Modality and description

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1948 English Publisher:Cambridge University Press (CUP)Journal:Journal of Symbolic Logic, volume 13, pages 31-37 (issn: 0022-4812, eissn: 1943-5886,

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Authors: Arthur Francis Smullyan;

doi: 10.2307/2268137

Modality and description

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Abstract

There are logicians who maintain that modal logic violates Leibniz's principle that if x and y are identical, then y has every property of x. The alleged difficulty is illustrated in the following example due to Quine.1A. It is logically necessary that 9 is less than 10.B. 9 = the number of the planets.C. Therefore, it is logically necessary that the number of the planets is less than 10.

Related Organizations

University of Washington
United States
University of Mary
United States

Keywords

Philosophy and foundations of mathematics

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