Question

Ordinals and cardinals in ETCS set axiomatic

score 243 · Answer 1 · 2026-03-22 19:54:33

243

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Ordinals and cardinals in ETCS set axiomatic

Published on 22 Mar 2026 - 19:54

score 138 · Answer 2 · 2026-03-20 02:24:56

138

Views

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

Published on 20 Mar 2026 - 2:24

score 347 · Answer 3 · 2026-03-20 00:53:34

347

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

Published on 20 Mar 2026 - 0:53

score 118 · Answer 4 · 2026-03-20 00:54:13

118

Views

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

Published on 20 Mar 2026 - 0:54

score 71 · Answer 5 · 2026-03-23 02:59:27

71

Views

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

Published on 23 Mar 2026 - 2:59

score 260 · Answer 6 · 2026-03-22 20:10:12

260

Views

Is the set of cardinalities totally ordered?

Published on 22 Mar 2026 - 20:10

score 83 · Answer 7 · 2026-03-22 07:29:49

83

Views

Show that $n+\aleph_0=\aleph_0$

Published on 22 Mar 2026 - 7:29

score 132 · Answer 8 · 2026-03-21 01:57:02

132

Views

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

Published on 21 Mar 2026 - 1:57

score 1.7k · Answer 9 · 2026-03-22 17:10:06

1.7k

Views

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

Published on 22 Mar 2026 - 17:10

score 374 · Answer 10 · 2026-03-22 18:30:07

374

Views

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

Published on 22 Mar 2026 - 18:30

score 316 · Answer 11 · 2026-03-21 20:10:21

316

Views

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

Published on 21 Mar 2026 - 20:10

score 345 · Answer 12 · 2026-03-23 09:28:50

345

Views

What is the cardinality of the set of mathematical structures?

Published on 23 Mar 2026 - 9:28

score 155 · Answer 13 · 2026-03-23 14:27:38

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 481 · Answer 14 · 2026-03-22 11:46:08

481

Views

Showing that the cardinality of two power sets are equal

Published on 22 Mar 2026 - 11:46

score 114 · Answer 15 · 2026-03-22 18:27:45

114

Views

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

Published on 22 Mar 2026 - 18:27

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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