The controversy between Frege and Hilbert
সংরক্ষণ করুন:
| লেখক: | |
|---|---|
| বিন্যাস: | artículo original |
| বর্তমান অবস্থা: | Versión publicada |
| প্রকাশনার তারিখ: | 2018 |
| বিবরন: | 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. |
| দেশ: | Portal de Revistas UCR |
| প্রতিষ্ঠান: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| ভাষা: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/35084 |
| অনলাইন ব্যবহার করুন: | https://archivo.revistas.ucr.ac.cr/index.php/filosofia/article/view/35084 |
| মুখ্য শব্দ: | Definitions Proof of independence and consistency Concepts Logical consequence |