Question

Let $F$ be the set of all finite subsets of $A$; prove that $\operatorname{card}(F)=\operatorname{card}(A)$

score 40 · Answer 1 · 2023-02-09 15:44:27

40

Views

Let $F$ be the set of all finite subsets of $A$; prove that $\operatorname{card}(F)=\operatorname{card}(A)$

Published on 09 Feb 2023 - 15:44

score 144 · Answer 2 · 2023-02-10 13:56:56

144

Views

Prove that cardinal of $\mathbb{R} \neq \mathbb{N}$ without Cantor diagonal argument

Published on 10 Feb 2023 - 13:56

score 965 · Answer 3 · 2023-02-11 03:15:05

965

Views

Are most real functions non-linear?

Published on 11 Feb 2023 - 3:15

score 73 · Answer 4 · 2023-02-16 09:05:18

73

Views

Can all cardinalities of classes of MK be sets?

Published on 16 Feb 2023 - 9:05

score 53 · Answer 5 · 2026-03-25 15:39:17

53

Views

How many second-countable $T_1$ spaces are there?

Published on 25 Mar 2026 - 15:39

score 631 · Answer 6 · 2026-03-27 00:04:34

631

Views

Can free groups on different cardinals be isomorphic in ZF?

Published on 27 Mar 2026 - 0:04

score 77 · Answer 7 · 2023-02-22 12:34:44

77

Views

Arithmetic properties of cardinality of unions

Published on 22 Feb 2023 - 12:34

score 73 · Answer 8 · 2026-03-29 03:44:28

73

Views

Why is $|W(\omega_1)| = |\mathbb{R}|$?

Published on 29 Mar 2026 - 3:44

score 290 · Answer 9 · 2023-02-25 11:59:45

290

Views

For infinite cardinal $\kappa$, $\kappa$ . $\kappa$ = $\kappa$ . Set Theory Enderton p-162, Lemma 6R

Published on 25 Feb 2023 - 11:59

score 122 · Answer 10 · 2026-03-26 12:40:50

122

Views

Is Lagrange group theorem still valid for infinite groups?

Published on 26 Mar 2026 - 12:40

score 52 · Answer 11 · 2026-03-30 14:41:19

52

Views

For what cardinals does exponentiation by a smaller cardinal is idempotent.

Published on 30 Mar 2026 - 14:41

score 182 · Answer 12 · 2023-03-07 00:38:19

182

Views

Is there a function $f: \mathbb{Q} \rightarrow \mathbb{N}$ that is surjective but not injective?

Published on 07 Mar 2023 - 0:38

score 323 · Answer 13 · 2026-03-25 11:10:03

323

Views

How many 2D objects fit into a 3D object?

Published on 25 Mar 2026 - 11:10

score 71 · Answer 14 · 2023-03-11 16:48:29

71

Views

What are the basics for notation used in cardinal arithmetic?

Published on 11 Mar 2023 - 16:48

score 651 · Answer 15 · 2026-03-26 19:24:12

651

Views

Why do we need "canonical" well-orders?

Published on 26 Mar 2026 - 19:24

List Question

Let $F$ be the set of all finite subsets of $A$; prove that $\operatorname{card}(F)=\operatorname{card}(A)$

Prove that cardinal of $\mathbb{R} \neq \mathbb{N}$ without Cantor diagonal argument

Are most real functions non-linear?

Can all cardinalities of classes of MK be sets?

How many second-countable $T_1$ spaces are there?

Can free groups on different cardinals be isomorphic in ZF?

Arithmetic properties of cardinality of unions

Why is $|W(\omega_1)| = |\mathbb{R}|$?

For infinite cardinal $\kappa$, $\kappa$ . $\kappa$ = $\kappa$ . Set Theory Enderton p-162, Lemma 6R

Is Lagrange group theorem still valid for infinite groups?

For what cardinals does exponentiation by a smaller cardinal is idempotent.

Is there a function $f: \mathbb{Q} \rightarrow \mathbb{N}$ that is surjective but not injective?

How many 2D objects fit into a 3D object?

What are the basics for notation used in cardinal arithmetic?

Why do we need "canonical" well-orders?

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