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a question about analysis, how to find the largest cardinality in the following examples

score 362 · Answer 1 · 2015-07-21 20:43:48

362

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a question about analysis, how to find the largest cardinality in the following examples

Published on 21 Jul 2015 - 20:43

score 131 · Answer 2 · 2026-03-26 07:32:31

131

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Height of an ordered field

Published on 26 Mar 2026 - 7:32

score 917 · Answer 3 · 2026-03-29 05:34:55

917

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What is the cardinality of the set of roots of unity?

Published on 29 Mar 2026 - 5:34

score 319 · Answer 4 · 2015-07-22 17:02:57

319

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Cardinal Exponentiation Inequality

Published on 22 Jul 2015 - 17:02

score 74 · Answer 5 · 2015-07-25 13:41:12

74

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Show that there exists a sequence of functions $\{f_n:[0,1]\to\mathbb C\}$ satisfying the given condition.

Published on 25 Jul 2015 - 13:41

score 175 · Answer 6 · 2015-07-27 00:18:10

175

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Cardinality of a set of natural sequences

Published on 27 Jul 2015 - 0:18

score 6.9k · Answer 7 · 2015-07-27 03:31:42

6.9k

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$S$ and $T$ are two sets. Prove that if $|S-T|=|T-S|$, then $|S|=|T|$.

Published on 27 Jul 2015 - 3:31

score 1k · Answer 8 · 2026-03-30 22:59:01

1k

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Can a number have an uncountably infinite amount of digits?

Published on 30 Mar 2026 - 22:59

score 266 · Answer 9 · 2015-08-03 12:54:26

266

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Proving that $(\omega_n)^\omega=\omega_n$ providing CH but not GCH

Published on 03 Aug 2015 - 12:54

score 79 · Answer 10 · 2026-04-03 06:08:58

79

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Can it be proved without the axiom of choice that every cardinal is comparable with every finite cardinal?

Published on 03 Apr 2026 - 6:08

score 1.1k · Answer 11 · 2015-08-04 20:46:37

1.1k

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What is the cardinality of $L^p(\mathbb R)$, $1 \le p < \infty$?

Published on 04 Aug 2015 - 20:46

score 80 · Answer 12 · 2015-08-05 00:50:02

80

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Is this proof by induction that $|\Bbb Q^n|=\aleph_0$ correct?

Published on 05 Aug 2015 - 0:50

score 138 · Answer 13 · 2015-08-06 23:47:29

138

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Find the cardinality of $S=\{(x,y) \in \Bbb R^2 : 2x+3y<5\}$.

Published on 06 Aug 2015 - 23:47

score 40 · Answer 14 · 2015-08-07 00:16:03

40

Views

Confused by how to proof some statements about cardinals

Published on 07 Aug 2015 - 0:16

score 940 · Answer 15 · 2026-04-01 11:21:33

940

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Why do we distinguish between infinite cardinalities but not between infinite values?

Published on 01 Apr 2026 - 11:21

List Question

a question about analysis, how to find the largest cardinality in the following examples

Height of an ordered field

What is the cardinality of the set of roots of unity?

Cardinal Exponentiation Inequality

Show that there exists a sequence of functions $\{f_n:[0,1]\to\mathbb C\}$ satisfying the given condition.

Cardinality of a set of natural sequences

$S$ and $T$ are two sets. Prove that if $|S-T|=|T-S|$, then $|S|=|T|$.

Can a number have an uncountably infinite amount of digits?

Proving that $(\omega_n)^\omega=\omega_n$ providing CH but not GCH

Can it be proved without the axiom of choice that every cardinal is comparable with every finite cardinal?

What is the cardinality of $L^p(\mathbb R)$, $1 \le p < \infty$?

Is this proof by induction that $|\Bbb Q^n|=\aleph_0$ correct?

Find the cardinality of $S=\{(x,y) \in \Bbb R^2 : 2x+3y<5\}$.

Confused by how to proof some statements about cardinals

Why do we distinguish between infinite cardinalities but not between infinite values?

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