List questions from cardinals

Published on 25 Nov 2013 - 15:14

123

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Cardinals, bijections, and a general inquiry

Published on 27 Nov 2013 - 14:22

159

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If $\gamma >0,$ then $ \alpha < \beta $ implies that $\gamma \ . \alpha<\gamma \ . \beta$ and that $\alpha \ . \ \gamma \leq \beta \ . \ \gamma.$

Published on 27 Nov 2013 - 17:08

232

Views

How to show that $\mathcal P(\Bbb N)\sim\mathcal P(\Bbb N)^\Bbb N$?

Published on 28 Nov 2013 - 9:55

98

Views

A seeming absurdity

Published on 30 Nov 2013 - 8:34

429

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Show that $2^\mathbb{N} $ is equinumerous with $2^\mathbb{N\times N} $.

Published on 03 Dec 2013 - 22:06

634

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For all infinite cardinals $\kappa, \ (\kappa \times \kappa, <_{cw}) \cong (\kappa, \in).$

Published on 03 Apr 2026 - 8:14

1.1k

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Why $\omega+1$ and $\omega^2$ are not cardinal numbers?

Published on 03 Apr 2026 - 8:18

780

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Jech's proof of Silver's Theorem on SCH

Published on 06 Dec 2013 - 0:34

1.4k

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Does cardinality really have something to do with the number of elements in a infinite set?

Published on 06 Dec 2013 - 20:47

122

Views

Elementary set theory - are these sets empty?

Published on 07 Dec 2013 - 14:09

68

Views

cardinality of finite subset

Published on 07 Dec 2013 - 17:00

2.8k

Views

What is the cardinality of $\omega^\omega$?

Published on 05 Apr 2026 - 21:27

661

Views

Does $a \le b$ imply $a+c\le b+c$ for cardinal numbers?

Published on 08 Dec 2013 - 20:54

281

Views

$\mathrm{card} ( \mathbb{Q})=\mathrm{card}( \mathbb{Q^c})$: Overcoming Wrong Intuition

Published on 29 Mar 2026 - 21:50

List Question

cardinal of a quotient space

Cardinals, bijections, and a general inquiry

If $\gamma >0,$ then $ \alpha < \beta $ implies that $\gamma \ . \alpha<\gamma \ . \beta$ and that $\alpha \ . \ \gamma \leq \beta \ . \ \gamma.$

How to show that $\mathcal P(\Bbb N)\sim\mathcal P(\Bbb N)^\Bbb N$?

A seeming absurdity

Show that $2^\mathbb{N} $ is equinumerous with $2^\mathbb{N\times N} $.

For all infinite cardinals $\kappa, \ (\kappa \times \kappa, <_{cw}) \cong (\kappa, \in).$

Why $\omega+1$ and $\omega^2$ are not cardinal numbers?

Jech's proof of Silver's Theorem on SCH

Does cardinality really have something to do with the number of elements in a infinite set?

Elementary set theory - are these sets empty?

cardinality of finite subset

What is the cardinality of $\omega^\omega$?

Does $a \le b$ imply $a+c\le b+c$ for cardinal numbers?

$\mathrm{card} ( \mathbb{Q})=\mathrm{card}( \mathbb{Q^c})$: Overcoming Wrong Intuition

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