Question

weakening of Fodor's theorem

score 170 · Answer 1 · 2026-03-28 17:40:28

170

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weakening of Fodor's theorem

Published on 28 Mar 2026 - 17:40

score 1.2k · Answer 2 · 2016-11-24 11:25:43

1.2k

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Prove that $ \mathbb{R}$ and the interval [0,1 ] have the same cardinality.

Published on 24 Nov 2016 - 11:25

score 124 · Answer 3 · 2016-11-29 14:53:09

124

Views

SCH,singular cardinal hypothesis, GCH, relationship

Published on 29 Nov 2016 - 14:53

score 1.3k · Answer 4 · 2016-11-30 05:48:05

1.3k

Views

Boundary of the set $\{(n,{1\over n}):n\in \mathbb N\}$ in $\mathbb N\times \mathbb Q$

Published on 30 Nov 2016 - 5:48

score 42 · Answer 5 · 2016-11-30 16:40:02

42

Views

Is there any value $n$ such that the number of sets of size $n$ is neither $0$ nor $1$ nor $\infty$?

Published on 30 Nov 2016 - 16:40

score 433 · Answer 6 · 2026-03-30 00:53:10

433

Views

Cardinality of infinite sequences of $0$ and $1$ $\geq |\mathbb{R}|$

Published on 30 Mar 2026 - 0:53

score 29 · Answer 7 · 2016-12-02 04:07:00

29

Views

How to subtruct countable sequence from countable sequence

Published on 02 Dec 2016 - 4:07

score 71 · Answer 8 · 2016-12-03 00:39:46

71

Views

Proving set cardinality

Published on 03 Dec 2016 - 0:39

score 89 · Answer 9 · 2016-12-03 09:30:27

89

Views

Prove: $|\mathcal{P}( \{0, 1\}\mbox{*}) |=|\left[0, 1\right]|$

Published on 03 Dec 2016 - 9:30

score 373 · Answer 10 · 2026-03-28 21:25:57

373

Views

Weak Compactness Theorem - Weakly Compact Cardinals

Published on 28 Mar 2026 - 21:25

score 781 · Answer 11 · 2026-03-26 20:44:33

781

Views

Specific axioms under which the continuum hypothesis is true or false

Published on 26 Mar 2026 - 20:44

score 646 · Answer 12 · 2016-12-07 03:29:55

646

Views

Suppose A, B and C are sets such that #A=#B. Is it true that #(A x C) =#(B x C)? If it is, prove that.

Published on 07 Dec 2016 - 3:29

score 23 · Answer 13 · 2016-12-07 23:13:33

23

Views

Counter example to show that $ s(X) \le d(X) $

Published on 07 Dec 2016 - 23:13

score 114 · Answer 14 · 2016-12-08 17:47:34

114

Views

If $A\approx B$ , $C\approx D$ and $A \cap C \approx B \cap D$ is it true that $A \cup C \approx B \cup D$?

Published on 08 Dec 2016 - 17:47

score 388 · Answer 15 · 2016-12-11 21:49:45

388

Views

Using Cantor-Schroder-Bernstein Theorem to prove a statement (with my proposal)

Published on 11 Dec 2016 - 21:49

List Question

weakening of Fodor's theorem

Prove that $ \mathbb{R}$ and the interval [0,1 ] have the same cardinality.

SCH,singular cardinal hypothesis, GCH, relationship

Boundary of the set $\{(n,{1\over n}):n\in \mathbb N\}$ in $\mathbb N\times \mathbb Q$

Is there any value $n$ such that the number of sets of size $n$ is neither $0$ nor $1$ nor $\infty$?

Cardinality of infinite sequences of $0$ and $1$ $\geq |\mathbb{R}|$

How to subtruct countable sequence from countable sequence

Proving set cardinality

Prove: $|\mathcal{P}( \{0, 1\}\mbox{*}) |=|\left[0, 1\right]|$

Weak Compactness Theorem - Weakly Compact Cardinals

Specific axioms under which the continuum hypothesis is true or false

Suppose A, B and C are sets such that #A=#B. Is it true that #(A x C) =#(B x C)? If it is, prove that.

Counter example to show that $ s(X) \le d(X) $

If $A\approx B$ , $C\approx D$ and $A \cap C \approx B \cap D$ is it true that $A \cup C \approx B \cup D$?

Using Cantor-Schroder-Bernstein Theorem to prove a statement (with my proposal)

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