Timeline for In What Way are Set Theorists' 'Experiences' in the CH Worlds Flawed, if Any?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 9, 2023 at 18:07 | comment | added | Joel David Hamkins | Sorry, my blog is having problems, and I'm trying to fix it when I have time. The paper is available at cambridge.org/core/journals/review-of-symbolic-logic/article/…. Also on the arxiv at arxiv.org/abs/1108.4223. | |
| Apr 9, 2023 at 13:59 | comment | added | Steven Landsburg | Has the referenced blog post been deleted? The link leads to a page showing the title, but no further content. | |
| Mar 22, 2012 at 20:09 | comment | added | Joel David Hamkins | No problem---don't worry about it. As for getting experience in the CH, GCH and $\neg$CH worlds, I would recommend any of the standard treatments of forcing and iterated forcing. My sense of the future for viewing set theory as a foundation of mathematics is that this will continue as it has, in that set theorists will continue to explore the diversity of models of set theory, while quietly abandoning the sometimes-heard remarks concerning what is "really" true. | |
| Mar 22, 2012 at 19:39 | comment | added | Thomas Benjamin | @ Prof. Hamkins: Sorry to have misquoted you. I would still be interested in getting a sense of the experience set theorists' have in the CH and GCH worlds. Is there a survey article which covers that experience? If so, please let me know. Also, have you any idea how the notion of set theory being the foundations of mathematics will survive in the set-theoretic multiverse? Should it? | |
| Mar 22, 2012 at 19:04 | vote | accept | Thomas Benjamin | ||
| Mar 21, 2012 at 23:31 | comment | added | Jacques Carette | Some of us actually wish there were lots more mathematical philosophy (at a proper 'research' level) on MO! | |
| Mar 21, 2012 at 21:49 | comment | added | Joel David Hamkins | Let me also apologize to those who object to having mathematical philosophy on MO, who I hope will allow it. The truth is that much of the current work in the philosophy of set theory involves deeply philosophical issues surrounding some of the most technical methods and ideas, such as forcing and large cardinals, and the subject requires experts in both realms, mathematics and philosophy, to progress. | |
| Mar 21, 2012 at 21:24 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |