Question

Prove that, if n sets are countably infinite, then the Cartesian product of all the sets is countably infinite.

score 77 · Answer 1 · 2021-12-20 19:07:27

Prove that, if n sets are countably infinite, then the Cartesian product of all the sets is countably infinite.

score 196 · Answer 2 · 2021-12-23 01:56:25

196

Views

Prove that the set of equivalence classes generated by ~ is uncountable

Published on 23 Dec 2021 - 1:56

score 156 · Answer 3 · 2026-03-28 13:21:23

156

Views

Why this works for proving ZF axioms system is free of Russell's paradox?

Published on 28 Mar 2026 - 13:21

score 116 · Answer 4 · 2022-01-01 20:56:22

116

Views

What's wrong with defining functions as rules?

Published on 01 Jan 2022 - 20:56

score 588 · Answer 5 · 2022-01-02 12:32:14

588

Views

Most presentations of ZF seem to be incomplete

Published on 02 Jan 2022 - 12:32

score 163 · Answer 6 · 2022-01-16 05:18:44

163

Views

Is set theory still interesting without replacement?

Published on 16 Jan 2022 - 5:18

score 83 · Answer 7 · 2022-01-19 18:48:13

83

Views

Is classical projective geometry, or a theory of the real projective plane, complete?

Published on 19 Jan 2022 - 18:48

score 86 · Answer 8 · 2022-01-26 00:04:36

86

Views

What mathematical branch doesn't use the definition of function?

Published on 26 Jan 2022 - 0:04

score 154 · Answer 9 · 2022-02-08 17:22:04

154

Views

Can we prove "induction on wffs" in a non-circular way?

Published on 08 Feb 2022 - 17:22

score 95 · Answer 10 · 2022-02-16 17:51:52

95

Views

Proving $n\not\in n$ for $n\in\mathbb N$ without regularity

Published on 16 Feb 2022 - 17:51

score 275 · Answer 11 · 2026-03-30 20:50:07

275

Views

Mathematicians endorsing platonism -- examples?

Published on 30 Mar 2026 - 20:50

score 146 · Answer 12 · 2022-03-02 05:21:02

146

Views

Foundation of mathematics and functions

Published on 02 Mar 2022 - 5:21

score 74 · Answer 13 · 2022-03-05 23:32:30

74

Views

Why is the collection of all finite sets of natural numbers not sigma-ideal on N?

Published on 05 Mar 2022 - 23:32

score 224 · Answer 14 · 2026-03-25 09:49:24

224

Views

Is there a constructive presentation of the Henstock-Kurzweil integral?

Published on 25 Mar 2026 - 9:49

score 350 · Answer 15 · 2026-04-01 03:45:49

350

Views

Why does my topology textbook (Munkres) define positive integers as the intersection of all inductive subsets of the reals?

Published on 01 Apr 2026 - 3:45

List Question

Prove that, if n sets are countably infinite, then the Cartesian product of all the sets is countably infinite.

Prove that the set of equivalence classes generated by ~ is uncountable

Why this works for proving ZF axioms system is free of Russell's paradox?

What's wrong with defining functions as rules?

Most presentations of ZF seem to be incomplete

Is set theory still interesting without replacement?

Is classical projective geometry, or a theory of the real projective plane, complete?

What mathematical branch doesn't use the definition of function?

Can we prove "induction on wffs" in a non-circular way?

Proving $n\not\in n$ for $n\in\mathbb N$ without regularity

Mathematicians endorsing platonism -- examples?

Foundation of mathematics and functions

Why is the collection of all finite sets of natural numbers not sigma-ideal on N?

Is there a constructive presentation of the Henstock-Kurzweil integral?

Why does my topology textbook (Munkres) define positive integers as the intersection of all inductive subsets of the reals?

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