Question

How do the terms “countable” and “uncountable” not assume the continuum hypothesis?

score 481 · Answer 1 · 2013-09-16 04:27:53

481

Views

How do the terms “countable” and “uncountable” not assume the continuum hypothesis?

Published on 16 Sep 2013 - 4:27

score 276 · Answer 2 · 2026-04-03 03:36:15

276

Views

Two exercises on set theory about Cantor's equation and the von Neumann hierarchy

Published on 03 Apr 2026 - 3:36

score 755 · Answer 3 · 2026-04-04 12:01:17

755

Views

In ZF, how would the structure of the cardinal numbers change by adopting this definition of cardinality?

Published on 04 Apr 2026 - 12:01

score 555 · Answer 4 · 2026-03-28 10:41:32

555

Views

Proving that $\sf Add$$(\aleph_\omega , 1)$ collapses cardinals $\leq \aleph_\omega$

Published on 28 Mar 2026 - 10:41

score 137 · Answer 5 · 2013-09-26 23:49:24

137

Views

A question dealing with finite unions and type.

Published on 26 Sep 2013 - 23:49

score 3.4k · Answer 6 · 2013-10-01 13:21:38

3.4k

Views

Prove that $(0,1)$ is cardinally equivalent to $[0,1)$

Published on 01 Oct 2013 - 13:21

score 318 · Answer 7 · 2013-10-02 21:51:42

318

Views

How can I quantify over the class of all cardinalities?

Published on 02 Oct 2013 - 21:51

score 521 · Answer 8 · 2013-10-05 04:42:52

521

Views

If $\aleph_\lambda>2^{\aleph_0}$ is a limit cardinal, then $\aleph_\lambda^{\aleph_0}=\aleph_\lambda$?

Published on 05 Oct 2013 - 4:42

score 1.5k · Answer 9 · 2013-10-06 00:29:43

1.5k

Views

Is this set of integer sequences countable?

Published on 06 Oct 2013 - 0:29

score 554 · Answer 10 · 2013-10-06 03:11:27

554

Views

cardinality of the set of all dense subsets of $\Bbb R$

Published on 06 Oct 2013 - 3:11

score 9.7k · Answer 11 · 2013-10-06 21:07:29

9.7k

Views

Proof that aleph null is the smallest transfinite number?

Published on 06 Oct 2013 - 21:07

score 252 · Answer 12 · 2026-04-05 16:16:37

252

Views

Are there countably many infinities?

Published on 05 Apr 2026 - 16:16

score 74 · Answer 13 · 2013-10-07 14:03:19

74

Views

prove $| \cup_n A_n| <\mathfrak{c}$

Published on 07 Oct 2013 - 14:03

score 119 · Answer 14 · 2013-10-08 12:52:01

119

Views

Show that 2S = S for all infinite sets

Published on 08 Oct 2013 - 12:52

score 132 · Answer 15 · 2013-10-13 19:15:37

132

Views

Prove formally that |N| = | N union a finite set |.

Published on 13 Oct 2013 - 19:15

List Question

How do the terms “countable” and “uncountable” not assume the continuum hypothesis?

Two exercises on set theory about Cantor's equation and the von Neumann hierarchy

In ZF, how would the structure of the cardinal numbers change by adopting this definition of cardinality?

Proving that $\sf Add$$(\aleph_\omega , 1)$ collapses cardinals $\leq \aleph_\omega$

A question dealing with finite unions and type.

Prove that $(0,1)$ is cardinally equivalent to $[0,1)$

How can I quantify over the class of all cardinalities?

If $\aleph_\lambda>2^{\aleph_0}$ is a limit cardinal, then $\aleph_\lambda^{\aleph_0}=\aleph_\lambda$?

Is this set of integer sequences countable?

cardinality of the set of all dense subsets of $\Bbb R$

Proof that aleph null is the smallest transfinite number?

Are there countably many infinities?

prove $| \cup_n A_n| <\mathfrak{c}$

Show that 2S = S for all infinite sets

Prove formally that |N| = | N union a finite set |.

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