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Armstrong, David (2004)
Publisher: Vrin
Languages: English
Types: Part of book or chapter of book
The object of this paper is to argue once again for the combinatorial account of possibility defended in earlier work (Armstrong, 1989, 1997). But there I failed fully to realise the dialectical advantages that accrue once one begins by assuming the hypothesis of logical atomism, the hypothesis that postulates simple particulars and simple universals (properties and relations) at the bottom of the world. Logical atomism is, I incline to think, no better than ‘speculative cosmology’ as opposed to ‘analytic ontology’, to use Donald Williams’ terminology (Williams, 1966, p.74). It is, however, not an implausible\ud hypothesis given the current state of quantum physics. More important for our purposes here, the strictly combinatorial theory that flows rather naturally from\ud the atomist metaphysics shows some promise of continuing to hold (perhaps with a little mutatis mutandis) in a world that is not an atomist world.
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    • Armstrong, D.M. 1989. A Combinatorial Theory of Possibility. Cambridge: Cambridge University Press.
    • ______________ 1997. A World of States of Affairs. Cambridge: Cambridge University Press.
    • Balashov, Yuri. (1999) 'Zero-value Physical Quantities'. Synthese, 119, pp. 253-286
    • Dipert, Randall. 1997. 'The Mathematical Structure of the World: The World as a Graph'. Journal of Philosophy, 94, 329-358.
    • Dorr, C. 2004. Non-symmetric Relations, in Oxford Studies in Metaphysics, vol. 1, ed. Dean Zimmerman, Clarendon Press: Oxford, 155-192.
    • 6 I thank Don Baxter, Tim Elder, and, especially, David Lewis for comments.
    • Ramsey, F.P. 1925. 'Universals'. Reprinted in F.P Ramsey, Philosophical Papers, ed. D.H. Mellor, Cambridge: Cambridge University Press, 1990, 8-33. Also reprinted in Properties, ed. D.H. Mellor & Alex Oliver, Oxford: Oxford University Press (Oxford Readings in Philosophy) 1997, 57-73.
    • Williams, Donald. 1953. 'The Elements of Being'. The Review of Metaphysics, 7, 3-18, 171-192. Reprinted in Principles of Empirical Realism, by Donald Williams, ed. Harry Ruja, Springfield, Illinois: Charles C Thomas, 1966, Ch.7.
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