List questions from cardinals

Published on 07 Nov 2012 - 2:04

170

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A cardinal $\kappa$ such that $2^{\lambda}<\kappa$ for all $\lambda<\kappa$ is regular?

Published on 08 Nov 2012 - 22:40

1.3k

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Comparing the cardinality of sets

Published on 09 Nov 2012 - 17:26

559

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Exercise on partially ordered sets from Kunen's Set Theory

Published on 09 Nov 2012 - 19:43

1.6k

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Can an infinite cardinal number be a sum of two smaller cardinal number?

Published on 07 Apr 2026 - 4:46

187

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Which kind product of non-zero number non-zero cardinal numbers yields zero?

Published on 07 Apr 2026 - 4:45

1.1k

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Infinite Dedekind Finite sets

Published on 07 Apr 2026 - 4:42

767

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Cardinality natural numbers

Published on 10 Apr 2026 - 20:40

753

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A question about the cardinality of the set of all the bijections from $M$ to itself

Published on 11 Apr 2026 - 3:59

1.2k

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Counterexamples to the continuum hypothesis

Published on 18 Nov 2012 - 17:21

561

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Why the principle of counting does not match with our common sense

Published on 11 Apr 2026 - 10:38

441

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Prove that $S$ is countably infinite

Published on 22 Nov 2012 - 6:39

238

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The product of the finite non-zero ordinals, and the product of the finite non-zero cardinals.

Published on 05 Apr 2026 - 14:47

763

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The cofinality of $\aleph_{\omega\cdot9+3}$

Published on 25 Nov 2012 - 17:54

164

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How to understand $\operatorname{cf}(2^{\aleph_0}) > \aleph_0$

Published on 26 Nov 2012 - 6:17

List Question

Cardinality of Sets and Infinite Sets

A cardinal $\kappa$ such that $2^{\lambda}<\kappa$ for all $\lambda<\kappa$ is regular?

Comparing the cardinality of sets

Exercise on partially ordered sets from Kunen's Set Theory

Can an infinite cardinal number be a sum of two smaller cardinal number?

Which kind product of non-zero number non-zero cardinal numbers yields zero?

Infinite Dedekind Finite sets

Cardinality natural numbers

A question about the cardinality of the set of all the bijections from $M$ to itself

Counterexamples to the continuum hypothesis

Why the principle of counting does not match with our common sense

Prove that $S$ is countably infinite

The product of the finite non-zero ordinals, and the product of the finite non-zero cardinals.

The cofinality of $\aleph_{\omega\cdot9+3}$

How to understand $\operatorname{cf}(2^{\aleph_0}) > \aleph_0$

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