account. Whenever the premisses of an instance of CHS are non-vacuosly true, a shift in context has occurred. Hence the standard counterexamples to CHS suffer from context failure. Charles Cross (2011) rejects this argument as irreconcilable with the Stalnaker-Lewis account. I argue against Cross that the basic Stalnaker-Lewis truth condition may be supplemented in a way that makes (CHS) valid. Yet pace Brogaard (...) and Salerno, there are alternative ways of spelling out the basic truth condition which are standard in most debates; and given these ways, the counterexamples to CHS are successful. (shrink)

I take issue with two claims of DeRose: Conditionals of deliberation must not depend on backtracking grounds. ‘Were’ed-up conditionals coincide with future-directed indicative conditionals; the only difference in their meaning is that they must not depend on backtracking grounds. I use Egan’s counterexamples to causal decision theory to contest the first and an example of backtracking reasoning by David Lewis to contest the second claim. I tentatively outline a rivaling account of ‘were’ed-up conditionals which combines features of the standard analysis (...) of counterfactuals with the contextual relevance of the corresponding indicative conditionals. (shrink)

I criticize Yamada's account of rule-following. Yamada's conditions are not necessary. And he misses the deepest level of the rule-following considerations: how meaning rules come about.

Matthew Soteriou provides an analysis of authoritatively knowing one’s own mental acts which depends on a surprising assumption: One cannot truly judge that one is judging. After briefly criticizing his account of one’s awareness that one is judging, I critically scrutinize two of his arguments against the possibility of truly judging that one is judging. Firstly, assuming such a possibility leads to a regress. Secondly, the second-order judgement inevitably replaces the first-order judgement such as to make the former wrong.

Just War Theory (JWT) replaced an older "warrior code," an approach to war that remains poorly understood and dismissively treated in the philosophical literature. This paper builds on recent work on honor to address these deficiencies. By providing a clear, systematic exposition of "Honor War Theory" (HWT), we can make sense of paradigm instances of warrior psychology and behavior, and understand the warrior code as the martial expression of a broader honor-based ethos that conceives of obligation in terms of fair (...) competition for prestige. Far from being a romantic and outmoded approach to war, HWT accounts for current conflicts and predicts moral intuitions that JWT either rejects or cannot comfortably accommodate. So although it is not recommended as a replacement for JWT, there is good reason think that a fully mature, realistic, and yet properly normative theory of war ethics will incorporate a variety of insights from HWT. (shrink)

This essay is a detailed study of William P. Alston’s view on the nature of Christian faith, which I assess in the context of three problems: the problem of the skeptical Christian, the problem of faith and reason, and the problem of the trajectory. Although Alston intended a view that would solve these problems, it does so only superficially. Fortunately, we can distinguish Alston’s view, on the one hand, from Alston’s illustrations of it, on the other hand. I argue that, (...) although Alston’s view only superficially solves these problems, Alston’s illustrations of it suggest a substantive way to solve them, a way that I sketch briefly. (shrink)

Springer. We find in contemporary culture starkly contrasting estimates of the value of faith. On the one hand, for many people, faith is a virtue or positive human value, something associated with understanding, hope, and love, something to be inculcated, maintained, and cherished. On the other hand, for many people, faith is a vice, something associated with dogmatism, arrogance, and close-mindedness, something to be avoided at all costs. The papers included in this special (double) issue on approaches to faith explore (...) questions about faith in a variety of settings through a diverse range of examples, both secular and religious. The attempt to deepen our understanding of faith in the context of ordinary human relationships (e.g., between parents and children, friends, generals and their armies, business partners, citizens and the state), a commitment to ideals, or the pursuit of significant goals is clearly of general philosophical interest, as is the examination of potential connections between faith and topics such as trust or reliance. (shrink)

Conscientious objection in healthcare has come under heavy criticism on two grounds recently, particularly regarding abortion provision. First, critics claim conscientious objection involves a refusal to provide a legal and beneficial procedure requested by a patient, denying them access to healthcare. Second, they argue the exercise of conscientious objection is based on unverifiable personal beliefs. These characteristics, it is claimed, disqualify conscientious objection in healthcare. Here, we defend conscientious objection in the context of abortion provision. We show that abortion has (...) a dubitable claim to be medically beneficial, is rarely clinically indicated, and that conscientious objections should be accepted in these circumstances. We also show that reliance on personal beliefs is difficult to avoid if any form of objection is to be permitted, even if it is based on criteria such as the principles and values of the profession or the scope of professional practice. (shrink)

Berkeley's doctrines about mind, the language of nature, substance, minima sensibilia, notions, abstract ideas, inference, and freedom appropriate principles developed by the 16th-century logician Peter Ramus and his 17th-century followers (e.g., Alexander Richardson, William Ames, John Milton). Even though Berkeley expresses himself in Cartesian or Lockean terms, he relies on a Ramist way of thinking that is not a form of mere rhetoric or pedagogy but a logic and ontology grounded in Stoicism. This article summarizes the central features of Ramism, (...) indicates how Berkeley adapts Ramist concepts and strategies, and chronicles Ramism's pervasiveness in Berkeley's education, especially at Trinity College Dublin. (shrink)

Pro-life advocates commonly argue that fetuses have the moral status of persons, and an accompanying right to life, a view most pro-choice advocates deny. A difficulty for this pro-life position has been Judith Jarvis Thomson’s violinist analogy, in which she argues that even if the fetus is a person, abortion is often permissible because a pregnant woman is not obliged to continue to offer her body as life support. Here, we outline the moral theories underlying public health ethics, and examine (...) the COVID-19 pandemic as an example of public health considerations overriding individual rights. We argue that if fetuses are regarded as persons, then abortion is of such prevalence in society that it also constitutes a significant public health crisis. We show that on public health considerations, we are justified in overriding individual rights to bodily autonomy by prohibiting abortion. We conclude that in a society that values public health, abortion can only be tolerated if fetuses are not regarded as persons. (shrink)

Recently, Piccinini and Craver have stated three theses concerning the relations between functional analysis and mechanistic explanation in cognitive sciences: No Distinctness: functional analysis and mechanistic explanation are explanations of the same kind; Integration: functional analysis is a kind of mechanistic explanation; and Subordination: functional analyses are unsatisfactory sketches of mechanisms. In this paper, I argue, first, that functional analysis and mechanistic explanations are sub-kinds of explanation by scientific (idealized) models. From that point of view, we must take into account (...) the tradeoff between the representational/explanatory goals of generality and precision that govern the practice of model-building. In some modeling scenarios, it is rational to maximize explanatory generality at the expense of mechanistic precision. This tradeoff allows me to put forward a problem for the mechanist position. If mechanistic modeling endorses generality as a valuable goal, then Subordination should be rejected. If mechanists reject generality as a goal, then Integration is false. I suggest that mechanists should accept that functional analysis can offer acceptable explanations of cognitive phenomena. (shrink)

Infallibilism is the view that a belief cannot be at once warranted and false. In this essay we assess three nonpartisan arguments for infallibilism, arguments that do not depend on a prior commitment to some substantive theory of warrant. Three premises, one from each argument, are most significant: (1) if a belief can be at once warranted and false, then the Gettier Problem cannot be solved; (2) if a belief can be at once warranted and false, then its warrant can (...) be transferred to an accidentally true belief; (3) if a belief can be at once warranted and false, then it can be warranted and accidentally true. We argue that each of these is either false or no more plausible than its denial. Along the way, we offer a solution to the Gettier Problem that is compatible with fallibilism. (shrink)

This paper offers a novel interpretation of Descartes's conception of freedom that resolves an important tension at the heart of his view. It does so by appealing to the important but overlooked distinction between possessing a power, exercising a power, and being in a position to exercise a power.

Reprinted in Philosophical and Theological Essays on the Trinity, Oxford, 2009, eds Michael Rea and Thomas McCall. In this essay, I assess a certain version of ’social Trinitarianism’ put forward by J. P. Moreland and William Lane Craig, ’trinity monotheism’. I first show how their response to a familiar anti-Trinitarian argument arguably implies polytheism. I then show how they invoke three tenets central to their trinity monotheism in order to avoid that implication. After displaying these tenets more fully, I argue (...) that Trinitarians would do well to hold Moreland’s and Craig’s trinity monotheism at arms length. (shrink)

This 9,000+ word entry briefly assesses five models of the Trinity, those espoused by (i) Richard Swinburne, (ii) William Lane Craig, (iii) Brian Leftow, (iv) Jeff Brower and Michael Rea, and (v) Peter van Inwagen.

Although the differences between Spinoza and Nietzsche are crucial, there are several aspects on which one can trace a relevant set of similarities between the two authors. The refutation of teleology, transcendence and free will, together with the consequent embracement of fatality, the pursuit of joy, and the particular emphasis on affectivity are just a few of the resemblances that can be drawn between Spinoza and Nietzsche. This paper is focused only on the last aspect mentioned above. Both Spinoza and (...) Nietzsche developed an account of immanent pursuit of joy, which can be derived from a particular understanding of affects. The two philosophers tried to create a peculiar bridge between knowledge and affectivity, which meant a significant departure from their previous philosophical tradition, and which gave them an idiosyncratic place in the entire picture of modern thought. (shrink)

Clues about what Berkeley was planning to say about mind in his now-lost second volume of the Principles seem to abound in his Notebooks. However, commentators have been reluctant to use his unpublished entries to explicate his remarks about spiritual substances in the Principles and Dialogues for three reasons. First, it has proven difficult to reconcile the seemingly Humean bundle theory of the self in the Notebooks with Berkeley's published characterization of spirits as “active beings or principles.” Second, the fact (...) that Berkeley did not publish his Notebooks insights on mind has led some to claim that he later rejected his early views. Third, many of the Notebooks entries on mind have a ‘+’ sign next to them, which has been understood for decades to comprise a Black List of views about which Berkeley had doubts or subsequently rejected. In my dialogue, I describe how Berkeley's “congeries” account of mind (1) differs from Hume's bundle theory in a way that complements Berkeley's published remarks and (2) undercuts the claim that he later rejected his early views. Most importantly, (3) I show how a careful analysis of the British Library manuscript of the Notebooks refutes the Black List hypothesis. (shrink)

A brief article on faith as a psychological attitude.

Commentators have not said much regarding Berkeley and Stoicism. Even when they do, they generally limit their remarks to Berkeley’s Siris (1744) where he invokes characteristically Stoic themes about the World Soul, “seminal reasons,” and the animating fire of the universe. The Stoic heritage of other Berkeleian doctrines (e.g., about mind or the semiotic character of nature) is seldom recognized, and when it is, little is made of it in explaining his other doctrines (e.g., immaterialism). None of this is surprising, (...) considering how Stoics are considered arch-materialists and determinists. My aim is to suggest that our understanding of Berkeley’s philosophy is improved significantly by acknowledging its underlying Stoic character. I argue that Berkeley proposes not only a semantic ontology based on assumptions of Stoic logic but also a doctrine in which perceptions or ideas are intelligible precisely because they are always embedded in the propositions of a discourse or language. (shrink)

A critique of Plantinga's free will defense. For an updated version of this critique, with a reply to objections from William Rowe and Alvin Plantinga, see my "The logical problem of evil: Plantinga and Mackie," in Justin P. McBrayer & Daniel Howard‐Snyder (eds.), The Blackwell Companion to the Problem of Evil, Wiley-Blackwell, 2013, pp. 19-33.

This book is conceived as an introductory text into the theory of syntactic and semantic information, and information flow.

(Original French text followed by English version.) For Berkeley, mathematical and scientific issues and concepts are always conditioned by epistemological, metaphysical, and theological considerations. For Berkeley to think of any thing--whether it be a geometrical figure or a visible or tangible object--is to think of it in terms of how its limits make it intelligible. Especially in De Motu, he highlights the ways in which limit concepts (e.g., cause) mark the boundaries of science, metaphysics, theology, and morality.

Why should a person, and in the context of this conference particularly an art historian, take seriously the notion of the aesthetic, its discovery and/or rediscovery? Aesthetics might after all be considered at best something of a distraction from bread and butter historical and sociological analysis, and at worst entirely incompatible with it. Pursuing the line further it might be urged that, since on the one hand aesthetics is about 'how things appear'—i.e. is subject to individual predilection, taste and feeling—and (...) on the other, historical analysis is about the careful and scholarly reconstruction of a past social reality, the two must be at loggerheads. What the art historian writes about on a weekday whilst wearing her hard hat at the office must not be confused with what she personally feels, wandering around a gallery in her woolly hat at the weekend. (shrink)

We argue that philosophers ought to distinguish epistemic decision theory and epistemology, in just the way ordinary decision theory is distinguished from ethics. Once one does this, the internalist arguments that motivate much of epistemic decision theory make sense, given specific interpretations of the formalism. Making this distinction also causes trouble for the principle called Propriety, which says, roughly, that the only acceptable epistemic utility functions make probabilistically coherent credence functions immodest. We cast doubt on this requirement, but then argue (...) that epistemic decision theorists should never have wanted such a strong principle in any case. (shrink)

In this chapter we explain what experimental philosophy of science is, how it relates to the philosophy of science, and STS more broadly, and what sorts of contributions is can make to ongoing research in the philosophy of science.

Throughout the 20th century, market capitalism was defended on parallel grounds. First, it promotes freedom by enabling individuals to exploit their own property and labor-power; second, it facilitates an efficient allocation and use of resources. Recently, however, both defenses have begun to unravel—as capitalism has moved into its “platform” phase. Today, the pursuit of allocative efficiency, bolstered by pervasive data surveillance, often undermines individual freedom rather than promoting it. And more fundamentally, the very idea that markets are necessary to achieve (...) allocative efficiency has come under strain. Even supposing, for argument’s sake, that the claim was true in the early 20th century when von Mises and Hayek pioneered it, advances in computing have rekindled the old “socialist calculation” debate. And this time around, markets—as information technology—are unlikely to have the upper hand. -/- All of this, we argue, raises an important set of governance questions regarding the political economy of the future. We focus on two: How much should our economic system prioritize freedom, and to what extent should it rely on markets? The arc of platform capitalism bends, increasingly, toward a system that neither prioritizes freedom nor relies on markets. And the dominant critical response, exemplified by Shoshana Zuboff’s work, has been to call for a restoration of market capitalism. Longer term, however, we believe it would be more productive to think about how “postmarket” economic arrangements might promote freedom—or better yet, autonomy—even more effectively than markets, and to determine the practical steps necessary to realize that possibility. (shrink)

According to John Mackie, moral talk is representational but its metaphysical presuppositions are wildly implausible. This is the basis of Mackie's now famous error theory: that moral judgments are cognitively meaningful but systematically false. Of course, Mackie went on to recommend various substantive moral judgments, and, in the light of his error theory, that has seemed odd to a lot of folk. Richard Joyce has argued that Mackie's approach can be vindicated by a fictionalist account of moral discourse. And Mark (...) Kalderon has argued that moral fictionalism is attractive quite independently of Mackie's error-theory. Kalderon argues that the Frege-Geach problem shows that we need moral propositions, but that a fictionalist can and should embrace propositional content together with a non-cognitivist account of acceptance of a moral proposition. Indeed, it is clear that any fictionalist is going to have to postulate more than one kind of acceptance attitude. We argue that this doubleapproach to acceptance generates a new problem -a descendent of Frege-Geach -which we call the acceptance-transfer problem. Although we develop the problem in the context of Kalderon's version of non-cognitivist fictionalism, we show that it is not the noncognitivist aspect of Kalderon's account that generates the problem. A closely related problem surfaces for the more typical variants of fictionalism according to which accepting a moral proposition is believing some closely related non-moral proposition. Fictionalists of both stripes thus have an attitude problem. (shrink)

Kit Fine has proposed a new solution to what he calls ‘a familiar puzzle’ concerning modality and existence. The puzzle concerns the argument from the alleged truths ‘It is necessary that Socrates is a man’ and ‘It is possible that Socrates does not exist’ to the apparent falsehood ‘It is possible that Socrates is a man and does not exist’. We discuss in detail Fine’s setting up of the ‘puzzle’ and his rejection, with which we concur, of two mooted solutions (...) to it. (One of these uses standard, Kripkean, notions, and the other rests on work done by Arthur Prior.) We set out, and reject, the philosophy of modality underlying Fine’s new solution, and we defend an alternative response to the alleged puzzle. Our solution follows the work of David Wiggins in distinguishing between the sentential operator ‘It is necessary that’ and the predicate modifier ‘necessarily’. We briefly provide this distinction with a possible- world semantics on which it is neither a necessary truth, in some sense, that Socrates exists nor true, in some sense, that Socrates necessarily exists. (shrink)

This is a pdf of a Mathematica calculation that supplements the paper "Presentist Fragmentalism and Quantum Mechanics" forthcoming in Foundations of Physics. In that paper the Born rule (or at least a progenitor) is derived from experimental conditions on the mutual observations of two fragments. In this pdf the experimental conditions are applied to Hilbert space dimensions 3, 4, and 5. It turns out each of these have a 1-dimensional solution space which, it is hoped, can be interpretated as the (...) phase. (shrink)