CEU Electronic Theses and Dissertations, 2021
| Author | Duvarci, Yaren |
|---|---|
| Title | From Poincarean Intuition to Actual Infinity |
| Summary | This thesis focuses on Poincaré’s philosophy of mathematics. Specifically, his theory of intuition as a foundation for mathematics and his ideas on actual infinity. My main goal is to present an analysis of Poincaré’s philosophy as a whole, and connect his ideas within a Poincaréan framework. In this thesis, I deal with how he argues for mathematical intuition, and why he thinks that mathematics is synthetic a priori. In the second chapter, I present his views on transfinite cardinals, and show the underlying reasons of his rejection of actual infinity. In the third chapter, I interpret Poincaré’s philosophy and show some possible reasons why he is dissatisfied with set theory and Cantor’s transfinite paradise. At the end, I look at Cantor’s argument for the uncountability of real numbers within a Poincaréan framework. |
| Supervisor | Ben-Yami, Hanoch |
| Department | Philosophy MA |
| Full text | https://www.etd.ceu.edu/2021/duvarci_yaren.pdf |
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