Skip to main content Accessibility help
×
Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-23T07:28:01.416Z Has data issue: false hasContentIssue false

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
Get access

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.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2016

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×