The controversy between Frege and Hilbert
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| Autor: | |
|---|---|
| Format: | artículo original |
| Status: | Versión publicada |
| Data wydania: | 2018 |
| Opis: | In this paper, I shall focus my attention on two subjects of the debate between Frege and Hilbert held around 1900 concerning the foundations of geometry: a) the difference between axioms and definitions, b) the proofs of independence of axioms. Concerning the first point, I will hold that Hilbert and Frege had different conceptions of ‘concept’ and that Hilbert’s position is problematic. Later, I shall explore Patricia Blanchette’s interpretation that Frege’s objections to Hilbert’s proofs of consistency and independence arise from his different notions of logical consequence. I will suggest that this interpretation is not correct, even if it fits well with most of the textual evidence, because it gives rise to certain puzzling consequences. |
| Kraj: | Portal de Revistas UCR |
| Instytucja: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Język: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/35084 |
| Dostęp online: | https://archivo.revistas.ucr.ac.cr/index.php/filosofia/article/view/35084 |
| Słowo kluczowe: | Definitions Proof of independence and consistency Concepts Logical consequence |