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Results tagged with large-cardinals
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user 49
4
votes
Is there a least-fixed-point formulation of inaccessible cardinals?
A different sort of answer is possible if one works in type theory, rather than in set theory. In type theory, the corresponding notion to a "least fixed point" is an inductively defined type. For i …
- 66.8k
22
votes
Reflection principle vs universes
I'd like to mention something that I think hasn't been pointed out yet. The original question began with
In set-theoretic language, one fixes some strongly inaccessible cardinal $\kappa$... This imp …
- 66.8k
37
votes
Accepted
Reasons to believe Vopenka's principle/huge cardinals are consistent
Most of the arguments previously presented take a set-theoretic/logical point of view and apply to large cardinal axioms in general. There's a lot of good stuff there, but I think there are additiona …
- 66.8k