Gödel, Carnap and the Fregean heritage

Synthese 137 (1-2):21 - 41 (2003)
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Abstract

Thorough a detailed analysis of version III of Gödel's Is mathematics syntax of language?, we propose a new interpretation of Gödel's criticism against the conventionalist point of view in mathematics. When one reads carefully Gödel's text, it brings out that, contrary to the opinion of some commentators, Gödel did not overlook the novelty of Carnap's solution, and did not criticise him from an old-fashioned conception of science. The general aim of our analysis is to restate the Carnap/Gödel debate in the Fregean heritage. We stress the way both of them try to answer, from different Fregean perspectives, to the question of the nature of logic and mathematics in knowledge.

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Gabriella Crocco
Université d'Aix-Marseille III

Citations of this work

On the philosophical relevance of Gödel's incompleteness theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
Gödel on Concepts.Gabriella Crocco - 2006 - History and Philosophy of Logic 27 (2):171-191.
Kurt gödel.Juliette Kennedy - 2008 - Stanford Encyclopedia of Philosophy.

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