A solution to Frege's puzzle

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Abstract
This paper provides a new approach to a family of outstanding logical and semantical puzzles, the most famous being Frege's puzzle. The three main reductionist theories of propositions (the possible-worlds theory, the propositional-function theory, the propositional-complex theory) are shown to be vulnerable to Benacerraf-style problems, difficulties involving modality, and other problems. The nonreductionist algebraic theory avoids these problems and allows us to identify the elusive nondescriptive, non-metalinguistic, necessary propositions responsible for the indicated family of puzzles. The algebraic approach is also used to defend antiexistentialism against existentialist prejudices. The paper closes with a suggestion about how this theory of content might enable us to give purely semantic (as opposed to pragmatic) solutions to the puzzles based on a novel formulation of the principle of compositionality
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Archival date: 2015-12-19
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Deep Platonism.Chad Carmichael - 2016 - Philosophy and Phenomenological Research 92 (2):307-328.
Know-How and Concept Possession.John, Bengson & Marc, Moffett
Universals.Carmichael, Chad

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2009-01-28

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