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Results tagged with axioms
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user 6085
11
votes
Any paradoxical theorems arising from large cardinal axioms?
(This was a reply to John that grew beyond the alloted limit.)
large cardinals have consequences that were initially surprising to set theorists.
But, John, this is simply because our intuitions …
- 32.5k
30
votes
Counterintuitive consequences of the Axiom of Determinacy?
Let's see: $\mathsf{AD}$ implies that all sets of reals are Lebesgue measurable, have the Baire property, and the perfect set property (so, a version of the continuum hypothesis holds). It is conjectu …
- 32.5k