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The study of canonical inner models for large cardinal hypotheses, with particular attention to their fine structure theory, and iterability issues.

24 votes
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Classifying set theories whose standard models sharing the same ordinals are equal

In this edit, the statement of Friedman's theorem is reformulated (the previous formulation was incorrectly stated). Thanks to Dmytro Taranovsky and Farmer Schultzenberg for pointing out the blooper. …
Ali Enayat's user avatar
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6 votes

Minimum transitive models and V=L

Here is another partial result; it complements Joel Hamkins' answer. Note that in the following theorem, $T$ is not necessarily a c.e. theory. Theorem. Suppose $T$ is an extension of $\mathrm{ZF} + \e …
Ali Enayat's user avatar
  • 17.7k