Gödel, Carnap and the Fregean heritage

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

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.

Download options

PhilArchive



    Upload a copy of this work     Papers currently archived: 72,891

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2009-01-28

Downloads
110 (#109,555)

6 months
4 (#162,461)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Gabriella Crocco
Université d'Aix-Marseille III

References found in this work

The Basic Laws of Arithmetic.Gottlob Frege - 1893 - Berkeley: University of California Press.
Der logische Aufbau der Welt.Rudolf Carnap - 1929 - Annalen der Philosophie Und Philosophischen Kritik 8:106-107.

View all 8 references / Add more references

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.

Add more citations

Similar books and articles

Gödel and 'the Objective Existence' of Mathematical Objects.Pierre Cassou-Noguès - 2005 - History and Philosophy of Logic 26 (3):211-228.
Gödel and Carnap.Steve Awodey & A. W. Carus - 2010 - In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
On the Philosophical Relevance of Gödel's Incompleteness Theorems.Panu Raatikainen - 2005 - Revue Internationale de Philosophie 59 (4):513-534.
Gödel and the Intuition of Concepts.Richard Tieszen - 2002 - Synthese 133 (3):363 - 391.
Carnap, the Principle of Tolerance, and Empiricism.Robert Hudson - 2010 - Philosophy of Science 77 (3):341-358.
Kurt Gödel and the Foundations of Mathematics: Horizons of Truth.Matthias Baaz (ed.) - 2011 - Cambridge, England: Cambridge University Press.