References
Armstrong, D.M. (1991): “Classes are states of affairs”, Mind 100, pp. 189–200.
Armstrong, D.M. (1995): “Reply to Rosen”, Australasian Journal of Philosophy 73, pp. 626–628.
Barwise and Etchemendy (1987): The Liar: An Essay on Truth and Circularity, New York: Oxford University Press.
Bhaskar, R. (1975): A Realist Theory of Science, Leeds, UK: Leeds Books.
Bigelow, J.C. (1988): The Reality of Numbers, Oxford, UK: Clarendon.
Bigelow, J.C. (1990): “Sets are universals”, in A.D. Irvine (ed.), Physicalism in Mathematics.
Bigelow, J.C. (1993): “Sets are haecceities”, in J. Bacon, K. Campbell and L. Reinhardt (eds.), Ontology, Causality and Mind: Essays in Honor of D.M. Armstrong, Cambridge, UK: Cambridge University Press.
Bigelow, J.C. (1994): “Van Inwagen's new clothes: critical notice of van Inwagen's Material Beings”, Dialogue 33, pp. 297–304.
Bigelow, J.C. and Pargetter, R.J. (1990): Science and Necessity, Cambridge, UK: Cambridge University Press.
Boolos, G.S. (1975): “On second-order logic”, Journal of Philosophy 72, pp. 509–527.
Boolos, G.S. (1984): “To be is to be the value of a variable (or to be some values of some variables)”, Journal of Philosophy 81, pp. 430–449.
Boolos, G.S. (1985): “Nominalistic Platonism”, The Philosophical Review 94, pp. 327–344.
Cartwright, N. (1983): How the Laws of Physics Lie, Oxford, UK: Clarendon.
Cartwright, N. (1989): Natzere's Capacities and their Measurement, Oxford, UK: Clarendon.
Cresswell, M.J. (1968): Logics and Languages, London UK: Methuen.
Cresswell, M.J. (1990): Entities and Indices, Dordrecht, Boston and London, UK: Kluwer Academic Publishers.
Cresswell, M.J. (1996): Semantic Indexicality, Dordrecht, Boston and London UK: Kluwer Academic Publishers.
Forrest, P. and Armstrong, D.M. (1987): “The nature of number”, Philosophical Papers 16, pp. 165–186.
Grandy, R.E. (1977): Advanced Logic for Applications, Dordrecht: Reidel.
Grim, P. (1991): The Incomplete Universe: Totality, Knowledge and Truth, Cambridge, MA and London, UK: MIT Press.
Halmos, P.R. (1960): Naive Set Theory, London and New York: Van Nostrand.
Hazen, A. (1996): “Worlds as complete novels”, Analysis 56, pp. 33–38.
Leckey, M. and Bigelow, J. (1995): “Laws as natural entailments”, in F. Weinert (ed.), Laws of Nature: Essays on the Philosophical, Scientific and Historical Dimensions, Berlin and New York: Walter de Gruyter.
Leonard, H. and Goodman, N. (1940): “The calculus of individuals and its uses”, Journal of Symbolic Logic 12, pp. 45–55.
Levine, M. (1994): Pantheissn: A Non-Theistic Concept of Deity, London and New York: Routledge.
Lewis, D.K. (1986): On the Plurality of Worlds, Oxford, UK: Blackwell.
Lewis, D.K. (1991): Parts of Classes, Oxford, UK and Cambridge, MA: Blackwell.
Lewis, D.K. (1993): “Mathematics is megethology”, Philosophia Mathentanca 1, pp. 3–23.
Morton, A. (1975): “Complex individuals and multigrade relations”, Nous 9, pp. 309–318.
Oliver, A. (1992): “The metaphysics of singletons”, Mind 101, pp. 129–140.
Quine, W.V. (1966): “The scope and language of science”, reprinted in The Ways of Paradox, New York: Random House, esp. p. 232.
Richards, T. (1975): “The worlds of David Lewis”, Australasian Journal of Philosophy 53, pp. 613–625.
Rosen, G. (1995): “Armstrong on classes as states of affairs”, Australasian Journal of Philosophy 73, pp. 613–625.
van Fraassen, B. (1995): “‘World’ is not a count noun”, Nous 29, pp. 139–157.
van Inwagen, P. (1990): Material Beings, Ithaca, New York: Cornell University Press.
Whitehead, A.N. (1929): Process and Reality: An Essay in Cosmology, Cambridge, UK: Cambridge University Press.
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Bigelow, J. God and the new math. Philosophical Studies 84, 127–154 (1996). https://doi.org/10.1007/BF00354484
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DOI: https://doi.org/10.1007/BF00354484