Abstract

There are many logical theories of descriptions. Those of Frege (1892), Russell (1905) and Hilbert-Bernays (1934) are summarized in ?? 7?8 of Carnap's book Meaning and Necessity (Chicago 1947). Two other theories have been presented by Rosser (1953) and Hailperin (1954). A new theory of descriptions is contained in the paper of R. Montague and D. Kalish (Remarks on descriptions and natural deduction, Archiv f?r mathematische Logik und Grundlagenforschung, Heft 3/1?2, 50?64)1. Their paper contains also a short comparative discussion of the general properties of all the theories of descriptions mentioned above. The aim of this paper is to present the principal properties of the theory of descrip? tions proposed by Bernays2. The descriptive operator introduced by Bernays (called the unifier) seems to be the best formalisation of the notion: the (only one) object such that...

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