How the continuum hypothesis could have been a fundamental axiom
| Autor: | Hamkins, Joel David |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | I describe a simple historical thought experiment showing how we might have come to view the continuum hypothesis as a fundamental axiom, one necessary for mathematics, indispensable even for calculus. Comment: 19 pages. Commentary can be made on the author's blog at https://jdh.hamkins.org/how-ch-could-have-been-fundamental. v2 includes many minor improvements, as well as new discussion of several issues, including the fact that ZFC proves (without CH) that there is a unique initial countably saturated real-closed field |
| Databáze: | arXiv |
| Externí odkaz: |
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