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8 - Kripke on the Incoherency of Adopting a Logic

Published online by Cambridge University Press:  05 June 2012

Alan Berger
Affiliation:
Brandeis University, Massachusetts
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Summary

In 1974, Saul Kripke gave a graduate seminar at Princeton purportedly on Wittgenstein’s Philosophical Investigations, with emphasis on the role of rules in Wittgenstein’s private language argument. Before beginning this topic, Kripke said that he would first make a “few remarks” on a topic related to the central point of Wittgenstein’s discussion of “rule-following,” namely, the topic of “adopting a logic.” Kripke chose to address some other related questions. They included his views on whether it is coherent to “have a logic” or for there to be an “alternative logic.” He also concentrated on the more restrictive thesis of whether there is a nontrivial, “non–garden variety” way in which one can “revise logic.” These “few remarks” took up the entire seminar, with many classes running more than one hour over the three hours allotted to each class.

In Section I, we discuss Kripke’s general objections to the notion of adopting a logic. In Section II, we consider a part of logic that may be immune to these objections. In particular, we consider whether it is coherent to adopt “quantum logic.” In Section III, we evaluate the claim of adopting intuitionist logic. Last, in Section IV, I suggest some morals to be learned.

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Saul Kripke , pp. 177 - 208
Publisher: Cambridge University Press
Print publication year: 2011

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References

Quine, W. V.From a Logical Point of ViewCambridgeHarvard University Press 1963Google Scholar
Berry, GeorgeWords and Objections: Essays on the Work of W. V. QuineNew YorkHumanities Press 1970Google Scholar
Putnam, HilaryBoston Studies in the Philosophy of ScienceDordrechtD. Reidel 1968Google Scholar
Putnam, HilaryMinnesota Studies in the Philosophy of ScienceMinneapolisUniversity of Minnesota Press 1962Google Scholar
Carroll, LewisWhat the Tortoise Said to AchillesMind 4 1895 278CrossRefGoogle Scholar
Quine, W. V.The Ways of Paradox and Other EssaysCambridgeHarvard University Press 1976Google Scholar
Berger, AlanPerspectives on QuineOxfordBlackwell 1990Google Scholar
Kleene, S. C.Introduction to MetamathematicsNew Yorkvan Nostrand 1952Google Scholar

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