The Significance Argument (SA) for the irreducibility of consciousness is based on a series of new puzzle-cases that I call multiple candidate cases. In these cases, there is a multiplicity of physical-functional properties or relations that are candidates to be identified with the sensible qualities and our consciousness of them, where those candidates are not significantly different. I will argue that these cases show that reductive materialists cannot accommodate the various ways in which consciousness is significant and must allow massive (...) vagueness in conscious experience. I also will argue that a nonreductive theory of the conscious-of relation can easily provide a very satisfying, unified explanation of the ways in which this relation is significant. (shrink)

This paper examines "moderate modal skepticism", a form of skepticism about metaphysical modality defended by Peter van Inwagen in order to blunt the force of certain modal arguments in the philosophy of religion. Van Inwagen’s argument for moderate modal skepticism assumes Yablo's (1993) influential world-based epistemology of possibility. We raise two problems for this epistemology of possibility, which undermine van Inwagen's argument. We then consider how one might motivate moderate modal skepticism by relying on a different epistemology of possibility, which (...) does not face these problems: Williamson’s (2007: ch. 5) counterfactual-based epistemology. Two ways of motivating moderate modal skepticism within that framework are found unpromising. Nevertheless, we also find a way of vindicating an epistemological thesis that, while weaker than moderate modal skepticism, is strong enough to support the methodological moral van Inwagen wishes to draw. (shrink)

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

Fictionalists maintain that possible worlds, numbers or composite objects exist only according to theories which are useful but false. Hale, Divers and Woodward have provided arguments which threaten to show that fictionalists must be prepared to regard the theories in question as contingently, rather than necessarily, false. If warranted, this conclusion would significantly limit the appeal of the fictionalist strategy rendering it unavailable to anyone antecedently convinced that mathematics and metaphysics concern non-contingent matters. I try to show that their arguments (...) can be resisted by developing and defending a strategy suggested by Rosen, Nolan and Dorr, according to which the fiction-operator is to be analysed in terms of a counterfactual that admits of non-trival truth-values even when the antecedent is impossible. (shrink)

There’s the question of what there is, and then there’s the question of what ultimately exists. Many contend that, once we have this distinction clearly in mind, we can see that there is no sensible debate to be had about whether there are such things as properties or tables or numbers, and that the only ontological question worth debating is whether such things are ultimate (in one or another sense). I argue that this is a mistake. Taking debates about ordinary (...) objects as a case study, I show that the arguments that animate these debates bear directly on the question of which objects there are and cannot plausibly be recast as arguments about what’s ultimate. I then address the objection that, because they are easy answerable, questions about what there is cannot be a proper subject of ontological debate. (shrink)

Unlike identity physicalism, ground physicalism does not achieve the physicalist dream. It faces the T-shirt problem for ground physicalism (Pautz 2014; Schaffer this volume; Rubenstein ms). In the case of insentient nature, it may be able to get by with small handful of very general ground laws to explain the emergence of nonfundamental objects and properties – for example, a few “principle of plenitude”. But I argue that for the case consciousness it will require a separate huge raft of special, (...) anomalous psychophysical ground laws. So it is just as complex and nonuniform as dualism. (shrink)

Unlike identity physicalism, ground physicalism does not achieve the physicalist dream. It faces the T-shirt problem for ground physicalism (Pautz 2014; Schaffer this volume; Rubenstein ms). In the case of insentient nature, it may be able to get by with small handful of very general ground laws to explain the emergence of nonfundamental objects and properties – for example, a few “principle of plenitude”. But I argue that for the case consciousness it will require a separate huge raft of special, (...) anomalous psychophysical ground laws. So it is just as complex and nonuniform as dualism. (shrink)

Mathematical fictionalism (or as I'll call it, fictionalism) is best thought of as a reaction to mathematical platonism. Platonism is the view that (a) there exist abstract mathematical objects (i.e., nonspatiotemporal mathematical objects), and (b) our mathematical sentences and theories provide true descriptions of such objects. So, for instance, on the platonist view, the sentence ‘3 is prime’ provides a straightforward description of a certain object—namely, the number 3—in much the same way that the sentence ‘Mars is red’ provides a (...) description of Mars. But whereas Mars is a physical object, the number 3 is (according to platonism) an abstract object. And abstract objects, platonists tell us, are wholly nonphysical, nonmental, nonspatial, nontemporal, and noncausal. Thus, on this view, the number 3 exists independently of us and our thinking, but it does not exist in space or time, it is not a physical or mental object, and it does not enter into causal relations with other objects. This view has been endorsed by Plato, Frege (1884, 1893-1903, 1919), Gödel (1964), and in some of their writings, Russell (1912) and Quine (1948, 1951), not to mention numerous more recent philosophers of mathematics, e.g., Putnam (1971), Parsons (1971), Steiner (1975), Resnik (1997), Shapiro (1997), Hale (1987), Wright (1983), Katz (1998), Zalta (1988), and Colyvan (2001). (shrink)