Question

Proof that injections from $[1],[2],[3].,,,.$ into $S$ implies $S$ is infinite

score 106 · Answer 1 · 2026-04-16 00:26:49

106

Views

Proof that injections from $[1],[2],[3].,,,.$ into $S$ implies $S$ is infinite

Published on 16 Apr 2026 - 0:26

score 282 · Answer 2 · 2026-04-16 04:41:31

282

Views

Cardinality of order types in $\mathbb{N}$

Published on 16 Apr 2026 - 4:41

score 336 · Answer 3 · 2026-04-16 13:35:46

336

Views

Why is the set $w={0,1,2,\ldots}$ ill-defined?

Published on 16 Apr 2026 - 13:35

score 126 · Answer 4 · 2026-04-13 00:16:16

126

Views

If AC is false, does that mean there exist a set $A$ which has different cardinality from any ordinals?

Published on 13 Apr 2026 - 0:16

score 157 · Answer 5 · 2026-04-12 08:42:40

157

Views

Are elementary embeddings of an inner model in itself possible?

Published on 12 Apr 2026 - 8:42

score 277 · Answer 6 · 2026-04-09 08:03:07

277

Views

Undecidable cardinality

Published on 09 Apr 2026 - 8:03

score 64 · Answer 7 · 2026-04-13 18:39:58

64

Views

$\mathsf{GCH}$ in $L[U]$ without the Rowbottom property

Published on 13 Apr 2026 - 18:39

score 57 · Answer 8 · 2026-04-16 03:26:38

If $f:2^{\omega}\longrightarrow 2^{\omega}$ is a homeomorphism and $J\subseteq 2^{\omega}$ is a maximal ideal, then $f[J]$ is a maximal ideal?

score 54 · Answer 9 · 2026-04-09 18:04:43

54

Views

does a non ordinary set exists in NBG?

Published on 09 Apr 2026 - 18:04

score 131 · Answer 10 · 2026-04-16 01:19:19

131

Views

Theorem 1 in Suppes's Axiomatic Set Theory - why is the empty set used?

Published on 16 Apr 2026 - 1:19

score 180 · Answer 11 · 2026-04-14 05:47:07

180

Views

Why can’t a class be contained in other class?

Published on 14 Apr 2026 - 5:47

score 57 · Answer 12 · 2026-04-13 13:23:08

57

Views

Is belonging not defined in axiomatic set theory?

Published on 13 Apr 2026 - 13:23

score 50 · Answer 13 · 2026-04-16 10:05:22

50

Views

$KG(\mathfrak a_1,\mathfrak b_1)\cong KG(\mathfrak a_2,\mathfrak b_2)$ with $(\mathfrak a_1,\mathfrak b_1)\neq(\mathfrak a_2,\mathfrak b_2)$

Published on 16 Apr 2026 - 10:05

score 65 · Answer 14 · 2026-04-14 03:48:30

65

Views

Are there other simple conditions we can use to demonstrate the non-existence of a universal set?

Published on 14 Apr 2026 - 3:48

score 86 · Answer 15 · 2026-04-14 06:17:55

86

Views

Does $ | X | = | \mathbb{R} |$ hold for all Banach spaces $X$?

Published on 14 Apr 2026 - 6:17

List Question

Proof that injections from $[1],[2],[3].,,,.$ into $S$ implies $S$ is infinite

Cardinality of order types in $\mathbb{N}$

Why is the set $w={0,1,2,\ldots}$ ill-defined?

If AC is false, does that mean there exist a set $A$ which has different cardinality from any ordinals?

Are elementary embeddings of an inner model in itself possible?

Undecidable cardinality

$\mathsf{GCH}$ in $L[U]$ without the Rowbottom property

If $f:2^{\omega}\longrightarrow 2^{\omega}$ is a homeomorphism and $J\subseteq 2^{\omega}$ is a maximal ideal, then $f[J]$ is a maximal ideal?

does a non ordinary set exists in NBG?

Theorem 1 in Suppes's Axiomatic Set Theory - why is the empty set used?

Why can’t a class be contained in other class?

Is belonging not defined in axiomatic set theory?

$KG(\mathfrak a_1,\mathfrak b_1)\cong KG(\mathfrak a_2,\mathfrak b_2)$ with $(\mathfrak a_1,\mathfrak b_1)\neq(\mathfrak a_2,\mathfrak b_2)$

Are there other simple conditions we can use to demonstrate the non-existence of a universal set?

Does $ | X | = | \mathbb{R} |$ hold for all Banach spaces $X$?

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