Question

What is Complete Induction without Hypothesis?: Ordering of $\mathbb{N}$ from Peano's Axioms

score 95 · Answer 1 · 2018-08-31 16:06:11

95

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What is Complete Induction without Hypothesis?: Ordering of $\mathbb{N}$ from Peano's Axioms

Published on 31 Aug 2018 - 16:06

score 938 · Answer 2 · 2026-03-25 14:26:11

938

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Existence of Natural Numbers as an Axiom

Published on 25 Mar 2026 - 14:26

score 141 · Answer 3 · 2026-03-23 09:12:54

141

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Why Presburger arithmetic cannot prove pigeonhole principle

Published on 23 Mar 2026 - 9:12

score 806 · Answer 4 · 2026-03-25 01:17:13

806

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Does Gödel's incompleteness theorem invoke a Law of Excluded Middle contradiction?

Published on 25 Mar 2026 - 1:17

score 488 · Answer 5 · 2026-03-25 14:19:15

488

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Bijection between two Peano triples.

Published on 25 Mar 2026 - 14:19

score 255 · Answer 6 · 2018-09-16 21:13:10

255

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Can every true arithmetical sentence be proved from the first-order Peano arithmetic system?

Published on 16 Sep 2018 - 21:13

score 685 · Answer 7 · 2018-09-25 12:28:41

685

Views

Well-orders on non-standard models of Peano arithmetic

Published on 25 Sep 2018 - 12:28

score 282 · Answer 8 · 2026-03-25 14:26:11

282

Views

Using the Definition of Dedekind-Infinite to Replace the Axiom of Infinity

Published on 25 Mar 2026 - 14:26

score 446 · Answer 9 · 2018-10-05 06:17:39

446

Views

Can we prove that the peano axioms are true for $(\mathbb N, \sigma)$ in type theory?

Published on 05 Oct 2018 - 6:17

score 668 · Answer 10 · 2018-10-07 17:53:25

668

Views

What is the best book to learn Peano Arithmetic

Published on 07 Oct 2018 - 17:53

score 139 · Answer 11 · 2018-10-12 12:02:59

139

Views

Definition of nonstandard models without enumerations

Published on 12 Oct 2018 - 12:02

score 50 · Answer 12 · 2018-10-15 10:24:15

50

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Why do we need the following set to have an infinite set?

Published on 15 Oct 2018 - 10:24

score 300 · Answer 13 · 2018-10-28 03:07:00

300

Views

Algebraically Constructing the Natural Numbers Using a Binary Operation Satisfying Some Properties

Published on 28 Oct 2018 - 3:07

score 2.3k · Answer 14 · 2018-11-04 15:51:05

2.3k

Views

Difference between first and second order induction?

Published on 04 Nov 2018 - 15:51

score 913 · Answer 15 · 2026-03-25 13:55:26

913

Views

proof of formula with Peano-axioms

Published on 25 Mar 2026 - 13:55

List Question

What is Complete Induction without Hypothesis?: Ordering of $\mathbb{N}$ from Peano's Axioms

Existence of Natural Numbers as an Axiom

Why Presburger arithmetic cannot prove pigeonhole principle

Does Gödel's incompleteness theorem invoke a Law of Excluded Middle contradiction?

Bijection between two Peano triples.

Can every true arithmetical sentence be proved from the first-order Peano arithmetic system?

Well-orders on non-standard models of Peano arithmetic

Using the Definition of Dedekind-Infinite to Replace the Axiom of Infinity

Can we prove that the peano axioms are true for $(\mathbb N, \sigma)$ in type theory?

What is the best book to learn Peano Arithmetic

Definition of nonstandard models without enumerations

Why do we need the following set to have an infinite set?

Algebraically Constructing the Natural Numbers Using a Binary Operation Satisfying Some Properties

Difference between first and second order induction?

proof of formula with Peano-axioms

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