Abstract
According to the standard opinions in the literature, blocking the unacceptable consequences of the notorious slingshot argument requires imposing constraints on the metaphysics of facts or on theories of definite descriptions (or class abstracts). This paper argues that both of these well-known strategies to rebut the slingshot overshoot the mark. The slingshot, first and foremost, raises the question as to the adequate logical formalization of statements about facts, i.e. of factual contexts. It will be shown that a rigorous application of Quine’s maxim of shallow analysis to formalizations of factual contexts paves the way for an account of formalizing such contexts which blocks the slingshot without ramifications for theories of facts or definite descriptions.
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References
Anscombe, G. E. M. (1969). Causality and extensionality. Journal of Philosophy, 66, 152–159.
Barwise, J., & Perry, J. (1996). Semantic innocence and uncompromising situations. In A. P. Martinich (Ed.), The philosophy of language (pp. 369–381). Oxford: Oxford University Press (originally published 1975 in Midwest Studies in Philosophy).
Baumgartner, M. (forthcoming). Informal reasoning and logical formalization. In S. Conrad & S. Imhof (Eds.), Ding und Begriff. Frankfurt a.M.: Ontos.
Baumgartner, M., & Lampert, T. (2008). Adequate formalization. Synthese, 164, 93–115.
Bennett, J. (1988). Events and their names. Indianapolis: Hackett.
Bernays, P. (1958). Axiomatic set theory. Amsterdam: North-Holland.
Blau, U. (1977). Die dreiwertige Logik der Sprache. Berlin: de Gruyter.
Brandl, J. (1991). Some remarks on the “slingshot” argument. In G. Dorn & G. Schurz (Eds.), Advances of scientific philosophy (pp. 421–437). Amsterdam: Rodopi.
Brun, G. (2004). Die richtige Formel. Philosophische Probleme der logischen Formalisierung. Frankfurt a.M.: Ontos.
Carnap, R. (1947). Meaning and necessity. Chicago: University of Chicago Press.
Church, A. (1943). Review of Carnap’s Introduction to semantics. Philosophical Review, 52, 298–304.
Cummins, R., & Gottlieb, D. (1972). On an argument for truth-functionality. American Philosophical Quarterly, 9, 265–269.
Davidson, D. (1980). Essays on actions and events. Oxford: Clarendon.
Drai, D. (2002). The slingshot argument: An improved version. Ratio, 15, 194–204.
Epstein, R. L. (1990). The semantic foundations of logic: Propositional logic. Dordrecht: Kluwer.
Epstein, R. L. (1994). The semantic foundations of logic: Predicate logic. Oxford: Oxford University Press.
Etchemendy, J. (1990). The concept of logical consequence. Cambridge: Harvard University Press.
Frege, G. (1892/1984). On sense and meaning. In B. McGuinness (Ed.), Collected papers on mathematics, logic, and philosophy. Oxford: Basil Blackwell.
Gödel, K. (1944). Russell’s mathematical logic. In P. A. Schilpp (Ed.), The philosophy of Betrand Russell (pp. 123–153). New York: Tudor.
Haack, R. J. (1978). Quine’s theory of logic. Erkenntnis, 13, 231–259.
Hodges, W. (2001). Elementary predicate logic. In D. M. Gabbay & F. Guenthner (Eds.), Handbook of philosophical logic (2nd Ed., Vol. 1, pp. 1–130). Dordrecht: Kluwer Academic.
Iacona, A. (2004). Modal predicates. Australasian Journal of Logic, 2, 56–69.
Koons, R. C. (2000). Realism regained. An exact theory of causation, teleology, and the mind. Oxford: Oxford University Press.
Lampert, T., & Baumgartner, M. (2010). The problem of validity proofs. Grazer Philosophische Studien, 80, 79–109.
Mellor, D. H. (1991). The singularity affecting facts of causation. In Matters of metaphysics (pp. 201–224). Cambridge: Cambridge University Press.
Mellor, D. H. (1995). The facts of causation. London: Routledge.
Neale, S. (1990). Descriptions. Cambridge: MIT Press.
Neale, S. (1995). The philosophical significance of Gödel’s slingshot. Mind, 104, 761–825.
Neale, S. (2001). Facing facts. Oxford: Clarendon.
Oliver, J. W. (1967). Formal fallacies and other invalid arguments. Mind, 76, 463–478.
Quine, W. v. O. (1953/1975). Three grades of modal involvement. In The ways of paradox (pp. 158–176). Cambridge: Harvard University Press.
Quine, W. v. O. (1960). Word and object. Cambridge: MIT Press.
Quine, W. v. O. (1982). Methods of logic, 4th Ed. Cambridge: Harvard University Press.
Russell, B. (1905). On denoting. Mind, 14, 479–493.
Russell, B. (1977). The philosophy of logical atomism. In R. Marsh (Ed.), Logic and knowledge (pp. 175–281). New York: Allen & Unwin.
Sainsbury, M. (2001). Logical forms. An introduction to philosophical logic, 2nd Ed. Malden, MA: Blackwell.
Sobel, J. H. (2008). Collapsing arguments for facts and propositions. Australasian Journal of Logic, 6, 122–161.
Whitehead, A. N., & Russell, B. (1910). Principia mathematica. Cambridge: Cambridge University Press.
Williamson, J. (1976). Facts and truth. The Philosophical Quarterly, 26, 203–216.
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Baumgartner, M. Shallow Analysis and the Slingshot Argument. J Philos Logic 39, 531–556 (2010). https://doi.org/10.1007/s10992-010-9131-9
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DOI: https://doi.org/10.1007/s10992-010-9131-9