Question

Difficulty understanding Axiom of Choice

score 117 · Answer 1 · 2026-04-10 17:35:04

117

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Difficulty understanding Axiom of Choice

Published on 10 Apr 2026 - 17:35

score 46 · Answer 2 · 2026-04-13 10:38:01

46

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Prove that $\{x\in X\mid x\cap\kappa$ is $<\gamma$-closed$\}\in\mathcal I^*$.

Published on 13 Apr 2026 - 10:38

score 112 · Answer 3 · 2026-04-17 12:37:47

112

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Transversal duality for upwards-closed subsets of ${\cal P}(X)$

Published on 17 Apr 2026 - 12:37

score 74 · Answer 4 · 2026-04-10 20:57:21

74

Views

What if we suppose continuum hypothesis is false?

Published on 10 Apr 2026 - 20:57

score 350 · Answer 5 · 2026-04-12 09:44:06

350

Views

Permutation Models of Set Theory - meaning of "ZFA does not distinguish between atoms"

Published on 12 Apr 2026 - 9:44

score 89 · Answer 6 · 2026-04-12 00:36:03

89

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A graded definition of class using types.

Published on 12 Apr 2026 - 0:36

score 123 · Answer 7 · 2026-04-15 19:09:59

Isomorphism of $V_\lambda$ and the ultraproduct of $V_{\lambda_{\mathrm{otp}(x)}}, x \in \mathcal{P}_\kappa({\lambda})$ by a normal fine measure.

score 78 · Answer 8 · 2026-04-12 16:19:54

78

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Cores in Boolean valued models

Published on 12 Apr 2026 - 16:19

score 80 · Answer 9 · 2026-04-10 23:41:01

80

Views

Using axiom of replacement to form a function $f$

Published on 10 Apr 2026 - 23:41

score 101 · Answer 10 · 2026-04-11 21:35:45

101

Views

What’s ‘Function’ in Axiom of Choice?

Published on 11 Apr 2026 - 21:35

score 143 · Answer 11 · 2026-04-14 20:32:09

143

Views

Descriptive Set Theory: Totally/well ordering nodes of a tree with infinite branches?

Published on 14 Apr 2026 - 20:32

score 124 · Answer 12 · 2026-04-17 10:27:09

124

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Sets with an infinite number of {{{...}}}

Published on 17 Apr 2026 - 10:27

score 149 · Answer 13 · 2026-04-09 04:22:36

149

Views

Can an example of a non-measurable set be exhibited with non-well-founded set theories?

Published on 09 Apr 2026 - 4:22

score 276 · Answer 14 · 2026-04-15 06:46:08

276

Views

Uncountable family of pairwise disjoint non-stationary subsets

Published on 15 Apr 2026 - 6:46

score 56 · Answer 15 · 2026-04-12 11:53:28

56

Views

what it means to fail the axiom of comprehension

Published on 12 Apr 2026 - 11:53

List Question

Difficulty understanding Axiom of Choice

Prove that $\{x\in X\mid x\cap\kappa$ is $<\gamma$-closed$\}\in\mathcal I^*$.

Transversal duality for upwards-closed subsets of ${\cal P}(X)$

What if we suppose continuum hypothesis is false?

Permutation Models of Set Theory - meaning of "ZFA does not distinguish between atoms"

A graded definition of class using types.

Isomorphism of $V_\lambda$ and the ultraproduct of $V_{\lambda_{\mathrm{otp}(x)}}, x \in \mathcal{P}_\kappa({\lambda})$ by a normal fine measure.

Cores in Boolean valued models

Using axiom of replacement to form a function $f$

What’s ‘Function’ in Axiom of Choice?

Descriptive Set Theory: Totally/well ordering nodes of a tree with infinite branches?

Sets with an infinite number of {{{...}}}

Can an example of a non-measurable set be exhibited with non-well-founded set theories?

Uncountable family of pairwise disjoint non-stationary subsets

what it means to fail the axiom of comprehension

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