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2 - Could logic be empirical? The Putnam-Kripke debate

Published online by Cambridge University Press:  05 June 2016

Allen Stairs
Affiliation:
University of Maryland
Jennifer Chubb
Affiliation:
University of San Francisco
Ali Eskandarian
Affiliation:
George Washington University, Washington DC
Valentina Harizanov
Affiliation:
George Washington University, Washington DC
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Summary

Abstract. Not long after Hilary Putnam published “Is Logic Empirical,” Saul Kripke presented a critique of Putnam's argument in a lecture at the University of Pittsburgh. Kripke criticized both the substance of Putnam's version of quantum logic and the idea that one could “adopt” a logic for empirical reasons. This paper reviews the debate between Putnam and Kripke. It suggests the possibility of a “middle way” between Putnam and Kripke: a way in which logic could be broadly a priori but in which empirical considerations could still bear on our views about the logical structure of the world. In particular, considerations drawn from quantum mechanics might provide an example.

Some years ago, Hilary Putnam published a paper called “Is Logic Empirical?” [7] in which he argued that quantum mechanics provides an empirical case for revising our views about logic. (The paper was republished in his collected works as “The Logic of Quantum Mechanics”. Page references will be to the reprinted version.) In 1974, Saul Kripke presented a talk at the University of Pittsburgh called “The Question of Logic,” offering a detailed rebuttal of Putnam's case. As of this writing, almost 40 years later, Kripke's paper still hasn't appeared in print and apart from my 1978 dissertation and a paper I published 28 years later [9], very little has been written on the disagreement between Putnam and Kripke. This is unfortunate; the issues are well worth investigating. In my 2006 paper [9], I adopted the device of writing about Paul Kriske and Prof. Tupman out of deference to the fact that there is no published version of Kripke's talk. Here I'll simply write directly about Putnam and Kripke. If I get Kripke wrong, I hope he'll let us know.

As for the plan of the paper, we begin by reviewing Putnam's arguments; after that we move to Kripke's rebuttal. This will lead to a larger discussion of what logic and the empirical might have to do with one another.

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Publisher: Cambridge University Press
Print publication year: 2016

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References

[1] W., Alston, Perceiving God, Cornell University Press, Ithaca New York, 1991.
[2] G., Bacciagaluppi, Is logic empirical?, Handbook of Quantum Logic (D., Gabbay, D., Lehmann, and K., Engesser, editors), Elsevier, Amsterdam, 2009, pp. 49–78.
[3] C., Bourne, A Future for Presentism, Clarendon Press, Oxford, 2006.
[4] C. M., Caves, C. A., Fuchs, and R., Schack, Subjective probability and quantum certainty, Studies in History and Philosophy of Modern Physics, vol. 38 (2007), p. 255.Google Scholar
[5] S., Kochen and E., Specker, The problem of hidden variables in quantum mechanics, Journal of Mathematics and Mechanics, vol. 17 (1967), pp. 59–87.Google Scholar
[6] H., Putnam, Time and physical geometry, Journal of Philosophy, vol. 64 (1967), pp. 240–247. Reprinted in Mathematics, Matter and Method, Cambridge University Press, 1975, pp. 198-205.Google Scholar
[7] H., Putnam, Is logic empirical?, Boston Studies in the Philosophy of Science (Robert S., Cohen and Marx W., Wartofsky, editors), vol. 5, D. Reidel, Dordrecht, 1968, pp. 216–241. Reprinted as The logic of quantum mechanics in Mathematics, Matter and Method, Cambridge University Press, 1975, pp. 174-197.
[8] A., Stairs, Quantum logic, realism and value-definiteness, Philosophy of Science, vol. 50 (1983), pp. 578–602.Google Scholar
[9] A., Stairs, Kriske, Tupman and Quantum Logic: the quantum logician's conundrum, Physical Theory and its Interpretation (W., Demopoulos and I., Pitowsky, editors), Springer, 2006.
[10] A., Stairs, A loose and separate certainty: Caves, Fuchs and Schack on quantum probability one, Studies in History and Philosophy of Modern Physics, vol. 42 (2011), pp. 158–166.Google Scholar
[11] H., Stein, On Einstein-Minkowski space-time, The Journal of Philosophy, vol. 65 (1968), pp. 5–23.Google Scholar
[12] R. H., Thomason, Indeterminist time and truth value gaps, Theoria, vol. 36 (1970), pp. 264–281.Google Scholar

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