Carnap's work in the foundations of logic and mathematics in a historical perspective

Synthese 93 (1-2):167 - 189 (1992)
Abstract
Carnap's philosophy is examined from new viewpoints, including three important distinctions: (i) language as calculus vs language as universal medium; (ii) different senses of completeness: (iii) standard vs nonstandard interpretations of (higher-order) logic. (i) Carnap favored in 1930-34 the "formal mode of speech," a corollary to the universality assumption. He later gave it up partially but retained some of its ingredients, e.g., the one-domain assumption. (ii) Carnap's project of creating a universal self-referential language is encouraged by (ii) and by the author's recent work. (iii) Carnap was aware of (iii) and occasionally used the standard interpretation, but was not entirely clear of the nature of the contrast
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DOI 10.1007/BF00869425
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References found in this work BETA
Naming and Necessity.Saul A. Kripke - 1980 - Harvard University Press.
Meaning and Necessity.Rudolf Carnap - 1947 - University of Chicago Press.
The Logical Syntax of Language.Rudolf Carnap - 1937 - London: K. Paul, Trench, Trubner & Co..

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Citations of this work BETA
Carnap's Early Semantics.Georg Schiemer - 2013 - Erkenntnis 78 (3):487-522.
De-Synthesizing the Relative a Priori.Thomas Uebel - 2012 - Studies in History and Philosophy of Science Part A 43 (1):7-17.

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