A Logical Analysis of Singular Terms
Beziau (Jean-Yves)
Source: Sorites 10, May 1999: 6-14
Paper - Abstract

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Author’s Abstract

    We analyse the behaviour of definite descriptions and proper names terms in mathematical logic. We show that in formal arithmetic, wether some axioms are fixed or not, proper names cannot be considered rigid designators and have the same behaviour as definite descriptions. In set theory, sometimes two names for the same object are introduced. It seems that this can be explained by the notion of meaning. The meaning of such proper names can be considered as fuzzy sets of equivalent codesignative definite descriptions and their references as sets of all equivalent codesignative definite descriptions.

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Filed electronically with the full edition of Sorites 10

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