Question

How to justify the necessity of the Axioms?

score 153 · Answer 1 · 2026-03-29 22:40:40

153

Views

How to justify the necessity of the Axioms?

Published on 29 Mar 2026 - 22:40

score 187 · Answer 2 · 2022-04-21 23:10:44

187

Views

Why Hilbert's 24th Problem is unsolvable?

Published on 21 Apr 2022 - 23:10

score 173 · Answer 3 · 2022-04-28 00:58:34

173

Views

Equality in category theory seems poorly defined to me

Published on 28 Apr 2022 - 0:58

score 185 · Answer 4 · 2022-04-28 02:50:42

185

Views

How is circumscribing a triangle equivalent to the Parallel Postulate?

Published on 28 Apr 2022 - 2:50

score 87 · Answer 5 · 2022-05-05 10:27:32

87

Views

What is the rationale for selecting the value "one" as the probability of sample space?

Published on 05 May 2022 - 10:27

score 42 · Answer 6 · 2026-04-04 01:48:20

42

Views

Relationship between Axiomatic geometry and Hyperbolic geometry

Published on 04 Apr 2026 - 1:48

score 42 · Answer 7 · 2022-05-09 22:26:18

42

Views

Is $-\vec{v}$ in vector space axioms mean $-1$ multiplied with $\vec{v}$?

Published on 09 May 2022 - 22:26

score 210 · Answer 8 · 2022-05-10 11:31:24

210

Views

Meaning of notation S(x) in set theory

Published on 10 May 2022 - 11:31

score 68 · Answer 9 · 2022-05-15 07:55:37

68

Views

Is it valid/useful to prove statement $X$ by finding $Y$ such that $Y\to X$ and $\lnot Y\to X$?

Published on 15 May 2022 - 7:55

score 119 · Answer 10 · 2022-05-15 17:36:03

119

Views

Is this theory trying to capture the theory of the minimal model of ZFC correctly formalized?

Published on 15 May 2022 - 17:36

score 76 · Answer 11 · 2026-03-26 14:31:40

76

Views

Showing Euclid's Proposition 30 ("Lines parallel to the same line are parallel to each other") is equivalent to the 5th Postulate.

Published on 26 Mar 2026 - 14:31

score 165 · Answer 12 · 2022-05-30 15:43:16

165

Views

A question about the axiom schema of separation

Published on 30 May 2022 - 15:43

score 81 · Answer 13 · 2026-02-24 05:07:39

81

Views

Why can't we devise a sufficiently simple mathematical system such that it is provably consistent?

Published on 24 Feb 2026 - 5:07

score 181 · Answer 14 · 2022-06-12 08:19:02

181

Views

A dumb axiom of collection

Published on 12 Jun 2022 - 8:19

score 69 · Answer 15 · 2022-06-23 10:32:54

69

Views

Can this choice-collection principle prove the well ordering theorem without power set axiom?

Published on 23 Jun 2022 - 10:32

List Question

How to justify the necessity of the Axioms?

Why Hilbert's 24th Problem is unsolvable?

Equality in category theory seems poorly defined to me

How is circumscribing a triangle equivalent to the Parallel Postulate?

What is the rationale for selecting the value "one" as the probability of sample space?

Relationship between Axiomatic geometry and Hyperbolic geometry

Is $-\vec{v}$ in vector space axioms mean $-1$ multiplied with $\vec{v}$?

Meaning of notation S(x) in set theory

Is it valid/useful to prove statement $X$ by finding $Y$ such that $Y\to X$ and $\lnot Y\to X$?

Is this theory trying to capture the theory of the minimal model of ZFC correctly formalized?

Showing Euclid's Proposition 30 ("Lines parallel to the same line are parallel to each other") is equivalent to the 5th Postulate.

A question about the axiom schema of separation

Why can't we devise a sufficiently simple mathematical system such that it is provably consistent?

A dumb axiom of collection

Can this choice-collection principle prove the well ordering theorem without power set axiom?

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