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Supervenience
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The International Research library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.
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[1]
PHYSICALISM: ONTOLOGY, DETERMINATION, AND REDUCTION*
MATHEMATICAL physics, as the most basic and comprehensive of the sciences, occupies a special position with respect to the over-all scientific framework. In its loosest sense, physicalism is a recognition of this special position. Traditionally, physicalism has taken the form of reductionismâroughly, that all scientific terms can be given explicit definitions in physical terms.1 Of late there has been a growing awareness, however, that reductionism is an unreasonably strong claim.2 Along with this has come recognition that reductionism is to be distinguished from a purely ontological thesis concerning the sorts of entities of which the world is constituted. This separation is important : even if physical reductionism is unwarranted, what may be called âemergenceâ of higher-order phenomena is allowed for without departing from the physical ontology. (In particular, anti-reductionist arguments are seen as lending no support whatever to Cartesian dualism as an ontological claim.) Moreover, there has been a tendency to suppose that reduction of terminology entails reduction of ontology, but this is mistaken. It is thus necessary to consider just how to state a reasonably precise physicalist ontological position. This is the burden of part I.
Although a purely ontological thesis is a necessary component of physicalism, it is insufficient in that it makes no appeal to the power of physical law. In part ii, we seek to develop principles of physical determination that spell out rather precisely the underlying physicalist intuition that the physical facts determine all the facts. The goal is then to show that these principles do not imply physical reductionism. The main task here is to avoid the effects of the well-known definability theorem of Beth, to which end a natural solution is proposed.
Physicalism, so construed, consists in two sorts of principles, one ontological, the other the principles of physical determination, together compatible with the falsity of reductionism. Yet physicalism without reductionism does not rule out endless lawful connections between higher-level and basic physical sciences.3 Both ontological and determinationist principles have the character of higher-order empirical hypotheses and are not immune from revision. Nor are they intended as final claims, for it is recognized that physical science is a changing and growing body of theory. Nevertheless, these sorts of principles can be adopted at various stages of development to assert the tentative adequacy of a physical basis for ontology and determination.
I
1. Ontology and Reduction. Presystematically, the physicalist ontological position is simply put: âEverything is physical.â However, unless âphysicalâ is spelled out, the claim is hopelessly vague. Yet, as soon as the attempt is made to identify âis physicalâ with satisfaction of any predicate on some list of clearly physical predicates (drawn, say, from standard physics texts) it is discovered that the simple formula, (âx) (x satisfies some predicate on the list), fails of its purpose. Unless closure of the list under some fairly complex operations were specified, predicates of ordinary macroscopic objects would not appear, and the claim would be trivially false. Indeed, one seems already forced into the reductionist position of definingâat least in the sense of finding extensional equivalents forâall predicates in terms of the basic list. What started as a bald ontological assertion seems to involve dubious claims as to the defining power of a language. When it is contemplated, moreover, that, no matter how sophisticated the list and the âdefining machineryâ, there are bound to be entities composed of ârandomly selectedâ parts of other entities which elude description in the physical language, then it is evident that something is wrong with this whole approach.
There is another approach. As a preliminary, it should be stated here that no sharp distinction between physics and mathematics is being presupposed. Since we are interested in physicalism vis-Ă -vis the mind-body problem and the relations among the sciences, we do not wish any physicalist theses that we formulate to turn on views concerning abstract entities. For the purposes of this discussion we will assume an object language L containing a stock of mathematical-physical predicates, including those which might be drawn from texts concerning elementary particles, field theory, space-time physics, etc.4 as well as identity, the part-whole relation, â<â, of the calculus of individuals, and a full stock of mathematical predicates (which, for convenience we may suppose are built up within set theory from âÉâ). The metalanguage in which we work includes L [and enough to express the (referential) semantics of L]. Henceforth, we shall use âphysicsâ to mean âphysics plus mathematicsâ and shall speak indifferently of âphysicalâ or âmathematical-physicalâ predicates.
Now a thesis that qualifies as ontological physicalism not involving any appeal to the defining power of L (or any language) asserts, roughly, that everything is exhaustedâin a sense to be explainedâbymathematical-physical entities, where these are specified as anything satisfying any predicate in a list of basic positive physical predicates of L. Such a list might include, e.g., â____ is a neutrinoâ, â ___ is an electromagnetic fieldâ, â____ is a four-dimensional manifoldâ, â____ and ____ are related by a force obeying the equations [Einsteinâs, say] listedâ, etc. There are no doubt many ways of developing such a list, depending on how physical theory is formulated. The fundamental requirement for a basic positive physical predicate at a place is that satisfaction of it at that place constitutes a sufficient condition for being a physical entity, clearly enough to be granted by physicalists and nonphysicalists alike.5 Clearly, negations of primitive predicates of physics do not qualify; hence we say âpositiveâ physical predicates. However, it is clear that certain predicates, even primitives, do not meet the fundamental requirement just stated at any place. For example, to include â=â in the list would beg the question: any nonphysicalist will agree that everything is exhausted by all the entities in the extension of this predicate! The same goes for the part-whole relation â<â, and for set membership âÉâ, since what are regarded as among the relata of these predicates depends quite directly on oneâs ontological position. Finally, we must exclude predicates of location of the form âis at space-time point pâ, since it would be question-begging to say that merely having location is sufficient for being a physical object.
Assume, then, that requisite exclusions of this kind have been made and we have a list, Î, of basic positive physical predicates with the concrete places specified. In terms of Î we now sketch a physicalist ontology. Since âÉâ is not in Î, special provision must be made for mathematical entities. The alternative we favor consists in an iterative set-theoretic hierarchy built on a ground level of concrete physical entities (plus the null set). Since the mathematical objects required by physical science can be developed within set theory, we may concentrate on the members of Î at their concrete places (where they apply only to objects in space-time). Thus stipulating that

we may apply notions of the calculus of individuals6 to objects x such that V[Î](x). In particular, where Î is any set of predicates, it is assumed there is a unique individual that exhausts all objects satisfying V[Î], that is,

where â<â is the part-whole relation of the calculus of individuals, here understood as âspatiotemporal part.â We designate this individual F(Î). The hierarchy is defined thus:

These are just like the ranks, def...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Acknowledgements
- Series Preface
- Introduction
- 1 Geoffrey Paul Heilman and Frank Wilson Thompson (1975), Thysicalism: Ontology, Determination, and Reductionâ, Journal of Philosophy, 72, pp. 551â64
- 2 Simon Blackburn (1985), âSupervenience Revisitedâ, in Ian Hacking (ed.), Exercises in Analysis, Cambridge: Cambridge University Press, pp. 47â67
- 3 Jaegwon Kim (1984), âConcepts of Supervenienceâ, in Jaegwon Kim, Supervenience and Mind, Cambridge: Cambridge University Press, pp. 53â78
- 4 Jaegwon Kim (1993), âSupervenience for Multiple Domainsâ, in Jaegwon Kim, Supervenience and Mind, Cambridge: Cambridge University Press, pp. 109â30
- 5 Jaegwon Kim (1993), âPostscripts on Supervenienceâ, in Jaegwon Kim, Supervenience and Mind, Cambridge: Cambridge University Press, pp. 161â71
- 6 Terence Horgan (1982), âSupervenience and Microphysicsâ, Pacific Philosophical Quarterly, 63, pp. 29â443
- 7 Terence Horgan (1993), âFrom Supervenience to Superdupervenience: Meeting the Demands of a Material Worldâ, Mind, 102, pp. 555â86
- 8 Brian P. McLaughlin (1995), âVarieties of Supervenienceâ, in Elias E. Savellos and Ămit D. Yalçin (eds), Supervenience: New Essays, Cambridge: Cambridge University Press, pp. 16â59
- 9 Robert Stalnaker (1996), âVarieties of Supervenienceâ, Philosophical Perspectives, 10, pp. 221â41
- 10 James C. Klagge (1988), âSupervenience: Ontological and Ascriptiveâ, Australasian Journal of Philosophy, 66, pp. 441â70
- 11 John F. Post (1995), ââGlobalâ Supervenient Determination: Too Permissive?â, in Elias E. Savellos and Ămit D. Yalçin (eds), Supervenience: New Essays, Cambridge: Cambridge University Press, pp. 73â100
- 12 R. Cranston Pauli and Theodore R. Sider (1992), âIn Defense of Global Supervenienceâ, Philosophy and Phenomenological Research, 52, pp. 833â54
- 13 John Bacon (1986), âSupervenience, Necessary Coextension, and Reducibilityâ, Philosophical Studies, 49, pp. 163â76
- 14 James Van Cleve (1990), âSupervenience and Closureâ, Philosophical Studies, 58, pp. 225â38
- 15 Thomas R. Grimes (1988), âThe Myth of Supervenienceâ, Pacific Philosophical Quarterly, 69, pp. 152â60
- 16 David Lewis (1986), âHumean Supervenienceâ, Introduction to: Philosophical Papers II, New York and Oxford: Oxford University Press, pp. ix, para. 3 â xvi line 8
- 17 Barry Loewer (1995), âAn Argument for Strong Supervenienceâ, in Elias E. Savellos and Ămit D. Yalçin (eds), Supervenience: New Essays, Cambridge: Cambridge University Press, pp. 218â25
- 18 David Papineau (1995), âArguments for Supervenience and Physical Realizationâ, in Elias E. Savellos and Ămit D. Yalçin (eds), Supervenience: New Essays, Cambridge: Cambridge University Press, pp. 226â43
- 19 Trenton Merricks (1998), âAgainst the Doctrine of Microphysical Supervenienceâ, Mind, 107, pp. 59â71
- 20 Nick Zangwill (1995), âMoral Supervenienceâ, Midwest Studies in Philosophy, 20, pp. 240â622
- 21 Gregory Currie (1990), âSupervenience, Essentialism and Aesthetic Propertiesâ, Philosophical Studies, 58, pp. 243â57
- Name Index