Question

Advantages and disadvantages of Hilbert's axiomatic system of Euclidean geometry

score 560 · Answer 1 · 2026-04-15 14:37:27

560

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Advantages and disadvantages of Hilbert's axiomatic system of Euclidean geometry

Published on 15 Apr 2026 - 14:37

score 1.2k · Answer 2 · 2026-04-11 20:39:06

1.2k

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Why isn't the axiom of extensionality considered a definition of equality?

Published on 11 Apr 2026 - 20:39

score 11.2k · Answer 3 · 2026-03-25 06:03:29

11.2k

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prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

Published on 25 Mar 2026 - 6:03

score 106 · Answer 4 · 2026-04-16 15:49:58

106

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A finite axiomatization of $\mathbb N$ and two non-standard models

Published on 16 Apr 2026 - 15:49

score 79 · Answer 5 · 2026-04-13 09:38:35

79

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Axiom of dependent choice in König's lemma

Published on 13 Apr 2026 - 9:38

score 150 · Answer 6 · 2026-04-29 23:31:23

150

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$\mathbb{R}^2$ and the axiom of choice

Published on 29 Apr 2026 - 23:31

score 301 · Answer 7 · 2026-04-29 12:55:16

301

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The Deep Structure of the Real line

Published on 29 Apr 2026 - 12:55

score 103 · Answer 8 · 2026-04-17 08:44:49

103

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Is it axiom (implicit or explicit) that result of division (f(x) - f(x1)) / (x - x1) for x not equal to x1, is also true for x = x1?

Published on 17 Apr 2026 - 8:44

score 212 · Answer 9 · 2026-04-09 14:19:10

212

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Deriving properties of the exp function from definition

Published on 09 Apr 2026 - 14:19

score 83 · Answer 10 · 2026-04-14 07:54:09

83

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Is an equivalence relation (= sign) needed for the real number system or is a consequence of the other axioms?

Published on 14 Apr 2026 - 7:54

score 1.1k · Answer 11 · 2026-04-16 20:03:41

1.1k

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Proving the 'additive inverse' and 'zero vector' axiom for vector space.

Published on 16 Apr 2026 - 20:03

score 479 · Answer 12 · 2026-04-17 13:02:50

479

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Axiom System: Lukasiewicz

Published on 17 Apr 2026 - 13:02

score 1.1k · Answer 13 · 2026-05-10 14:57:01

1.1k

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Why do finitists reject the axiom of infinity?

Published on 10 May 2026 - 14:57

score 199 · Answer 14 · 2026-04-16 16:11:34

199

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Prove $\Bbb{N}$ is infinite from Peano axioms

Published on 16 Apr 2026 - 16:11

score 78 · Answer 15 · 2026-04-15 13:23:01

78

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Are theories in standard mathematics defined on sets or on collections?

Published on 15 Apr 2026 - 13:23

List Question

Advantages and disadvantages of Hilbert's axiomatic system of Euclidean geometry

Why isn't the axiom of extensionality considered a definition of equality?

prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

A finite axiomatization of $\mathbb N$ and two non-standard models

Axiom of dependent choice in König's lemma

$\mathbb{R}^2$ and the axiom of choice

The Deep Structure of the Real line

Is it axiom (implicit or explicit) that result of division (f(x) - f(x1)) / (x - x1) for x not equal to x1, is also true for x = x1?

Deriving properties of the exp function from definition

Is an equivalence relation (= sign) needed for the real number system or is a consequence of the other axioms?

Proving the 'additive inverse' and 'zero vector' axiom for vector space.

Axiom System: Lukasiewicz

Why do finitists reject the axiom of infinity?

Prove $\Bbb{N}$ is infinite from Peano axioms

Are theories in standard mathematics defined on sets or on collections?

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