List questions from cardinals

Published on 27 Mar 2026 - 8:16

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Cardinality of all compact metric spaces

Published on 02 Jun 2014 - 12:44

244

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For all finite sets $A$ and $B$, $\{ f:B\to A \}$ is finite and its (finite) cardinality is $|A|^{|B|}$.

Published on 04 Jun 2014 - 0:25

616

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Question about partitions in intervals of the real numbers.

Published on 26 Mar 2026 - 12:47

3.3k

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Is there a largest large cardinal?

Published on 06 Jun 2014 - 5:13

322

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Why are large cardinal axioms actually axioms?

Published on 06 Jun 2014 - 5:19

222

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How far is it possible to develop cardinals without ordinals?

Published on 08 Jun 2014 - 7:57

86

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Behaviour of sum of $2^\kappa$ for all $\kappa<\lambda$ when $\lambda$ is singular

Published on 08 Jun 2014 - 17:19

1k

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show that for an infinite cardinal $k$, $k + k = k$

Published on 09 Jun 2014 - 23:02

90

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Show that $\left|X\right|=\left|Y\right|$

Published on 15 Jun 2014 - 10:55

63

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Cardinality of a set with a recurrence relation.

Published on 15 Jun 2014 - 12:34

44

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How to show $A_1 \approx A_2 \iff \mathrm{card}(A_1)=\mathrm{card}(A_2)$

Published on 27 Mar 2026 - 8:16

73

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Why this function defines a bijection?

Published on 15 Jun 2014 - 19:42

806

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Covering $\mathbb R^2$ with function graphs

Published on 17 Jun 2014 - 3:43

46

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Find the number of vertices in the graph

Published on 17 Jun 2014 - 16:46

List Question

Raising a partial function to the power of an ordinal

Cardinality of all compact metric spaces

For all finite sets $A$ and $B$, $\{ f:B\to A \}$ is finite and its (finite) cardinality is $|A|^{|B|}$.

Question about partitions in intervals of the real numbers.

Is there a largest large cardinal?

Why are large cardinal axioms actually axioms?

How far is it possible to develop cardinals without ordinals?

Behaviour of sum of $2^\kappa$ for all $\kappa<\lambda$ when $\lambda$ is singular

show that for an infinite cardinal $k$, $k + k = k$

Show that $\left|X\right|=\left|Y\right|$

Cardinality of a set with a recurrence relation.

How to show $A_1 \approx A_2 \iff \mathrm{card}(A_1)=\mathrm{card}(A_2)$

Why this function defines a bijection?

Covering $\mathbb R^2$ with function graphs

Find the number of vertices in the graph

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