The Early Formation of Modal Logic and its Significance: A Historical Note on Quine, Carnap, and a Bit of Church

History and Philosophy of Logic 39 (3):289-304 (2018)
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Abstract

The aim of the paper is to show that W. V. O. Quine's animadversions against modal logic did not get the same attention that is considered to be the case nowadays. The community of logicians focused solely on the technical aspects of C. I. Lewis’ systems and did not take Quine's arguments and remarks seriously—or at least seriously enough to respond. In order to assess Quine's place in the history, however, his relation to Carnap is considered since their notorious break was about the status of extensionality and modal logic. Since much of the works about the history of analytic philosophy is centered on the relationship of Quine and Carnap, their break about modality deserves much more attention—it also sheds some light on why should anyone wonder about Quine's early arguments against modal logic. The paper ends with some further considerations regarding the early formation of modal logic and hitherto unconsidered problematic issues.

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Adam Tamas Tuboly
Hungarian Academy of Sciences

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References found in this work

Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
Introduction to mathematical philosophy.Bertrand Russell - 1919 - New York: Dover Publications.

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