Timeline for The (non-)absoluteness of second-order elementary equivalence
Current License: CC BY-SA 3.0
4 events
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Mar 29, 2014 at 2:15 | comment | added | Joel David Hamkins | I don't know, but I suspect yes. I do know that $\text{MP}(\mathbb{R})$ does not necessarily imply projective absoluteness, because there is a mis-match in the large cardinal strength. Thus, projective truth can be changeable by forcing, even when $\text{MP}(\mathbb{R})$ holds, and this seems close to what you want. | |
Mar 29, 2014 at 2:09 | comment | added | Noah Schweber | Is it known if "$MP(\mathbb{R})+$there are such switching $A$ and $B$" is consistent with $ZFC$? | |
Mar 29, 2014 at 1:52 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
added 66 characters in body
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Mar 29, 2014 at 1:39 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |