Question

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

score 557 · Answer 1 · 2018-04-01 20:30:05

557

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

Published on 01 Apr 2018 - 20:30

score 1.2k · Answer 2 · 2018-04-02 05:11:04

1.2k

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

Published on 02 Apr 2018 - 5:11

score 11.2k · Answer 3 · 2026-03-21 20:34:33

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 21 Mar 2026 - 20:34

score 104 · Answer 4 · 2026-03-24 23:46:14

104

Views

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

Published on 24 Mar 2026 - 23:46

score 76 · Answer 5 · 2018-04-08 18:39:34

76

Views

Axiom of dependent choice in König's lemma

Published on 08 Apr 2018 - 18:39

score 145 · Answer 6 · 2026-03-22 07:38:58

145

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

Published on 22 Mar 2026 - 7:38

score 295 · Answer 7 · 2026-03-16 23:09:47

295

Views

The Deep Structure of the Real line

Published on 16 Mar 2026 - 23:09

score 100 · Answer 8 · 2018-04-13 08:08:19

100

Views

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 13 Apr 2018 - 8:08

score 210 · Answer 9 · 2018-04-16 21:13:45

210

Views

Deriving properties of the exp function from definition

Published on 16 Apr 2018 - 21:13

score 80 · Answer 10 · 2018-04-21 09:02:56

80

Views

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

Published on 21 Apr 2018 - 9:02

score 1.1k · Answer 11 · 2018-04-21 09:34:32

1.1k

Views

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

Published on 21 Apr 2018 - 9:34

score 472 · Answer 12 · 2018-04-26 05:37:25

472

Views

Axiom System: Lukasiewicz

Published on 26 Apr 2018 - 5:37

score 1.1k · Answer 13 · 2026-03-24 23:45:53

1.1k

Views

Why do finitists reject the axiom of infinity?

Published on 24 Mar 2026 - 23:45

score 196 · Answer 14 · 2018-05-01 08:36:32

196

Views

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

Published on 01 May 2018 - 8:36

score 75 · Answer 15 · 2018-05-01 14:47:23

75

Views

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

Published on 01 May 2018 - 14:47

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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