Timeline for Is "the purely probabilistic version of Freiling's axiom of symmetry" disprovable in ZFC?
Current License: CC BY-SA 4.0
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| Nov 27, 2023 at 14:36 | comment | added | Joel David Hamkins | Yes, that's right. My own view is that the prereflective probabilistic intuitions are not very important, for what we've learned from looking into probability theory more seriously is that many naive intuitions are simply wrong. The lesson I take from this is that we are advised to abandon the naive ideas and adopt a more sophisticated treatment of probability. | |
| Nov 27, 2023 at 14:09 | comment | added | Julian Newman | Thanks. So according to the third paragraph of your answer, there is a model consistent with Freiling’s axiom of symmetry in which my statement holds. I guess that that, by itself, is not an argument against Freiling’s intuition, but just creates a “probabilistic intuition against Martin’s Axiom” (because MA plus something probabilistically intuitive implies something probabilistically counterintuitive)? | |
| Nov 27, 2023 at 13:32 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |