Question

Is it true that $(\kappa = 0,1$ or infinite$)$ $\Leftrightarrow (\kappa^\mu = \kappa$ for all $\mu < \kappa)$?

score 82 · Answer 1 · 2026-04-14 19:35:35

82

Views

Is it true that $(\kappa = 0,1$ or infinite$)$ $\Leftrightarrow (\kappa^\mu = \kappa$ for all $\mu < \kappa)$?

Published on 14 Apr 2026 - 19:35

score 371 · Answer 2 · 2026-04-15 12:32:55

371

Views

Countable intersection of nested non-empty closed sets in ZF

Published on 15 Apr 2026 - 12:32

score 5k · Answer 3 · 2026-04-11 22:29:52

5k

Views

What was the definition of "set" that resulted in Russell's paradox?

Published on 11 Apr 2026 - 22:29

score 61 · Answer 4 · 2026-04-14 02:33:38

61

Views

Finding a recursive function that codes a relevant tree for a $\Pi^1_1(a)$ subset of $^k(^\omega\omega)$.

Published on 14 Apr 2026 - 2:33

score 146 · Answer 5 · 2026-03-25 12:53:48

146

Views

Predicative separation and the limited principle of omniscience

Published on 25 Mar 2026 - 12:53

score 755 · Answer 6 · 2026-04-14 19:24:55

755

Views

Problem 12, Sec. 24 of Munkres' "Topology," long line cannot be imbedded in reals

Published on 14 Apr 2026 - 19:24

score 208 · Answer 7 · 2026-04-15 23:10:42

208

Views

Partial ordering with respect to being an initial segment or continuation according to Halmos

Published on 15 Apr 2026 - 23:10

score 263 · Answer 8 · 2026-04-14 03:45:57

263

Views

proof of existence in the recursion theorem in set theory

Published on 14 Apr 2026 - 3:45

score 56 · Answer 9 · 2026-04-10 08:01:18

56

Views

Does $|A|^{|A|}=2^{|A|}$ hold for any infinite set $A$?

Published on 10 Apr 2026 - 8:01

score 126 · Answer 10 · 2026-04-23 00:45:36

126

Views

On the distributive number $\mathfrak h$

Published on 23 Apr 2026 - 0:45

score 107 · Answer 11 · 2026-04-17 08:37:04

107

Views

If $A$ is $\kappa\text{-Suslin}$ then so is $pA$.

Published on 17 Apr 2026 - 8:37

score 66 · Answer 12 · 2026-04-16 03:54:56

66

Views

Proving $\|x=y\|\cdot \|\phi(x)\|\le\|\phi(y)\|$ in Boolean valued models

Published on 16 Apr 2026 - 3:54

score 111 · Answer 13 · 2026-04-10 20:13:48

111

Views

Infinite Time Turing Machine and Hypertask

Published on 10 Apr 2026 - 20:13

score 180 · Answer 14 · 2026-04-14 05:51:20

180

Views

Why is the class of all sets denoted $V$?

Published on 14 Apr 2026 - 5:51

score 40 · Answer 15 · 2026-04-14 04:01:30

40

Views

Proving that a minimal set satisfying 'tree' properties is countable.

Published on 14 Apr 2026 - 4:01

List Question

Is it true that $(\kappa = 0,1$ or infinite$)$ $\Leftrightarrow (\kappa^\mu = \kappa$ for all $\mu < \kappa)$?

Countable intersection of nested non-empty closed sets in ZF

What was the definition of "set" that resulted in Russell's paradox?

Finding a recursive function that codes a relevant tree for a $\Pi^1_1(a)$ subset of $^k(^\omega\omega)$.

Predicative separation and the limited principle of omniscience

Problem 12, Sec. 24 of Munkres' "Topology," long line cannot be imbedded in reals

Partial ordering with respect to being an initial segment or continuation according to Halmos

proof of existence in the recursion theorem in set theory

Does $|A|^{|A|}=2^{|A|}$ hold for any infinite set $A$?

On the distributive number $\mathfrak h$

If $A$ is $\kappa\text{-Suslin}$ then so is $pA$.

Proving $\|x=y\|\cdot \|\phi(x)\|\le\|\phi(y)\|$ in Boolean valued models

Infinite Time Turing Machine and Hypertask

Why is the class of all sets denoted $V$?

Proving that a minimal set satisfying 'tree' properties is countable.

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