Question

Can $\omega_\alpha$ be defined indepentdly of $\aleph$ numbers?

score 181 · Answer 1 · 2026-04-16 19:47:02

181

Views

Can $\omega_\alpha$ be defined indepentdly of $\aleph$ numbers?

Published on 16 Apr 2026 - 19:47

score 60 · Answer 2 · 2026-04-10 06:32:38

60

Views

Confusion about proof involving picking out element of ultrapower

Published on 10 Apr 2026 - 6:32

score 95 · Answer 3 · 2026-04-16 03:20:59

95

Views

Ordinal $\alpha$ is isomorphic to a proper initial segment of another ordinal $\beta \iff \alpha \in \beta$

Published on 16 Apr 2026 - 3:20

score 258 · Answer 4 · 2026-04-12 08:25:27

258

Views

Trouble finding a proof that well-ordering of the reals is independent of ZF

Published on 12 Apr 2026 - 8:25

score 813 · Answer 5 · 2026-04-14 05:50:29

813

Views

Show that ordinal addition is associative

Published on 14 Apr 2026 - 5:50

score 169 · Answer 6 · 2026-04-08 22:18:03

169

Views

How to order ordinal numbers

Published on 08 Apr 2026 - 22:18

score 126 · Answer 7 · 2026-04-13 02:02:20

126

Views

Applied Uses for Pure Theorems ("Mathematical Sinners")

Published on 13 Apr 2026 - 2:02

score 185 · Answer 8 · 2026-04-09 07:06:02

185

Views

Consistency strength of the Large cardinals is almost linear

Published on 09 Apr 2026 - 7:06

score 151 · Answer 9 · 2026-04-15 05:29:45

151

Views

From axiom of regularity, how can I prove $x \notin y \lor y \notin x$

Published on 15 Apr 2026 - 5:29

score 56 · Answer 10 · 2026-04-14 16:29:45

56

Views

Given the following condition, show that $|\operatorname{trcl}$(y)$| < \kappa$

Published on 14 Apr 2026 - 16:29

score 298 · Answer 11 · 2026-04-17 12:10:07

298

Views

Original purpose of Fundamental Sequences of limit ordinals

Published on 17 Apr 2026 - 12:10

score 256 · Answer 12 · 2026-04-17 15:58:08

256

Views

Prove $\alpha + \beta = \beta + \alpha \Rightarrow \alpha = \gamma n, \beta = \gamma m$ for some $m, n \in \mathbb{N}$.

Published on 17 Apr 2026 - 15:58

score 33 · Answer 13 · 2026-04-17 06:25:04

33

Views

Set theoretical problems in the construction of the homotopy category

Published on 17 Apr 2026 - 6:25

score 143 · Answer 14 · 2026-04-10 16:06:09

143

Views

Prove $\{\alpha\in\mathcal O : |\alpha|\leq \aleph_0\}$ is a set

Published on 10 Apr 2026 - 16:06

score 120 · Answer 15 · 2026-04-13 23:09:04

120

Views

Existence of sets

Published on 13 Apr 2026 - 23:09

List Question

Can $\omega_\alpha$ be defined indepentdly of $\aleph$ numbers?

Confusion about proof involving picking out element of ultrapower

Ordinal $\alpha$ is isomorphic to a proper initial segment of another ordinal $\beta \iff \alpha \in \beta$

Trouble finding a proof that well-ordering of the reals is independent of ZF

Show that ordinal addition is associative

How to order ordinal numbers

Applied Uses for Pure Theorems ("Mathematical Sinners")

Consistency strength of the Large cardinals is almost linear

From axiom of regularity, how can I prove $x \notin y \lor y \notin x$

Given the following condition, show that $|\operatorname{trcl}$(y)$| < \kappa$

Original purpose of Fundamental Sequences of limit ordinals

Prove $\alpha + \beta = \beta + \alpha \Rightarrow \alpha = \gamma n, \beta = \gamma m$ for some $m, n \in \mathbb{N}$.

Set theoretical problems in the construction of the homotopy category

Prove $\{\alpha\in\mathcal O : |\alpha|\leq \aleph_0\}$ is a set

Existence of sets

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