Question

cardinality proof: prove that for any set $A, \ 2^{|A|} \neq |\mathbb{N}|$

score 275 · Answer 1 · 2019-02-24 16:59:15

275

Views

cardinality proof: prove that for any set $A, \ 2^{|A|} \neq |\mathbb{N}|$

Published on 24 Feb 2019 - 16:59

score 84 · Answer 2 · 2019-02-24 23:38:32

84

Views

Cardinality of $A$ and the Natural Numbers

Published on 24 Feb 2019 - 23:38

score 18 · Answer 3 · 2026-03-23 01:05:04

$X \subset \mathbb{R}_{>0}$ exists $C$ for every $\{x_1, ..., x_n\} \subset X$ $\sum^{n}_{i=1} x_i<C$ Then $X$ is countable

score 300 · Answer 4 · 2019-03-13 04:52:49

300

Views

Two well orderings of an infinite cardinal agree on a large set

Published on 13 Mar 2019 - 4:52

score 47 · Answer 5 · 2019-03-13 08:35:15

47

Views

for any infinite set A, |A| >= |N|

Published on 13 Mar 2019 - 8:35

score 295 · Answer 6 · 2026-03-25 17:26:23

295

Views

Diagonal argument applied to computable numbers

Published on 25 Mar 2026 - 17:26

score 23 · Answer 7 · 2019-03-13 20:16:55

23

Views

S is a possibly infinite set. Prove |S| < |P(S)|

Published on 13 Mar 2019 - 20:16

score 129 · Answer 8 · 2019-03-17 23:32:44

129

Views

Problem of cardinal assignment

Published on 17 Mar 2019 - 23:32

score 60 · Answer 9 · 2019-03-18 00:35:04

60

Views

Proving $|A\cup B|\le_c |A|+|B|$

Published on 18 Mar 2019 - 0:35

score 102 · Answer 10 · 2026-03-26 11:18:03

102

Views

How can I prove that if $\alpha$ is an ordinal, then there is an initial ordinal $\kappa$ such that $|\alpha|=|\kappa|$?

Published on 26 Mar 2026 - 11:18

score 143 · Answer 11 · 2026-03-26 08:14:56

143

Views

order type of club - cofinality

Published on 26 Mar 2026 - 8:14

score 33 · Answer 12 · 2019-03-18 23:33:45

33

Views

$\lambda\le_c\mu\implies \kappa^\lambda\le_c\kappa^\mu$

Published on 18 Mar 2019 - 23:33

score 49 · Answer 13 · 2019-03-19 02:02:48

49

Views

$\kappa\cdot\sum_{i\in I}\lambda_i=_c\sum_{i\in I} \kappa\cdot \lambda_i$

Published on 19 Mar 2019 - 2:02

score 47 · Answer 14 · 2019-03-19 09:13:46

47

Views

Show $\left| \{H,T\ \}^{\oplus \mathbb{N} }\right| = \left| \mathbb{R}^{\mathbb{N} }\right|$

Published on 19 Mar 2019 - 9:13

score 646 · Answer 15 · 2026-03-26 03:13:36

646

Views

Using union of countably infinite sets, I tried to prove that set of all real numbers in [0,1) is countable

Published on 26 Mar 2026 - 3:13

List Question

cardinality proof: prove that for any set $A, \ 2^{|A|} \neq |\mathbb{N}|$

Cardinality of $A$ and the Natural Numbers

$X \subset \mathbb{R}_{>0}$ exists $C$ for every $\{x_1, ..., x_n\} \subset X$ $\sum^{n}_{i=1} x_i<C$ Then $X$ is countable

Two well orderings of an infinite cardinal agree on a large set

for any infinite set A, |A| >= |N|

Diagonal argument applied to computable numbers

S is a possibly infinite set. Prove |S| < |P(S)|

Problem of cardinal assignment

Proving $|A\cup B|\le_c |A|+|B|$

How can I prove that if $\alpha$ is an ordinal, then there is an initial ordinal $\kappa$ such that $|\alpha|=|\kappa|$?

order type of club - cofinality

$\lambda\le_c\mu\implies \kappa^\lambda\le_c\kappa^\mu$

$\kappa\cdot\sum_{i\in I}\lambda_i=_c\sum_{i\in I} \kappa\cdot \lambda_i$

Show $\left| \{H,T\ \}^{\oplus \mathbb{N} }\right| = \left| \mathbb{R}^{\mathbb{N} }\right|$

Using union of countably infinite sets, I tried to prove that set of all real numbers in [0,1) is countable

Trending Questions

Popular # Hahtags

Popular Questions