Timeline for Not especially famous, long-open problems which higher mathematics beginners can understand
Current License: CC BY-SA 3.0
4 events
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| Feb 23, 2013 at 16:14 | comment | added | Asaf Karagila♦ | Andreas, I agree. But that's the historical question. An interesting question which I have never really given my full attention (for a sufficient time, anyway) is whether or not when the cardinals are not well-founded there is a decreasing sequence. The only case to verify is when there are no Dedekind-finite sets, and DC still fails. | |
| Feb 23, 2013 at 13:43 | comment | added | Andreas Blass | In the absence of DC, one might modify your second question to ask about the status of "The ordering of cardinals is well-founded." | |
| Feb 22, 2013 at 23:46 | comment | added | Asaf Karagila♦ | I have this huge fantasy that the partition principle will not prove the axiom of choice, that would be epic in ways beyond words. I'd love for that to happen. | |
| Feb 22, 2013 at 23:27 | history | answered | Asaf Karagila♦ | CC BY-SA 3.0 |