Argues that the normative relation of commitment is routinely overlooked by philosophers, and that investigating it reveals some interesting similarities between the moral and rational domains.

Offers a conciliatory solution to one of the central contemporary debates in the theory of rationality, the debate about the proper formulation of rational requirements. Introduces a novel conception of the “symmetry problem” for wide scope rational requirements, and sketches a theory of rational commitment as a response.

Offers a conception of love and why it is meaningful.

Presents an analogue of the Preface Paradox for intention, and discusses possible implications for the philosophy of action.

An analysis and critique of irrationalist and romanticising threads in thinking about love.

The main goal of this paper is to explore the forcefulness of the adoption challenge to procreative parenting. After framing the challenge, I consider two of the most developed attempts to respond to it, due to Luara Ferracioli and Elizabeth Brake. I argue that neither strategy is a promising way to vindicate the permissibility of procreative parenting. I then present several reasons to value procreative parenting that are underappreciated in the recent literature. Though these considerations deserve more philosophical attention, I’m (...) agnostic about whether they are strong enough to overcome the adoption challenge. I explain why this agnosticism is reasonable, and the debate about permissibility arguably intractable, in the context of prevailing deontological assumptions structuring discussions of procreation. I conclude by arguing that an independently interesting metaethical thesis, which I call deontic fictionalism, may give us some perspective on this debate and others like it. (shrink)

This paper uses detailed art criticism to ground a distinctive take on debates about the interaction of moral and aesthetic value. Immoralists claim that moral flaws can make artworks aesthetically better than they would otherwise be. I argue that whether or not immoralism is true, immoralists have not provided compelling characterizations of strategies that might constitute this kind of “immoral artistry.” The main exception is found in the work of A. W. Eaton. I critique Eaton’s perspective by way of sustained (...) interpretive-philosophical discussion of The Wire and especially The Sopranos. The discussion has implications for value interaction debates, conceptualizations of the “rough hero” genre, theories of appropriate response to fictions, and more applied debates about the moral criticism of film and television. (shrink)

Offers a distinctive take on the motivation problem by way of an analysis of akrasia and the nature of rationality.

Offers an interpretation of Pedro Almodovar's masterpiece, arguing that viewers often mistakenly ignore the obsessiveness of Marco - its seemingly more well-adjusted protagonist - and that an analysis of Marco's development is key to appreciating the film's construction.

This essay begins to develop a philosophical interpretation of Elena Ferrante's L'amica geniale, a work of fiction that is known in English as The Neapolitan Novels. My ultimate aim is to explore the work's ambitious moral psychology, and particularly its subtle conceptualization of women's path to freedom. I begin by reconstructing some of the main ideas of Italian difference feminism as they are expressed in the texts of the Milan Women's Bookstore Collective—texts that are controversial milestones of Italian social theory, (...) yet are relatively unknown outside of Italy. I then show how these ideas provide a useful frame of reference for interpreters of Ferrante's novel. This discussion sets up a more extended analysis of the special status of Lila Cerullo, her strange condition of smarginatura, and the import of her puzzling earthquake speech. (shrink)

Questions concerning what hate speech is, how it harms, whether it is protected by free speech principles, and how it might be legally regulated have been at the centre of debates about free speech...

Part 1 of this essay began to develop a philosophical interpretation of The Neapolitan Novels by grounding a vision of the work's moral psychology in the tradition of Italian difference feminism, particularly as it is expressed in the texts of the influential Milan Women's Bookstore Collective. Part 2 advances the interpretive argument by presenting a more detailed literary analysis of the character of Lila Cerullo. After motivating the interest of various aspects of her symbolization by connecting them to important motifs (...) in feminist philosophy and literature, I present evidence of Lila's special status in the work, and the puzzles this status raises. I advance a reading of Lila as a brilliant woman capable of playing the superior role in a hierarchical relationship of entrustment—and of The Neapolitan Novels as a sympathetic yet critical exploration of the viability of such relationships and their connection to female friendship and female freedom. In support of this reading, I give an account of Lila's strange condition of smarginatura, the import of her perplexing earthquake speech in which this condition is explicitly addressed, and Elena Greco's troubling reactions. (shrink)

In this essay, we address an important problem in the ethics of cultural engagement: the problem of giving a systematic account of when and why outsider use of insider cultural material is permissible or impermissible. We argue that many scholars rely on a problematic notion of collective ownership even when they claim to be disavowing it. After making this case, we motivate an alternative framework for thinking about cultural exchange, which we call the core interests framework. We conclude with some (...) reflections on how this framework helps to raise interesting questions about the most promising accounts of wrongful cultural appropriation. (shrink)

Analyzes cinematic conventions of transparency, and offers an interpretation of Fight Club.

Review of Oxford Studies in Metaethics Vol. 6.

There are two kinds of time-bias: near-bias and future-bias. While philosophers typically hold that near-bias is rationally impermissible, many hold that future-bias is rationally permissible. Call this normative hybridism. According to arbitrariness objections, certain patterns of preference are rationally impermissible because they are arbitrary. While arbitrariness objections have been levelled against both near-bias and future-bias, the kind of arbitrariness in question has been different. In this paper we investigate whether there are forms of arbitrariness that are common to both kinds (...) of preferences, and hence whether there are versions of the arbitrariness objection that are objections both to near-bias and future-bias. If there are, then this might go some way towards undermining normative hybridism and to defending a thorough-going time-neutralism. (shrink)

Formal models of appearance and reality have proved fruitful for investigating structural properties of perceptual knowledge. This paper applies the same approach to epistemic justification. Our central goal is to give a simple account of The Preface, in which justified belief fails to agglomerate. Following recent work by a number of authors, we understand knowledge in terms of normality. An agent knows p iff p is true throughout all relevant normal worlds. To model The Preface, we appeal to the normality (...) of error. Sometimes, it is more normal for reality and appearance to diverge than to match. We show that this simple idea has dramatic consequences for the theory of knowledge and justification. Among other things, we argue that a proper treatment of The Preface requires a departure from the internalist idea that epistemic justification supervenes on the appearances and the widespread idea that one knows most when free from error. (shrink)

In this enlightening book, Sam Harris argues that free will is an illusion but that this truth should not undermine morality or diminish the importance of social and political freedom; indeed, this truth can and should change the way we think about some of the most important questions in life.

We investigate a novel use of the English temporal modifier ‘now’, in which it combines with a subordinate clause. We argue for a univocal treatment of the expression, on which the subordinating use is taken as basic and the non-subordinating uses are derived. We start by surveying central features of the latter uses which have been discussed in previous work, before introducing key observations regarding the subordinating use of ‘now’ and its relation to deictic and anaphoric uses. All of these (...) data, it is argued, can be accounted for on our proposed analysis. We conclude by comparing ‘now’ to a range of other expressions which exhibit similar behavior. (shrink)

Inquiry aims at knowledge. Your inquiry into a question succeeds just in case you come to know the answer. However, combined with a common picture on which misleading evidence can lead knowledge to be lost, this view threatens to recommend a novel form of dogmatism. At least in some cases, individuals who know the answer to a question appear required to avoid evidence bearing on it. In this paper, we’ll aim to do two things. First, we’ll present an argument for (...) this novel form of dogmatism and show that it presents a substantive challenge. Second, we’ll consider a way those who take knowledge to be the aim of inquiry can mount a response. In the course of doing so, we’ll try to get clearer on the normative connections between inquiry, knowledge and evidence gathering. (shrink)

Predictive processing accounts of neural function view the brain as a kind of prediction machine that forms models of its environment in order to anticipate the upcoming stream of sensory stimulation. These models are then continuously updated in light of incoming error signals. Predictive processing has offered a powerful new perspective on cognition, action, and perception. In this chapter we apply the insights from predictive processing to the study of emotions. The upshot is a picture of emotion as inseparable from (...) perception and cognition, and a key feature of the embodied mind. (shrink)

Philosophy and Phenomenological Research, Volume 104, Issue 1, Page 19-49, January 2022.

The distinction between perception and cognition frames countless debates in philosophy and cognitive science. But what, if anything, does this distinction actually amount to? In this introductory article, we summarize recent work on this question. We first briefly consider the possibility that a perception-cognition border should be eliminated from our scientific ontology, and then introduce and critically examine five positive approaches to marking a perception–cognition border, framed in terms of phenomenology, revisability, modularity, format, and stimulus-dependence.

In non‐literal uses of language, the content an utterance communicates differs from its literal truth conditions. Loose talk is one example of non‐literal language use (amongst many others). For example, what a loose utterance of (1) communicates differs from what it literally expresses: (1) Lena arrived at 9 o'clock. Loose talk is interesting (or so I will argue). It has certain distinctive features which raise important questions about the connection between literal and non‐literal language use. This paper aims to (i.) (...) introduce a range of novel data demonstrating certain overlooked features of loose talk, and (ii.) develop a new theory of the phenomenon which accounts for these data. In particular, this theory is motivated by the need to explain minimal pairs such as (2)-(3): (2) Lena arrived at 9 o'clock, but she did not arrive at 9 o'clock exactly. (3) ?? Lena did not arrive at 9 o'clock exactly, but she arrived at 9 o'clock. (2) and (3) agree in their truth conditions. Yet they differ in felicity. As such, they constitute a problem for any account which hopes to predict the acceptability of the loose use of a sentence from its truth conditions and the context of utterance alone. Instead, it will be argued, to explain loose talk phenomena we must posit an additional layer of meaning outstripping truth conditions. This layer of meaning is shown to exhibit a range of properties, all of which point to its being semantically encoded. Thus, if correct, the theory provides a new example of how semantic meaning must extend beyond literal, truth‐conditional content. (shrink)

Standard approaches to counterfactuals in the philosophy of explanation are geared toward causal explanation. We show how to extend the counterfactual theory of explanation to non-causal cases, involving extra-mathematical explanation: the explanation of physical facts by mathematical facts. Using a structural equation framework, we model impossible perturbations to mathematics and the resulting differences made to physical explananda in two important cases of extra-mathematical explanation. We address some objections to our approach.

The capacity to provide satisfactory nursing care is being increasingly compromised by current trajectories of healthcare funding and governance. The purpose of this paper is to examine how well Marxist theories of the state and its relationship with capital can explain these trajectories in this period of ever‐increasing austerity. Following a brief history of the current crisis, it examines empirically the effects of the crisis, and of the current trajectory of capitalism in general, upon the funding and organization of the (...) UK and US healthcare systems. The deleterious effect of growing income inequalities to the health of the population is also addressed. Marx's writings on the state and its relation to the capitalist class were fragmentary and historically and geographically specific. From them, we can extract three theoretical variants: the instrumentalist theory of the state, where the state has no autonomy from capital; the abdication theory, whereby capital abstains from direct political power and relies on the state to serve its interests; and the class‐balance theory, whereby the struggle between two opposed classes allows the state to assert itself. Discussion of modern Marxist interpretations includes Poulantzas's abdication theory and Miliband's instrumentalist theory. It is concluded that, despite the pluralism of electoral democracies, the bourgeoisie do have an overweening influence upon the state. The bourgeoisie's ownership of the means of production provides the foundation for its influence because the state is obliged to rely on it to manage the supply of goods and services and the creation of wealth. That power is further reinforced by the infiltration of the bourgeoisie into the organs of state. The level of influence has accelerated rapidly over recent decades. One of the consequences of this has been that healthcare systems have become rich pickings for the evermore confident bourgeoisie. (shrink)

Suppositional theories of conditionals take apparent similarities between supposition and conditionals as a starting point, appealing to features of the former to provide an account of the latter. This paper develops a novel form of suppositional theory, one which characterizes the relationship at the level of semantics rather than at the level of speech acts. In the course of doing so, it considers a range of novel data which shed additional light on how conditionals and supposition interact.

We develop a new version of the causal theory of spacetime. Whereas traditional versions of the theory seek to identify spatiotemporal relations with causal relations, the version we develop takes causal relations to be the grounds for spatiotemporal relations. Causation is thus distinct from, and more basic than, spacetime. We argue that this non-identity theory, suitably developed, avoids the challenges facing the traditional identity theory.

It is a noteworthy achievement of Western liberal democracies that they have largely relinquished the use of force against citizens whose lifestyles offend their members’ sensibilities, or alternatively which violate their members’ sense of truth. Toleration has become a central virtue in our public institutions. Powerful majorities are given over to restraint. They do not, by and large, expect the state to crush eccentrics, nonconformists, and other uncongenial minorities in their midst. What precipitated this remarkable evolution in our political culture?The (...) road to toleration originates in the debates provoked by religious dissent in the early modem period. This road was paved in part by a grudging appreciation of the necessity for pragmaticaccommodation. The wars of religion that had devastated the Continent educated the political classes about the costs of persecution. A policy of state-imposed religious intolerance was widely understood to be imprudent.In the early modem period there occurs, however, a shift in the arguments adduced in support of the duty of toleration. (shrink)

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds or exotic substitutes for (...) number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

I give a new argument for the moral difference between lying and misleading. First, following David Lewis, I hold that conventions of truthfulness and trust fix the meanings of our language. These conventions generate fair play obligations. Thus, to fail to conform to the conventions of truthfulness and trust is unfair. Second, I argue that the liar, but not the misleader, fails to conform to truthfulness. So the liar, but not the misleader, does something unfair. This account entails that bald-faced (...) lies are wrong, that we can lie nonlinguistically, and that linguistic innovation is morally significant. (shrink)

In an interesting experimental study, Bonini et al. (1999) present partial support for truth-gap theories of vagueness. We say this despite their claim to find theoretical and empirical reasons to dismiss gap theories and despite the fact that they favor an alternative, epistemic account, which they call ‘vagueness as ignorance’. We present yet more experimental evidence that supports gap theories, and argue for a semantic/pragmatic alternative that unifies the gappy supervaluationary approach together with its glutty relative, the subvaluationary approach.

Bestselling author Sam Harris dismantles the most common justification for religious faith-that a moral system cannot be based on science.

The curriculum design, faculty characteristics, and experience of implementing masters' level international research ethics training programs supported by the Fogarty International Center was investigated. Multiple pedagogical approaches were employed to adapt to the learning needs of the trainees. While no generally agreed set of core competencies exists for advanced research ethics training, more than 75% of the curricula examined included international issues in research ethics, responsible conduct of research, human rights, philosophical foundations of research ethics, and research regulation and ethical (...) review process. Common skills taught included critical thinking, research methodology and statistics, writing, and presentation proficiency. Curricula also addressed the cultural, social, and religious context of the trainees related to research ethics. Programs surveyed noted trainee interest in Western concepts of research ethics and the value of the transnational exchange of ideas. Similar faculty expertise profiles existed in all programs. Approximately 40% of faculty were female. Collaboration between faculty from low- and middleincome countries (LMICs) and high-income countries (HICs) occurred in most programs and at least 50% of HIC faculty had previous LMIC experience. This paper is part of a collection of papers analyzing the Fogarty International Research Ethics Education and Curriculum Development program. (shrink)

This paper refines a controversial proposal: that core systems belong to a perceptual kind, marked out by the format of its representational outputs. Following Susan Carey, this proposal has been understood in terms of core representations having an iconic format, like certain paradigmatically perceptual outputs. I argue that they don’t, but suggest that the proposal may be better formulated in terms of a broader analogue format type. Formulated in this way, the proposal accommodates the existence of genuine icons in perception, (...) and avoids otherwise troubling objections. (shrink)

There is a large literature exploring how accuracy constrains rational degrees of belief. This paper turns to the unexplored question of how accuracy constrains knowledge. We begin by introducing a simple hypothesis: increases in the accuracy of an agent’s evidence never lead to decreases in what the agent knows. We explore various precise formulations of this principle, consider arguments in its favour, and explain how it interacts with different conceptions of evidence and accuracy. As we show, the principle has some (...) noteworthy consequences for the wider theory of knowledge. First, it implies that an agent cannot be justified in believing a set of mutually inconsistent claims. Second, it implies the existence of a kind of epistemic blindspot: it is not possible to know that one’s evidence is misleading. (shrink)

This paper offers a new account of metaphysical explanation. The account is modelled on Kitcher’s unificationist approach to scientific explanation. We begin, in Sect. 2, by briefly introducing the notion of metaphysical explanation and outlining the target of analysis. After that, we introduce a unificationist account of metaphysical explanation before arguing that such an account is capable of capturing four core features of metaphysical explanations: irreflexivity, non-monotonicity, asymmetry and relevance. Since the unificationist theory of metaphysical explanation inherits irreflexivity and non-monotonicity (...) directly from the unificationist theory of scientific explanation that underwrites it, we focus on demonstrating how the account can secure asymmetry and relevance. (shrink)

The emphasis on evidence based medicine (EBM) has placed increased focus on finding timely answers to clinical questions in presence of patients. Using a combination of natural language processing for the generation of clinical excerpts and information theoretic distance based clustering, we evaluated multiple approaches for the efficient presentation of context-sensitive EBM excerpts.

It is often claimed that pre-attentive vision has an ‘iconic’ format. This is seen to explain pre-attentive vision's characteristically high processing capacity and to make sense of an overlap in the mechanisms of early vision and mental imagery. But what does the iconicity of pre-attentive vision amount to? This paper considers two prominent ways of characterising pre-attentive visual icons and argues that neither is adequate: one approach renders the claim ‘pre-attentive vision is iconic’ empirically false while the other obscures its (...) ability to do the explanatory work, which motivates positing pre-attentive visual icons in the first place. With this noted, I introduce the notion of an ‘Analogue Map’ and argue that it provides a superior characterisation of pre-attentive vision's iconicity. I then argue that this forces a reassessment of debates which have traditionally presupposed the iconicity of pre-attentive vision, emphasising ramifications for the viability of a format-based perception-thought border. (shrink)

Sam Harris dismantles the most common justification for religious faith--that a moral system cannot be based on science.

According to a number of approaches in theoretical physics, spacetime does not exist fundamentally. Rather, spacetime exists by depending on another, more fundamental, non-spatiotemporal structure. A prevalent opinion in the literature is that this dependence should not be analyzed in terms of composition. We should not say, that is, that spacetime depends on an ontology of non-spatiotemporal entities in virtue of having them as parts. But is that really right? On the contrary, we argue that a mereological approach to dependent (...) spacetime is not only viable, but promises to enhance our understanding of the physical situation. (shrink)

Jerry Fodor deemed informational encapsulation ‘the essence’ of a system’s modularity and argued that human perceptual processing comprises modular systems, thus construed. Nowadays, his conclusion is widely challenged. Often, this is because experimental work is seen to somehow demonstrate the cognitive penetrability of perceptual processing, where this is assumed to conflict with the informational encapsulation of perceptual systems. Here, I deny the conflict, proposing that cognitive penetration need not have any straightforward bearing on the conjecture that perceptual processing is composed (...) of nothing but informationally encapsulated modules, the conjecture that each and every perceptual computation is performed by an informationally encapsulated module, and the consequences perceptual encapsulation was traditionally expected to have for a perception-cognition border, the epistemology of perception and cognitive science. With these points in view, I propose that particularly plausible cases of cognitive penetration would actually seem to evince the encapsulation of perceptual systems rather than refute/problematize this conjecture. (shrink)

Call an explanation in which a non-mathematical fact is explained—in part or in whole—by mathematical facts: an extra-mathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this article, a theory of extra-mathematical explanation is developed. The theory is modelled on a deductive-nomological theory of scientific explanation. A basic DN account of extra-mathematical explanation is proposed and then redeveloped in the light of two difficulties that the basic theory faces. The final view (...) appeals to relevance logic and uses resources in information theory to understand the explanatory relationship between mathematical and physical facts. 1Introduction2Anchoring3The Basic Deductive-Mathematical Account4The Genuineness Problem5Irrelevance6Relevance and Information7Objections and Replies 7.1Against relevance logic7.2Too epistemic7.3Informational containment8Conclusion. (shrink)

Time is woven into the fabric of our lives. Everything we do, we do in and across time. It is not just that our lives are stretched out in time, from the moment of birth to the moment of our death. It is that our lives are stories. We make sense of ourselves, today, by understanding who we were yesterday, and the day before, and the day before that; by understanding what we did and why we did it. Our memories (...) shape our present selves, since we are the product of who we were, and who we remember being. Yet who we are lasts for but a moment. It is who we will be that demands attention. We are forever projecting ourselves into the future. We painstakingly plan for the needs of our future selves, all the while knowing that while what we do will make those future selves who they are, still, our future selves are elusive. So it is not simply that we happen to live our lives in time, the way, say, one might happen to live in Australia, or Singapore. It is hard to fathom how things could be otherwise. What would it be to live a life without time? Yet time itself is intangible. Though we are keenly aware of what has been ‒ of pain and loss, regret and pride ‒ and of what might be ‒ of anticipation, and dread, and longing ‒ time itself seems unaffected by anything we do. Though we can anticipate a future birthday cake, time itself cannot be tasted. Though we can dread a future dentist’s appointment, time itself cannot be touched. Though we remember the crunching of leaves this past autumn, time itself cannot be heard. How can it be that something so central to each of us, to who we are, and what we care about, can be so spectral? What, in the end, is time? Is time real, like a substance in which each of us, like insects in amber, finds ourselves trapped? Is time a dimension through which we can move? Is time not a thing at all, but some connection between events? If time is real, what is it like? Does it flow like a river, taking each of us prisoner in its current, washing us ever closer to the end of our lives? Is time like a cresting wave, coming ever closer to each of us from the future, engulfing us, and then receding into the past? Or is time static? Like a one-way road that each of us might wander, with no chance to turn back? Or perhaps time is like none of these things. Perhaps time is more like space; something we can navigate freely, so that we can visit different times just like we visit different places. Perhaps we can we travel in time the way we can travel in space. These questions, and many more, are the focus of this book. Now, you might wonder what philosophers are doing writing a book about time. Surely that’s a job for physicists! It is true: a great deal of what we know about time stems from our understanding of physics. However, even in physics we find that there are questions about time that go unanswered. Moreover, increasingly, physicists are turning to philosophers for help in understanding the role that time plays in current physical theories. Our goal is to get the reader up to speed on some of the central issues that influence our understanding of time so that they too may play a role in this ongoing discussion between science and philosophy. We hope that in doing so it will become clear what philosophy can bring to the study of time. There is a natural narrative in philosophy regarding the study of time, and we have chosen to organise this book according to that narrative. However, the book may also be approached in a ‘choose-your-own adventure’ spirit. While later chapters build on material introduced in earlier chapters, you can skip around, reading the book in any order you choose. For the instructor, this means that she can design her course around this book in any number of ways, depending on the particular topic she wishes to focus on. (shrink)

Taking their motivation from the perceived failure of the reductive physicalist project concerning consciousness, panpsychists ascribe subjectivity to fundamental material entities in order to account for macro-consciousness. But there exists an unresolved tension within the mainstream panpsychist position, the seriousness of which has yet to be appreciated. I capture this tension as a dilemma, and offer advice to panpsychists on how to resolve it. The dilemma is as follows: Panpsychists take the micro-material realm to feature phenomenal properties, plus micro-subjects to (...) whom these properties belong. However, it is impossible to explain the generation of a macro-subject (like one of us) in terms of the assembly of micro-subjects, for, as I show, subjects cannot combine. Therefore the panpsychist explanatory project is derailed by the insistence that the world’s ultimate material constituents are subjects of experience. The panpsychist faces a choice of giving up her explanatory ambitions, or of giving up the claim that the ultimates are subjects. I argue that the latter option is preferable, leading to neutral monism, on which phenomenal qualities are irreducible but subjects are reducible. So panpsychists should be neutral monists. (shrink)

The theoretical virtue of parsimony values the minimizing of theoretical commitments, but theoretical commitments come in two kinds : ontological and ideological. While the ontological commitments of a theory are the entities it posits, a theory’s ideological commitments are the primitive concepts it employs. Here, I show how we can extend the distinction between quantitative and qualitative parsimony, commonly drawn regarding ontological commitments, to the domain of ideological commitments. I then argue that qualitative ideological parsimony is a theoretical virtue. My (...) defense proceeds by demonstrating the merits of qualitative ideological parsimony and by showing how the qualitative conception of ideological parsimony undermines two notable arguments from ideological parsimony: David Lewis’ defense of modal realism and Ted Sider’s defense of mereological nihilism. (shrink)

ABSTRACT Our goal in this paper is to extend counterfactual accounts of scientific explanation to mathematics. Our focus, in particular, is on intra-mathematical explanations: explanations of one mathematical fact in terms of another. We offer a basic counterfactual theory of intra-mathematical explanations, before modelling the explanatory structure of a test case using counterfactual machinery. We finish by considering the application of counterpossibles to mathematical explanation, and explore a second test case along these lines.