Timeline for Conditional probabilities for all pairs of subsets in $\mathbb R^2$?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 9, 2013 at 4:53 | vote | accept | Alexander Pruss | ||
| Aug 9, 2013 at 2:16 | history | edited | Alexander Pruss | CC BY-SA 3.0 |
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| Aug 8, 2013 at 22:55 | answer | added | Alexander Pruss | timeline score: 0 | |
| Jul 16, 2013 at 3:09 | comment | added | Alexander Pruss | Actually, there is no way the Parikh and Parnes construction could generalize to $\mathbb R^2$, since it requires constructing a finitely additive hyperreal-valued measure that is almost invariant in the sense that $(\mu(\rho A)-\mu(A))/\mu(A)$ is infinitesimal for non-empty $A$ and isometry $\rho$. But such a measure would rule out bounded paradoxical subsets. | |
| Jul 9, 2013 at 2:51 | history | edited | Alexander Pruss | CC BY-SA 3.0 |
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| Jul 7, 2013 at 20:15 | history | asked | Alexander Pruss | CC BY-SA 3.0 |