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Boolean algebra of a certain size containing filter

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#set-theory #order-theory #boolean-algebra #filters #large-cardinals
145
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Normal $\kappa$-complete non-principal ultrafilter on measurable cardinal $\kappa$

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#measure-theory #set-theory #filters #large-cardinals
150
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Minimal models in strong set theories

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#set-theory #model-theory #ordinals #large-cardinals
122
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Why are these two definitions of extendible cardinal equivalent?

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#logic #set-theory #large-cardinals
74
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Exercise 20.12 of Jech's Set Theory

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#logic #set-theory #large-cardinals
156
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Destroying the Mahloness of $\kappa$ with a forcing of size $\kappa$ that is $\alpha$-distributive for all $\alpha<\kappa$

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#logic #set-theory #forcing #large-cardinals
142
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In the context of Morse–Kelley set theory how does truth compare to satisfaction in an unbounded class of $V_\kappa$s?

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#set-theory #proof-theory #large-cardinals
121
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Can (should?) the Yoneda embedding be formulated in terms of $0$-categories?

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#category-theory #foundations #large-cardinals #yoneda-lemma #representable-functor
64
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Equivalences of $\mathcal{F}$-Mahloness

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#logic #set-theory #large-cardinals
82
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What is the rigorous definition of a large cardinal axiom?

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#set-theory #large-cardinals
238
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Measurable cardinals, elementary embeddings, and Kunen's theorem

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#logic #set-theory #model-theory #filters #large-cardinals
98
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Why do Mahlo cardinals imply the totality of the finite promise games

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#linear-algebra #set-theory #foundations #proof-theory #large-cardinals
150
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What are benefits of fixing a Grothendieck universe?

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#category-theory #set-theory #large-cardinals
851
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What is a 'icarus' set?

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#set-theory #definition #large-cardinals
177
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a small category equivalent to the category of all sets

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#category-theory #set-theory #foundations #large-cardinals

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