Far from being unwelcome or impossible in a mathematical setting, indeterminacy in various forms can be seen as playing an important role in driving mathematical research forward by providing “sources of newness” in the sense of Hutter and Farías :434–449, 2017). I argue here that mathematical coincidences, phenomena recently under discussion in the philosophy of mathematics, are usefully seen as inducers of indeterminacy and as put to work in guiding mathematical research. I suggest that to call a pair of mathematical (...) facts a coincidence is roughly to suggest that the investigation of connections between these facts isn’t worthwhile. To say of this pair, “That’s no coincidence!” is to suggest just the opposite. I further argue that this perspective on mathematical coincidence, which pays special attention to what mathematical coincidences do, may provide us with a better view of what mathematical coincidences are than extant accounts. I close by reflecting on how understanding mathematical coincidences as generating indeterminacy accords with a conception of mathematical research as ultimately aiming to reduce indeterminacy and complexity to triviality as proposed in Rota Indiscrete thoughts, Birkhäuser, 1997). (shrink)

1. Consider the basic outlines of the mind-body debate as it is found in contemporary Anglo-American analytic philosophy. The central question is “whether mental phenomena are physical phenomena, and if not, how they relate to physical phenomena.”1 Over the centuries, a wide range of possible solutions to this problem have emerged. These are the various “isms” familiar to any student of the debate: Cartesian dualism, idealism, epiphenomenalism, central state materialism, non- reductive physicalism, anomalous monism, and so forth. Each purports to (...) specify, among other things, the metaphysical relationship between the mental and the physical. They do so by specifying whether, or in what way, mental entities are identical to, reducible to, realized by, supervenient upon, or in causal interaction with physical entities. Thus, a convenient way to survey the range of positions is to enter them in a table. Rows correspond to the major kinds of metaphysical relation which might obtain between mental and physical entities. Each columns corresponds to one of the generic positions available in the debate. The particular theories defended by individual philosophers are usually just specific versions of generic positions. Thus Malebranche’s occasionalism is a version of causal dualism, distinguished by a peculiar account of the way in which causal interaction between mental and physical is actually effected. The central philosophical challenge is to determine which of these positions correctly describes the mental/physical relationship. Positions are evaluated for internal consistency, their fit with “intuitions,” their compatibility with scientific developments, and so forth. The mind-body debate, in this simple form, is set out in any number of. (shrink)

Huw Price’s subject naturalism has emerged as a leading pragmatist position within recent debates surrounding philosophical naturalism. Unlike orthodox views which tend to be guided by metaphysical questions about the “place” of, for instance, the mind, meaning, and morality within the natural world, subject naturalism focuses philosophical attention on language-users and the functions that certain concepts play within discursive practices. This paper considers two objections to subject naturalism and argues that they can be overcome by looking to the methodological insights (...) of philosophical genealogy. Although Price occasionally characterizes his project as a kind of genealogy, he offers little explanation of what such a methodological orientation is supposed to involve. I suggest that subject naturalists ought to remedy this theoretical lacuna by looking to the work of Bernard Williams. On the one hand, doing so can serve a diagnostic function: Williams’ conception of genealogy affords a perspective from which subject naturalism’s explanatory inadequacies are more clearly understood. On the other hand, Williams’ elaborated conception of genealogy represents a path by which the subject naturalist can overcome the shortcomings discussed in this paper. (shrink)

Scientific realism is a critical target of anti-representationalists such as Richard Rorty and Huw Price, who have questioned the very possibility of providing a satisfactory argument for realism or any other ontological position. I will argue that there is a viable form of realism which not only withstands this criticism but is vindicated on the antirepresentationalists’ own grounds. This realist position, largely drawn from the notion of the scientific method developed by the founder of philosophical pragmatism, Charles S. Peirce, will (...) further be compared with the accounts of truth and objectivity proposed by the contemporary pragmatists, Rorty, Price, and Robert B. Brandom. (shrink)

In a recent paper, Richard Rorty begins by telling us why pragmatists such as himself are inclined to identify truth with justification: ‘Pragmatists think that if something makes no difference to practice, it should make no difference to philosophy. This conviction makes them suspicious of the distinction between justification and truth, for that distinction makes no difference to my decisions about what to do.’ (1995, p. 19) Rorty goes on to discuss the claim, defended by Crispin Wright, that truth is (...) a normative constraint on assertion. He argues that this claim runs foul of this principle of no difference without a practical difference: ‘The need to justify our beliefs to ourselves and our fellow agents subjects us to norms, and obedience to these norms produces a behavioural pattern that we must detect in others before confidently attributing beliefs to them. But there seems to be no occasion to look for obedience to an additional norm – the commandment to seek the truth. For – to return to the pragmatist doubt with which I began – obedience to that commandment will produce no behaviour not produced by the need to offer justification.’ (1995, p. 26) Again, then, Rorty appeals to the claim that a commitment to a norm of truth rather than a norm of justification makes no behavioural difference. This is an empirical claim, testable in principle by comparing the behaviour of a community of realists (in Rorty’s sense) to that of a community of pragmatists. In my view, the experiment would show that the claim is unjustified, indeed false. I think that there is an important and widespread behavioural pattern that depends on the fact that speakers do take themselves to be subject to such an additional norm. Moreover, it is a.. (shrink)

This paper discusses the relation between Crispin Wright’s alethic pluralism and my global expressivism. I argue that on many topics Wright’s own view counts as expressivism in my sense, but that truth itself is a striking exception. Unlike me, Wright never seems to countenance an expressivist account of truth, though the materials needed are available to him in his approaches to other topics.

The present paper challenges the narrow scientistic conception of Nature that underlies current projects of naturalization involving, say, evaluative or intentional discourse. It is more plausible to hold that science provides only a partial characterization of the natural world. I consider McDowell's articulation of a more liberal naturalism, one which recognizes autonomous normative facts about reasons, meanings and values, as genuine constituents of Nature on a more liberal conception of it. Several critics have claimed that this account is vitiated by (...) the threat of supernaturalism. Responsiveness to normative facts is, I argue, a phenomenological datum that we have good reason to take at face value. I trace the source of the supernaturalist objection to a misreading of McDowell's perceptual analogy with respect to value and a related failing to clearly distinguish physical and logical notions of an object. (shrink)

This article critically focuses on the methodological aspects of Scott Shapiro’s book Legality . Indeed Shapiro’s book sets out several original theses about not only the nature of law and the main problems of jurisprudence, but also about how the nature of law can be discovered by jurisprudence. In this sense, the method of inquiry adopted by Shapiro can be considered as one of the most challenging outcomes of his research. The article is divided into two parts. In the first (...) two sections I shall analyze Shapiro’s jurisprudential approach by focusing on its resort to metaphysical vocabulary, conceptual analysis, constructive reasoning, and institutional explanation of law. In the following sections I will consider some of the problems that this approach gives rise to, and outline an alternative view on the nature of law stimulated by the discussion of Shapiro’s work. (shrink)

Amidst the progress being made in the various (sub-)disciplines of the behavioural and brain sciences a somewhat neglected subject is the problem of how everything fits into one world and, derivatively, how the relation between different levels of discourse should be understood and to what extent different levels, domains, approaches, or disciplines are autonomous or dependent. In this paper I critically review the most recent proposals to specify the nature of interdiscourse relations, focusing on the concept of supervenience. Ideally supervenience (...) is a relation between different discourses which has all the advantages of reduction, but without its disadvantages. I apply the more abstract considerations to two concrete cases: schizophrenia and colour. Usually an interlevel or interdiscourse relation is seen as asymmetrical: the overlaying discourse depends on the underlying discourse (and not vice versa), where the out- or un-spoken assumption is that the ultimate underlying discourse is physical. Instead I argue that scientific categories referred to in interdiscourse relations are, ultimately, dependent on common sense categories and common sense normative criteria. It is the manifest categories and common sense ideas about what is reasonable and what is right that determine the relevant categorisations at the deeper, underlying levels. I suggest that the implications of this are not merely methodological or epistemological. (shrink)

Are there such things as moral truths? How do we know what we should do? And does it matter? Constructivism states that moral truths are neither invented nor discovered, but rather are constructed by rational agents in order to solve practical problems. While constructivism has become the focus of many philosophical debates in normative ethics, meta-ethics and action theory, its importance is still to be fully appreciated. These new essays written by leading scholars define and assess this new approach in (...) ethics, addressing such questions as the nature of constructivism, how constructivism improves our understanding of moral obligations, how it accounts for the development of normative practices, whether moral truths change over time, and many other topics. The volume will be valuable for advanced students and scholars of ethics and all who are interested in questions about the foundation of morality. (shrink)

When we think about what others believe and want, we are usually affected by what we know about their attitudes. If I’m aware that another person believes something, I have an opportunity to agree or disagree with it. If I think that another person wants something, I can endorse or disapprove of her desire. The importance of such reactions to attributed beliefs and desires has thus far been overlooked in philosophy of mind where the focus has been on explanatory and (...) predictive roles of attitude attribution. The primary goal of this thesis is to fill this lacuna and to articulate the indispensability of such reactions – agreement/disagreement and endorsement/disapproval – for social cognition. In the process of doing it I also show how these initial reactions ground certain further possible responses in intersubjective communication: manipulation, negotiation or adoption of attributed attitudes. The second aim of this thesis is to explicate what is it about belief and desire attributions that makes the responses I’ve described possible. Because one can agree or disagree both with beliefs and assertions and endorse or disapprove both desires and requests, I argue that we should understand belief attributions in terms of assertions and desire attributions in terms of requests. When we think what someone believes and wants, we treat her as a conversation partner because her attitudes call for the same responses as speech acts do, even if she hasn’t made any explicit assertion or request herself. In short, beliefs and desires have communicative significance. Given such significance, we can also see what one needs to take into consideration when attributing these attitudes to another. My answer in the thesis is that belief and desire attributions have to be grounded in facts about the behaviour and well-being of attributees and that these facts also constitute the nature of beliefs and desires. (shrink)

The thesis explores and suggests a solution to a problem that I identify in John McDowell’s and Lynne Rudder Baker’s approaches to mental and intention-dependent (ID) causation in the physical world. I begin (chapter 1) with a brief discussion of McDowell’s non-reductive and anti-scientistic account of mind and world, which I believe offers, through its vision of the unbounded conceptual and the world as within the space of reasons, to liberate and renew philosophy. However, I find an inconsistency in McDowell’s (...) criticism of Davidson’s anomalous monism (chapter 2), stemming from a tension between McDowell’s naïve common sense view of mental causation and an understanding of ordinary physical causation which I think McDowell ought to embrace, which portrays it as both objective, in the sense of being recognition- independent, and as belonging within the space of reasons. The question of the relation between these two concepts of causation is an aspect of the more general question of the relation between the space of reasons and the realm of law. In chapter 3 I begin examining the possibility that Baker’s account of material and property constitution could form the basis of a bridge between the two spaces, and find it generally promising. However, I find that her defence of her version of non-reductive monism against Kim’s causal arguments also runs into problems, which I attribute to the fact that she holds a view of causation as secondary to causal explanation. 2 3 In chapter 4 I develop an account of what I call manifest physical causation – of objective causal relations in the world of Sellars’s manifest image. Based upon McDowell’s transcendental empiricism, which takes the existence of the ordinary perceived world as a condition of the possibility of our possession of conceptual capacities, I contend that it is this picture of reality, rather than that of fundamental physics, that should be the starting point of our theorizing. Causation in the manifest image, I argue, covers the behaviour of the familiar physical world as well as that of its well-understood extensions into the special sciences and engineering. Manifest physical causation, on my account, is productive, acts through mechanisms which are almost entirely mechanical, electromagnetic, and/ or chemical, and is causally closed. In my view, normative, semantic, contentful property-instances are not part of the manifest physical causal nexus. In my final chapter I suggest a modification of Baker’s constitution account, which I call Constituted Causation, whereby higher-level – mental and other ID – causal relations are constituted, in favourable circumstances, by lower-level ones. ID causal relations belong in their own causal nexus but are connected to the manifest physical world through constitution, a relation of unity without identity. Causation and constitution are, respectively, intra- and inter-level relations, and they are non-overlapping. The constituted network of rational and normative relations bears, I believe, striking parallels with McDowell’s view of reality. According to Baker’s view of constitution, the essential properties of constituted entities subsume those of their constituters; extending this to my account enables us to say that the real cause and explanation of someone’s action is that they consciously performed it 4 rather than that certain manifest causal processes occurred at the lower level. (shrink)

In this paper I return to the mid-20th-century debate between Quine and Carnap on the status of metaphysics questions with an eye toward advancing contemporary debates about whether naturalists can coherently undertake substantive metaphysical inquiry. Following Huw Price, I take the debate between Quine and Carnap to hinge, in part, on whether human inquiry is functionally unified. However, unlike Price, I suggest that this question is not best understood as a question about the function(s) of descriptive discourse. This goes along (...) with rejecting a “linguistic conception” of the starting point of metaphysical inquiry, which, although shared by Quine and Carnap, Price gives us no good reason to think is mandatory for naturalists. I sketch two reasons naturalists have to reject a particular manifestation of this linguistic conception in Quine’s work—his criterion of ontological commitment. Finally, I show how these reasons can help us identify the grains of truth in some recent critiques of “mainstream metaphysics of mind.”. (shrink)

Usually, analytic philosophy is thought of as standing firmly within the tradition of empiricism, but recently attention has been drawn to the strongly Kantian features that have characterized this philosophical movement throughout a considerable part of its history. Those charting the history of early analytic philosophy sometimes point to a more Kantian stream of thought feeding it from both Frege and Wittgenstein, and as countering a quite different stream flowing from the early Russell and Moore. In line with this general (...) assessment, Michael Friedman has pointed to the specifically Kantian features of the approach of Carnap and other members of the Vienna Circle. For Friedman, the positivists should be seen as having emerged from the tradition of late nineteenth-century neo-Kantianism. Although they had explicitly rejected Kant’s analysis of geometric truth and his key concept of the “synthetic a priori” because of dramatic changes within science itself, this move should not be seen as any simple abandonment of Kantianism. Rather, the positivists had redefined the nature of the Kantian a priori, by axiomatizing, relativizing and historicizing it, so as to fit with the results of the contemporary sciences. (shrink)

Ontology is the study of what there is, what kinds of things make up reality. Ontology seems to be a very difficult, rather speculative discipline. However, it is trivial to conclude that there are properties, propositions and numbers, starting from only necessarily true or analytic premises. This gives rise to a puzzle about how hard ontological questions are, and relates to a puzzle about how important they are. And it produces the ontologyobjectivity dilemma: either (certain) ontological questions can be trivially (...) answered using only uncontroversial premises, or the uncertainties of ontology are really a threat to the truth of basically everything we say or believe. The main aim of this dissertation is to resolve these puzzles and to shed some light on the discipline of ontology. I defend a view inspired by Carnap’s internal-external distinction about what there is, but one according to which both internal and external questions are fully factual and meaningful. In particular, I argue that the trivial arguments are valid, but they do not answer any ontological questions. Furthermore, I propose an account of the function of our talk about properties, propositions and natural numbers. According to this account our talk about them has no ontological presuppositions for its literal and objective truth. This avoids the ontology-objectivity dilemma, and solves the puzzles about ontology. To do this I look at quantification and noun phrases in general, and at their relation to ontology. I argue that quantifiers are semantically underspecified in a certain respect, and play two different roles in communication. I discuss the relation between syntactic form and information structure, the function of certain non-referential, non-quantificational noun phrases, the uses of bare number determiners, and how arithmetic truths are learned and taught. The more metaphysical issues discussed include: inexpressible properties, logicism about arithmetic, nominalism, Carnap’s view about ontology, the problem of universals, the relationship between ontology and objectivity, different projects within ontology, non-existent.... (shrink)