The principle of Conditional Excluded Middle has been a matter of longstanding controversy in both semantics and metaphysics. The principle suggests (among other things) that for any coin that isn't flipped, there is a fact of the matter about how it would have landed if it had been flipped: either it would have landed heads, or it would have landed tails. This view has gained support from linguistic evidence indicating that ‘would’ commutes with negation (e.g., ‘not: if A, would C’ (...) is equivalent to ‘if A, would not C’). There is, however, a long list of operators that similarly appear to commute with negation, even though the corresponding excluded middle principles are indefensible. We suggest that the data supporting Conditional Excluded Middle is best explained as a pragmatic effect. (shrink)

Dynamic semantics violates numerous classical laws, including Non-Contradiction. Proponents of dynamic semantics have offered no explanation for this behavior, and some critics consider this result to be strong evidence against the tenability of the dynamic program. I defend and explain failures of Non-Contradiction by comparing dynamic semantics and classical, truth conditional semantics in terms of their idealizing assumptions. I demonstrate that dynamic semantics rejects context fixity, an idealizing assumption that truth-conditional semantics typically adopts. I then argue that any semantics which (...) rejects context fixity should, by the classical semanticist’s own lights, violate Non-Contradiction under certain circumstances. I then demonstrate that dynamic semantics violates Non-Contradiction in all and only those circumstances. I subsequently appeal to this insight to vindicate some of dynamic semantics’ more controversial predictions. I close by suggesting that discussion of idealizing assumptions, common in the sciences, is similarly crucial to fruitful discussion in natural language semantics. (shrink)

Strategies for combating climate change which advocate for human population limitation have recently been understandably criticised on the grounds that they embody a form of 'climate colonialism': a moral wrong that involves disproportionally shifting the burdens of climate change onto developing, historically exploited nations (which have low per capita emissions but high fertility rates) in order to offset burdens in affluent nations (which have high per capita emissions but low fertility rates). This article argues that once the relevance of population (...) growth to climate change has been correctly understood as working in tandem with consumption levels, this objection fails as a general criticism. Moreover, even if population could be ignored as a variable, the climate colonialism charge would re-emerge in a different form, since, at present population sizes, it would be environmentally catastrophic for developing nations to reach production ambitions which see their per capita emissions massively increase. Even if emission reductions in affluent nations are (rightly) prioritised, there are good reasons to prevent enormous growth of emissions in developing nations. Those environmental risks become much greater given those nations' projected population increases in the coming century. The article then explores how the necessary radical environmental policies pertaining to fertility rates might be enacted in non-coercive ways, reducing the sting of the ‘climate colonialism’ charge. The article ends by considering some reasons to be moderately sceptical about such policies. (shrink)

Todd and Rabern (2021) mount an argument that – contra both Thomason’s (1970) supervaluationism and MacFarlane’s (2014) relativism – an “open future” view is incompatible with the principle they call “Retro-closure”, according to which today’s rain implies that yesterday it was true that it would rain a day later. In a recent piece, MacFarlane replies. This paper has two aims. First, I argue that MacFarlane’s response to Todd and Rabern is unsuccessful on its own terms. Second, I attempt to clarify (...) Todd and Rabern’s overall argument, and explain how MacFarlane’s replies should be construed within the overall dialectic. The intended result: if you want an "open future", then one's best option is a modified Peirceanism (Todd 2021); if one wants Retro-closure, one's best option is one on which there is a determinate "Thin Red Line" (a view sometimes called "Ockhamism"). However, one cannot have what supervaluationism and relativism both promise, viz., a view that preserves both. (shrink)

Traditional wisdom dictates that statistical model outputs are estimates, not measurements. Despite this, statistical models are employed as measurement instruments in the social sciences. In this article, I scrutinize the use of a specific model—the logit model—for psychological measurement. Given the adoption of a criterion for measurement that I call comparability, I show that the logit model fails to yield measurements due to properties that follow from its fixed residual variance.

Though my ultimate concern is with issues in epistemology and metaphysics, let me phrase the central question I will pursue in terms evocative of philosophy of religion: What are the implications of our logic-in particular, of Cantor and G6del-for the possibility of omniscience?

We present and defend a Thomistic cosmological argument that runs independently of the principle of sufficient reason, sidestepping perhaps two of the most recurrent objections to cosmological reasoning: (a) the possibility of brute facts (i.e., that not everything needs an adequate explanation of its existence) and (b) the accusation of the composition fallacy. Drawing upon the work of Barry Miller, we show that any contingent entity like Thumper the rabbit, upon metaphysical analysis, is either a contradictory structure and therefore an (...) impossible existent or else points towards an extrinsic cause for the unity of its really distinct metaphysical parts (namely, its essence and its existence). This conclusion enables the inference that only an uncaused cause with no really distinct metaphysical parts can ultimately produce anything with really distinct metaphysical parts. We then suggest it is not implausible that this entity is God. (shrink)

This book launches a sustained defense of a radical interpretation of the doctrine of the open future. Patrick Todd argues that all claims about undetermined aspects of the future are simply false.

Conspiracy theories are rather a popular topic these days, and a lot has been written on things like the meaning of _conspiracy theory_, whether it’s ever rational to believe conspiracy theories, and on the psychology and demographics of people who believe conspiracy theories. But very little has been said about why people might be led to posit conspiracy theories in the first place. This paper aims to fill this lacuna. In particular, I shall argue that, in open democratic societies, citizens (...) justifiably presuppose that the epistemic authorities—journalists, academics, scientists, and so on—are engaged in a good faith pursuit of the truth. This presupposition generates certain normative expectations on the behaviors of the epistemic authorities—they ought to be open to new evidence, possess a healthy degree of skepticism, be willing to engage with opponents, and so on. So, when an epistemic authority is presented with some putatively anomalous data or an alternative hypothesis for some event or phenomena, people expect the epistemic authority to respond in a way that is consonant with these norms. In some instances, however, the epistemic authorities do not respond in this way and instead are dogmatic, dismissive, and engage in _ad hominem_. From the point of view of the citizen, there’s a tension here between how the epistemic authorities ought to behave and how they have, in fact, behaved which is best resolved either by taking the epistemic authorities less seriously or by positing a conspiracy theory. Put another way, the failure of the epistemic authorities to adhere to the norms by which we take them to be governed when presented with apparent anomalies or alternative hypotheses is one reason for which one might initially posit a conspiracy theory. (shrink)

Moral latitude is only ever a matter of coincidence on the most popular decision procedure in the literature on moral uncertainty. In all possible choice situations other than those in which two or more options happen to be tied for maximal expected choiceworthiness, Maximize Expected Choiceworthiness implies that only one possible option is uniquely appropriate. A better theory of appropriateness would be more sensitive to the decision maker’s credence in theories that endorse agent-centred prerogatives. In this paper, we will develop (...) and defend a modified version of this view that allows for agent-centred prerogatives and supererogation as part of its verdicts about appropriateness. (shrink)

The present article is a sympathetic critique of the most prominent contemporary articulations of family abolitionism. It examines whether queer communist family abolitionism is successful in linking an account of reasons for abolition, with an account of the means of abolition, and finally with an account of the ends of abolition in the form of speculation on a possible world without families. Recent work by M.E. O’Brien has developed these connections in ways that have never been done so thoroughly before; (...) but the rejection of states as an institutional form of political power leaves it unclear what forms of equality we could expect in such a world, and why coercive power would be unnecessary there. Family abolition is a utopian political agenda; but that utopianism needs to be constrained by a realist concern with issues of power, resources, and human capacities. This will require confronting trade-offs and imperfections within possible worlds without families. The recognition that there are many paths to a world without families, and many possible such worlds, is the first step towards aligning reasons, means, and ends and confronting the social and political trade-offs that this entails. (shrink)

One important task of metaphysics is to answer the question of what it is for an object to exist. The first part of this book offers a systematic reconstruction and critique of contemporary views on existence. The upshot of this part is that the contemporary debate has reached an impasse because none of the considered views is able to formulate a satisfactory answer to this fundamental metaphysical question. The second part reconstructs Thomas Aquinas’s view on existence (esse) and argues that (...) it contributes a new perspective which allows us to see why the contemporary debate has reached this impasse. It has come to this point because it has taken a premise for granted which Aquinas’s view rejects, namely, that the existence of an object consists in something’s having a property. A decisive contribution of Aquinas’s theory of esse is that it makes use of the ideas of metaphysical participation and composition. In this way, it can be explained how an object can have esse without being the case that esse is a property of it. This book brings together a reconstruction from the history of philosophy with a systematic study on existence and is therefore relevant for scholars interested in contemporary or medieval theories of existence. (shrink)

A small consortium of philosophers has begun work on the implications of epistemic networks (Zollman 2008 and forthcoming; Grim 2006, 2007; Weisberg and Muldoon forthcoming), building on theoretical work in economics, computer science, and engineering (Bala and Goyal 1998, Kleinberg 2001; Amaral et. al., 2004) and on some experimental work in social psychology (Mason, Jones, and Goldstone, 2008). This paper outlines core philosophical results and extends those results to the specific question of thresholds. Epistemic maximization of certain types does show (...) clear threshold effects. Intriguingly, however, those effects appear to be importantly independent from more familiar threshold effects in networks. (shrink)

It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for a (...) wrong that x has committed, then all cases in which x blames x (i.e. cases of self-blame) are rendered inappropriate. But it seems to be ethical common-sense that we are often, sadly, in position (indeed, excellent, privileged position) to blame ourselves for our own moral failings. And thus we have a paradox: a conflict between the inappropriateness of hypocritical blame, and the appropriateness of self-blame. We consider several ways of resolving the paradox, and contend none is as defensible as a position that simply accepts it: we should never blame ourselves. In defending this startling position, we defend a crucial distinction between self-blame and guilt. (shrink)

At least since Aristotle's famous discussion of the sea-battle tomorrow in On Interpretation 9, philosophers have been fascinated by a rich set of interconnecte.

The Hong and Page ‘diversity trumps ability’ result has been used to argue for the more general claim that a diverse set of agents is epistemically superior to a comparable group of experts. Here we extend Hong and Page’s model to landscapes of different degrees of randomness and demonstrate the sensitivity of the ‘diversity trumps ability’ result. This analysis offers a more nuanced picture of how diversity, ability, and expertise may relate. Although models of this sort can indeed be suggestive (...) for diversity policies, we advise against interpreting such results overly broadly. (shrink)

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...) in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

Recently, philosophers have turned their attention to the question, not when a given agent is blameworthy for what she does, but when a further agent has the moral standing to blame her for what she does. Philosophers have proposed at least four conditions on having “moral standing”: -/- 1. One’s blame would not be “hypocritical”. 2. One is not oneself “involved in” the target agent’s wrongdoing. 3. One must be warranted in believing that the target is indeed blameworthy for the (...) wrongdoing. 4. The target’s wrongdoing must some of “one’s business”. -/- These conditions are often proposed as both conditions on one and the same thing, and as marking fundamentally different ways of “losing standing.” Here I call these claims into question. First, I claim that conditions (3) and (4) are simply conditions on different things than are conditions (1) and (2). Second, I argue that condition (2) reduces to condition (1): when “involvement” removes someone’s standing to blame, it does so only by indicating something further about that agent, viz., that he or she lacks commitment to the values that condemn the wrongdoer’s action. The result: after we clarify the nature of the non-hypocrisy condition, we will have a unified account of moral standing to blame. Issues also discussed: whether standing can ever be regained, the relationship between standing and our "moral fragility", the difference between mere inconsistency and hypocrisy, and whether a condition of standing might be derived from deeper facts about the "equality of persons". (shrink)

In a series of formal studies and less formal applications, Hong and Page offer a ‘diversity trumps ability’ result on the basis of a computational experiment accompanied by a mathematical theorem as explanatory background (Hong & Page 2004, 2009; Page 2007, 2011). “[W]e find that a random collection of agents drawn from a large set of limited-ability agents typically outperforms a collection of the very best agents from that same set” (2004, p. 16386). The result has been extremely influential as (...) an epistemic justification for diversity policy initiatives. Here we show that the ‘diversity trumps ability’ result is tied to the particular random landscape used in Hong and Page’s simulation. We argue against interpreting results on that random landscape in terms of ‘ability’ or ‘expertise.’ These concepts are better modeled on smother and more realistic landscapes, but keeping other parameters the same those are landscapes on which it is groups of the best performing that do better. Smoother landscapes seem to vindicate both the concept and the value of expertise. Change in other parameters, however, also vindicates diversity. With an increase in the pool of available heuristics, diverse groups again do better. Group dynamics makes a difference as well; simultaneous ‘tournament’ deliberation in a group in place of the ‘relay’ deliberation in Hong and Page’s original model further emphasizes an advantage for diversity. ‘Tournament’ 2 dynamics particularly shows the advantage of mixed groups that include both experts and non-experts. As a whole, our modeling results suggest that relative to problem characteristics and conceptual resources, the wisdom of crowds and the wisdom of the few each have a place. We regard ours as a step toward attempting to calibrate their relative virtues in different modelled contexts of intellectual exploration. (shrink)

As well as disagreeing about how much one should donate to charity, moral theories also disagree about where one should donate. In light of this disagreement, how should the morally uncertain philanthropist allocate her donations? In many cases, one intuitively attractive option is for the philanthropist to split her donations across all of the charities that are recommended by moral views in which she has positive credence, with each charity’s share being proportional to her credence in the moral theories that (...) recommend that particular charity. Despite the fact that something like this approach is already being used by real-world philanthropists to distribute billions of dollars of donations, it is not supported by any of the approaches to moral uncertainty that have been proposed thus-far in the philosophical literature. In this paper, we will develop a bargaining-based approach to moral uncertainty that honors the proportionality intuition in favor of splitting one’s donations. We also show how this bargaining-based approach has several further advantages over the best alternative proposals. (shrink)

In response to criticism, we often say – in these or similar words – “Let’s see you do better!” Prima facie, it looks like this response is a challenge of a certain kind – a challenge to prove that one has what has recently been called standing. More generally, the data here seems to point a certain kind of norm of criticism: be better. Slightly more carefully: One must: criticize x with respect to standard s only if one is better (...) than x with respect to standard s. In this paper, I defend precisely this norm of criticism – an underexplored norm that is nevertheless ubiquitous in our lives, once we begin looking for it. The be better norm is, I hope to show, continuously invoked in a wide range of ordinary settings, can undergird and explain the widely endorsed non-hypocrisy condition on the standing to blame, and apparent counterexamples to the norm are no such counterexamples at all. I further contend that, given some plausible principles, my previous “moral commitment” account of the moral standing to blame will be extensionally equivalent to the be better norm. (shrink)

There is a familiar debate between Russell and Strawson concerning bivalence and ‘the present King of France’. According to the Strawsonian view, ‘The present King of France is bald’ is neither true nor false, whereas, on the Russellian view, that proposition is simply false. In this paper, I develop what I take to be a crucial connection between this debate and a different domain where bivalence has been at stake: future contingents. On the familiar ‘Aristotelian’ view, future contingent propositions are (...) neither true nor false. However, I argue that, just as there is a Russellian alternative to the Strawsonian view concerning ‘the present King of France’, according to which the relevant class of propositions all turn out false, so there is a Russellian alternative to the Aristotelian view, according to which future contingents all turn out false, not neither true nor false. The result: contrary to millennia of philosophical tradition, we can be open futurists without denying bivalence. (shrink)

Incompatibilism about responsibility and determinism is sometimes directly construed as the thesis that if we found out that determinism is true, we would have to give up the reactive attitudes. Call this "the consequence". I argue that this is a mistake: the strict modal thesis does not entail the consequence. First, some incompatibilists (who are also libertarians) may be what we might call *resolute responsibility theorists* (or "flip-floppers"). On this view, if we found out that determinism is true, this would (...) not be to find out that no one is responsible; instead, what this would suggest is that incompatibilism is after all false. Second, some incompatibilists may instead deny the claim that if we found out that no one deserves the reactiveattitudes, we would have to give up the reactive attitudes. Call this position *innocent incompatibilism*. I explore several different reasons why the fact that no one deserves the reactive attitudes likely does not translate into a requirement for us to give up the reactive attitudes. The upshot: incompatibilism may be practically irrelevant, even if true. (shrink)

These are my materials (a short precis, and replies to John MacFarlane, Mitchell Green, Ryan Wasserman, and Anthony Bigg and Kristie Miller) for a symposium on my book, _The Open Future: Why Future Contingents are All False_ (OUP, 2021) in *Analytic Philosophy*. [The contribution from MacFarlane is available on his website, those from Wasserman and Green are on their Academia profiles, and the contribution from Bigg and Miller is on Miller's PhilPapers profile.].

We model scientific theories as Bayesian networks. Nodes carry credences and function as abstract representations of propositions within the structure. Directed links carry conditional probabilities and represent connections between those propositions. Updating is Bayesian across the network as a whole. The impact of evidence at one point within a scientific theory can have a very different impact on the network than does evidence of the same strength at a different point. A Bayesian model allows us to envisage and analyze the (...) differential impact of evidence and credence change at different points within a single network and across different theoretical structures. (shrink)

P.F. Strawson’s (1962) “Freedom and Resentment” has provoked a wide range of responses, both positive and negative, and an equally wide range of interpretations. In particular, beginning with Gary Watson, some have seen Strawson as suggesting a point about the “order of explanation” concerning moral responsibility: it is not that it is appropriate to hold agents responsible because they are morally responsible, rather, it is ... well, something else. Such claims are often developed in different ways, but one thing remains (...) constant: they meant to be incompatible with libertarian theories of moral responsibility. The overarching theme of this paper is that extant developments of “the reversal” face a dilemma: in order to make the proposals plausibly anti-libertarian, they must be made to be implausible on other grounds. I canvas different attempts to articulate a “Strawsonian reversal”, and argue that none is fit for the purposes for which it is intended. I conclude by suggesting a way of clarifying the intended thesis: an analogy with the concept of funniness. The result: proponents of the “reversal” need to accept the difficult result that if we blamed small children, they would be blameworthy, or instead explain how their view escapes this result, while still being a view on which our blaming practices “fix the facts” of moral responsibility. (shrink)

These are my materials (a short precis, and replies to Alan Rhoda and Daniel Rubio) for an invited symposium on my book _The Open Future: Why Future Contingents are All False_ (OUP, 2021) in IJPR. [The commentaries from Rhoda/Rubio are available on their respective PhilPapers profiles.].

Veltman’s test semantics and developments thereof reject the canon about semantic contents and attitude ascriptions in favor of dynamic alternatives. According to these theories the semantic content of a sentence is not a proposition, but a context change potential (CCP). Similarly, beliefs are not taken to be relations between agents and propositions, but agents and CCPs. These deviations from the canon come at the cost of an elegant explanation about the correctness of belief. Standardly, it is taken that the content (...) of a belief is correct just in case the content of that belief is true. The proponent of the test semantics cannot appeal to this explanation since they hold that certain contents, namely epistemically modalized contents, do not express propositions, and are neither true nor false. After motivating the need for an account of the correctness of belief within the dynamic framework, I argue that the few extant accounts in the literature are unsatisfactory. A novel account is proposed that avoids the problems of competing views. (shrink)

At least since Aristotle’s famous 'sea-battle' passages in On Interpretation 9, some substantial minority of philosophers has been attracted to the doctrine of the open future--the doctrine that future contingent statements are not true. But, prima facie, such views seem inconsistent with the following intuition: if something has happened, then (looking back) it was the case that it would happen. How can it be that, looking forwards, it isn’t true that there will be a sea battle, while also being true (...) that, looking backwards, it was the case that there would be a sea battle? This tension forms, in large part, what might be called the problem of future contingents. A dominant trend in temporal logic and semantic theorizing about future contingents seeks to validate both intuitions. Theorists in this tradition--including some interpretations of Aristotle, but paradigmatically, Thomason (1970), as well as more recent developments in Belnap, et. al (2001) and MacFarlane (2003, 2014)--have argued that the apparent tension between the intuitions is in fact merely apparent. In short, such theorists seek to maintain both of the following two theses: (i) the open future: Future contingents are not true, and (ii) retro-closure: From the fact that something is true, it follows that it was the case that it would be true. It is well-known that reflection on the problem of future contingents has in many ways been inspired by importantly parallel issues regarding divine foreknowledge and indeterminism. In this paper, we take up this perspective, and ask what accepting both the open future and retro-closure predicts about omniscience. When we theorize about a perfect knower, we are theorizing about what an ideal agent ought to believe. Our contention is that there isn’t an acceptable view of ideally rational belief given the assumptions of the open future and retro-closure, and thus this casts doubt on the conjunction of those assumptions. (shrink)

This dissertation concerns dynamic semantics and the broader normative and epistemic consequences of theorizing with dynamic contents. Dynamic semantics deviates significantly from canonical approaches to meaning in that it treats the meanings of sentences as well as the contents of attitudes as context-change-potentials rather than propositions. While some of the consequences of this deviation have been recognized, several crucial consequences remain, heretofore, unexplained. In particular, I argue that dynamic theories not only differ from more traditional static theories with respect to (...) their preferred representational objects, but also with respect to how they must treat the normative statuses of these representational objects, their idealizing assumptions, and how content interfaces with choice and decision. In each case, I demonstrate how and why dynamic accounts differ and explore the consequences. In certain cases, I argue why these consequences ought to be embraced. In others, I provide solutions to the problems they pose. (shrink)

In Replacing Truth, Scharp takes the concept of truth to be fundamentally incoherent. As such, Scharp reckons it to be unsuited for systematic philosophical theorising and in need of replacement – at least for regions of thought and talk which permit liar sentences and their ilk to be formulated. This replacement methodology is radical because it not only recommends that the concept of truth be replaced, but that the word ‘true’ be replaced too. Only Tarski has attempted anything like it (...) before. I dub such a view Conceptual Marxism. In assessing this view, my goals are fourfold: to summarise the many components of Scharp’s theory of truth; to highlight what I take to be some of the excess baggage carried by the view; to assess whether, and to what extent, the extreme methodology on offer is at all called for; finally, to briefly propose a less radical replacement strategy for resolving the liar paradox. (shrink)

A survey of logical problems for the concept of omniscience.

Predicates are term-to-sentence devices, and operators are sentence-to-sentence devices. What Kaplan and Montague's Paradox of the Knower demonstrates is that necessity and other modalities cannot be treated as predicates, consistent with arithmetic; they must be treated as operators instead. Such is the current wisdom.A number of previous pieces have challenged such a view by showing that a predicative treatment of modalities neednot raise the Paradox of the Knower. This paper attempts to challenge the current wisdom in another way as well: (...) to show that mere appeal to modal operators in the sense of sentence-to-sentence devices is insufficient toescape the Paradox of the Knower. A family of systems is outlined in which closed formulae can encode other formulae and in which the diagonal lemma and Paradox of the Knower are thereby demonstrable for operators in this sense. (shrink)

The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?

Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an auxiliary recourse to (...) hierarchy. But the cost of hierarchy appears to be an abandonment of any notion of all truth or of omniscience. What the contradictions of the Knower seem to demand, then, is at least an abandonment of these. As noted in the introduction, the argument is complicated enough that one must be wary of dogmatic and precipitate conclusions. One may legitimately wonder whether some new response, or some variation on an old one, will yet offer a way out.Far too often, however, it is asked what has gone wrong with paradox rather than what paradox may have to teach us. What the Knower may have to teach us, I think, is that there really can be no coherent notion of all truth and really can be no coherent notion of omniscience. In its own way that conclusion is perhaps as humbling as is any traditional notion of God. (shrink)

It has previously been argued that Schopenhauer is a distinctive type of virtue ethicist (Hassan, 2019). The Aristotelian version of virtue ethics has traditionally been accused of being fundamentally egoistic insofar as the possession of virtues is beneficial to the possessor, and serve as the ultimate justification for obtaining them. Indeed, Schopenhauer himself makes a version of this complaint. In this chapter, I investigate whether Schopenhauer’s moral framework nevertheless suffers from this same objection of egoism in light of how he (...) conceives of the relationship between morality and ascetic 'salvation'. Drawing upon his published works and letters, I argue that Schopenhauer has the resources to avoid the objection. Because of his idiosyncratic metaphysics, I argue that Schopenhauer can also avoid the problem of self-effacement which may result from the way in which he avoids the egoism objection. The discussion thus intends to establish further nuance to Schopenhauer’s conception of virtue and its value. (shrink)

This Introduction has three sections, on "logical fatalism," "theological fatalism," and the problem of future contingents, respectively. In the first two sections, we focus on the crucial idea of "dependence" and the role it plays it fatalistic arguments. Arguably, the primary response to the problems of logical and theological fatalism invokes the claim that the relevant past truths or divine beliefs depend on what we do, and therefore needn't be held fixed when evaluating what we can do. We call the (...) sort of dependence needed for this response to be successful "dependence with a capital 'd'": Dependence. We consider different accounts of Dependence, especially the account implicit in the so-called "Ockhamist" response to the fatalistic arguments. Finally, we present the problem of future contingents: what could "ground" truths about the undetermined future? On the other hand, how could all such propositions fail to be true? (shrink)

Various philosophers have wanted to move from a (P.F.) “Strawsonian” understanding of the “practices of moral responsibility” to a non-skeptical result. I focus on a strategy moving from a “response-dependent” theory of responsibility. I aim to show that a key analogy associated with this strategy fails to support a compatibilist result. It seems clear that nothing could show that nothing we have been laughing at has really been funny. If “the funny” is similar to “the blameworthy”, then perhaps it would (...) follow that nothing could show that no one we have ever blamed has really been blameworthy. The comparison is interesting, but inconclusive: even if we grant that these properties are normatively similar, the latter has substantive empirical presuppositions, whereas the former does not. One important upshot: even if the standards operative in our practices cannot be mistaken, it could nevertheless be that no one has ever met these standards Ruling out this possibility seemingly requires re-engaging in all of the so-called "metaphysical" debates Strawsonians are keen to avoid. (shrink)

The iterated Prisoner’s Dilemma has become the standard model for the evolution of cooperative behavior within a community of egoistic agents, frequently cited for implications in both sociology and biology. Due primarily to the work of Axelrod (1980a, 198Ob, 1984, 1985), a strategy of tit for tat (TFT) has established a reputation as being particularly robust. Nowak and Sigmund (1992) have shown, however, that in a world of stochastic error or imperfect communication, it is not TFT that finally triumphs in (...) an ecological model based on population percentages (Axelrod and Hamilton 1981), but ‘generous tit for tat’ (GTFT), which repays cooperation with a probability of cooperation approaching 1 but forgives defection with a probability of l/3. In this paper, we consider a spatialized instantiation of the stochastic Prisoner’s Dilemma, using two-dimensional cellular automata (Wolfram, 1984, 1986; Gutowitz, 1990) to model the spatial dynamics of populations of competing strategies. The surprising result is that in the spatial model it is not GIFT but still more generous strategies that are favored. The optimal strategy within this spatial ecology appears to be a form of ‘bending over backwards’, which returns cooperation for defection with a probability of 2/3 - a rate twice as generous as GTFT. (shrink)

This paper focuses on Nietzsche’s claim that suffering is closely related to the realization of certain perfectionist values, such as artistic excellence. According to Bernard Reginster, creative achievement consists in overcoming suffering, and therefore, suffering is an essential ingredient of creative achievement. Because suffering forms an essential part of a valuable whole in this way, Reginster argues that we must in turn value suffering ‘for its own sake’. This paper argues that Reginster’s position is open to the following objection: from (...) the fact that suffering is an essential part of a valuable whole, it does not follow that suffering is itself valuable. Rather, by taking advantage of the principle of organic unities, it would have to form an essential part of a valuable whole in a particular way. The author considers two ways the principle might be attributed to Nietzsche’s views on suffering: first, as an ‘enabling condition’, in which suffering allows for a whole that outweighs its disvalue; and second, as ‘a contributor’, in which suffering positively contributes value to the whole. The paper explores how Nietzsche’s ethics turns out to be crucially informed by this conceptual distinction. (shrink)

Smith has argued that moral realism need not be threatened by apparent moral disagreement. One reason he gives is that moral debate has tended to elicit convergence in moral views. From here, he argues inductively that current disagreements will likely be resolved on the condition that each party is rational and fully informed. The best explanation for this phenomenon, Smith argues, is that there are mind-independent moral facts that humans are capable of knowing. In this paper, I seek to challenge (...) this argument—and more recent versions of it—by arguing that historical convergence in moral views may occur for various arational reasons. If such reasons possibly result in convergence—which Smith effectively concedes—then the moral realist would require an additional a posteriori argument to establish that convergence in moral views occurred for the right reasons. Hence, Smith-style arguments, as they stand, cannot be mobilised in support of moral realism. Rather, this investigation demonstrates the necessity of a genuine history of morality for any convergence claim in support of a meta-ethical view. (shrink)

I provide a manipulation-style argument against classical compatibilism—the claim that freedom to do otherwise is consistent with determinism. My question is simple: if Diana really gave Ernie free will, why isn't she worried that he won't use it precisely as she would like? Diana's non-nervousness, I argue, indicates Ernie's non-freedom. Arguably, the intuition that Ernie lacks freedom to do otherwise is stronger than the direct intuition that he is simply not responsible; this result highlights the importance of the denial of (...) the principle of alternative possibilities for compatibilist theories of responsibility. Along the way, I clarify the dialectical role and structure of “manipulation arguments”, and compare the manipulation argument I develop with the more familiar Consequence Argument. I contend that the two arguments are importantly mutually supporting and reinforcing. The result: classical compatibilists should be nervous—and if PAP is true, all compatibilists should be nervous. (shrink)

John Abbruzzese has recently attempted a defense of omniscience against a series of my attacks. This affords me a welcome occasion to clarify some of the arguments, to pursue some neglected subtleties, and to re-think some important complications. In the end, however, I must insist that at least three of four crucial arguments really do show an omniscient being to be impossible. Abbruzzese sometimes misunderstands the forms of the argument themselves, and quite generally misunderstands their force.

In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...) (ergodic) proof due to Furstenberg (Section 3). Furstenberg’s ergodic proof is striking because it utilizes intuitively foreign and infinitary resources to prove a finitary combinatorial result and does so in a perspicuous fashion. I claim that Furstenberg’s proof is explanatory in light of its clear expression of a crucial structural result, which provides the “reason why” Szemerédi’s theorem is true. This is, however, rather surprising: how can such intuitively different conceptual resources “get a grip on” the theorem to be proved? I account for this phenomenon by articulating a new construal of the content of a mathematical statement, which I call structural content (Section 4). I argue that the availability of structural content saves intuitive epistemic distinctions made in mathematical practice and simultaneously explicates the intervention of surprising and explanatorily rich conceptual resources. Structural content also disarms general arguments for thinking that impurity and explanatory power might come apart. Finally, I sketch a proposal that, once structural content is in hand, impure resources lead to explanatory proofs via suitably understood varieties of simplification and unification (Section 5). (shrink)

If $U$ is a normal ultrafilter on a measurable cardinal $\kappa$, then the intersection of the $\omega$ first iterated ultrapowers of the universe by $U$ is a Prikry generic extension of the $\omega$th iterated ultrapower.

The main goal in this paper is to outline and defend a form of Relativism, under which truth is absolute but assertibility is not. I dub such a view Norm-Relativism in contrast to the more familiar forms of Truth-Relativism. The key feature of this view is that just what norm of assertion, belief, and action is in play in some context is itself relative to a perspective. In slogan form: there is no fixed, single norm for assertion, belief, and action. (...) Upshot: 'knows' is neither context-sensitive nor perspectival. (shrink)

There is a longstanding argument that purports to show that divine foreknowledge is inconsistent with human freedom to do otherwise. Proponents of this argument, however, have for some time been met with the following reply: the argument posits what would have to be a mysterious non-causal constraint on freedom. In this paper, I argue that this objection is misguided – not because after all there can indeed be non-causal constraints on freedom (as in Pike, Fischer, and Hunt), but because the (...) success of the incompatibilist's argument does not require the real possibility of non-causal constraints on freedom. I contend that the incompatibilist's argument is best seen as showing that, given divine foreknowledge, something makes one unfree – and that this something is most plausibly identified, not with the foreknowledge itself, but with the causally deterministic factors that would have to be in place in order for there to be infallible foreknowledge in the first place. (shrink)

For an artificial agent to be morally praiseworthy, its rules for behaviour and the mechanisms for supplying those rules must not be supplied entirely by external humans. Such systems are a substantial departure from current technologies and theory, and are a low prospect. With foreseeable technologies, an artificial agent will carry zero responsibility for its behavior and humans will retain full responsibility.