Question

Ordinals and cardinals in ETCS set axiomatic

score 260 · Answer 1 · 2026-05-05 11:36:21

260

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Ordinals and cardinals in ETCS set axiomatic

Published on 05 May 2026 - 11:36

score 152 · Answer 2 · 2026-05-07 10:07:28

152

Views

max of limit cardinals smaller than a successor cardinal bigger than $\aleph_\omega$

Published on 07 May 2026 - 10:07

score 354 · Answer 3 · 2026-05-01 01:09:50

354

Views

If $\kappa$ is a regular cardinal then $\kappa^{<\kappa} = \max\{\kappa, 2^{<\kappa}\}$

Published on 01 May 2026 - 1:09

score 129 · Answer 4 · 2026-05-05 19:34:08

129

Views

Intuition regarding: $\kappa^{+}=|\{\kappa\leq\alpha\lt \kappa^{+}\}|$

Published on 05 May 2026 - 19:34

score 83 · Answer 5 · 2026-05-07 07:35:53

83

Views

On finding enough rationals (countable) to fill the uncountable number of intervals between the irrationals.

Published on 07 May 2026 - 7:35

score 270 · Answer 6 · 2026-05-06 15:07:14

270

Views

Is the set of cardinalities totally ordered?

Published on 06 May 2026 - 15:07

score 92 · Answer 7 · 2026-05-05 19:24:33

92

Views

Show that $n+\aleph_0=\aleph_0$

Published on 05 May 2026 - 19:24

score 146 · Answer 8 · 2026-05-07 07:39:09

146

Views

$COF(\lambda)$ is stationary in $k$, where $\lambda < k$ is regular.

Published on 07 May 2026 - 7:39

score 1.7k · Answer 9 · 2026-05-07 13:13:18

1.7k

Views

What is the cardinality of a set of all points on a line?

Published on 07 May 2026 - 13:13

score 386 · Answer 10 · 2026-05-07 12:42:39

386

Views

Better way to define this bijection [0,1) to (0,1)

Published on 07 May 2026 - 12:42

score 324 · Answer 11 · 2026-05-02 18:27:33

324

Views

Is there an uncountable family of infinite parts of $\mathbb N$ with two to two intersection finite?

Published on 02 May 2026 - 18:27

score 349 · Answer 12 · 2026-04-29 12:27:33

349

Views

What is the cardinality of the set of mathematical structures?

Published on 29 Apr 2026 - 12:27

score 160 · Answer 13 · 2026-04-29 12:27:55

Assuming $2^{\aleph_0}=\aleph_1$,$(\aleph_{\omega_1})^{\aleph_0}=\aleph_{\omega_1+5}$ prove existence of $\alpha\in LIM$ fulfilling some conditions

score 488 · Answer 14 · 2026-05-02 05:14:26

488

Views

Showing that the cardinality of two power sets are equal

Published on 02 May 2026 - 5:14

score 121 · Answer 15 · 2026-05-02 05:15:28

121

Views

Values of local maxima are countable for a $C^1$ function

Published on 02 May 2026 - 5:15

List Question

Ordinals and cardinals in ETCS set axiomatic

max of limit cardinals smaller than a successor cardinal bigger than $\aleph_\omega$

If $\kappa$ is a regular cardinal then $\kappa^{<\kappa} = \max\{\kappa, 2^{<\kappa}\}$

Intuition regarding: $\kappa^{+}=|\{\kappa\leq\alpha\lt \kappa^{+}\}|$

On finding enough rationals (countable) to fill the uncountable number of intervals between the irrationals.

Is the set of cardinalities totally ordered?

Show that $n+\aleph_0=\aleph_0$

$COF(\lambda)$ is stationary in $k$, where $\lambda < k$ is regular.

What is the cardinality of a set of all points on a line?

Better way to define this bijection [0,1) to (0,1)

Is there an uncountable family of infinite parts of $\mathbb N$ with two to two intersection finite?

What is the cardinality of the set of mathematical structures?

Assuming $2^{\aleph_0}=\aleph_1$,$(\aleph_{\omega_1})^{\aleph_0}=\aleph_{\omega_1+5}$ prove existence of $\alpha\in LIM$ fulfilling some conditions

Showing that the cardinality of two power sets are equal

Values of local maxima are countable for a $C^1$ function

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