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Theses

Les Grundgesetze der Arithmetik de Frege : idéographie : genèse, syntaxe, sémantique

Abstract : There is still considerable disagreement among Frege's exegetes on how Frege's logical universalism relates to modem semantics; does the former obstruct the development and/or the use of the latter? Two sides exist on this issue. The first one quotes many sections of the Grundgesetze which seem to contain genuine semantic reasonings. The other one claims that Frege holds these sections to be strict elucidations excluded de jure from the realm of science. My aim is to shed light on this problem. For this purpose, I contest the following commonplaces: (1) that Frege was concerned with indicating the slightest change of his thoughts, and (2) that his philosophical theses can be studied regardless of his particular symbolism. l thus complete the two tasks of tracing back the origins of the underlying ideas in the Ideography of 1893 and of building up this very system step by step. My results, attached to my rejection of (1) and (2), shed a new light m the issue raised above. They lead us to the radical position that not only did Frege not reject semantics, but that he himself paved the way to such a semantic theory in order to prove metalogical theorems. I then try to formalize the former so as to locate his errors in the latter. This work eventually leads to a thorough study of the famous §§ 29-31 of the Grundgesetze.
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Submitted on : Tuesday, January 16, 2018 - 9:58:08 AM
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  • HAL Id : tel-01685103, version 1

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Méven Cadet. Les Grundgesetze der Arithmetik de Frege : idéographie : genèse, syntaxe, sémantique. Philosophie. Université Panthéon-Sorbonne - Paris I, 2017. Français. ⟨NNT : 2017PA01H211⟩. ⟨tel-01685103⟩

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