Question

Prove the induction axiom via the induction rule

score 86 · Answer 1 · 2020-02-24 07:34:46

86

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Prove the induction axiom via the induction rule

Published on 24 Feb 2020 - 7:34

score 81 · Answer 2 · 2020-02-24 15:08:39

81

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Find all functions that compose with the successor function

Published on 24 Feb 2020 - 15:08

score 122 · Answer 3 · 2020-03-01 01:15:00

122

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Can I do this instead to prove the Strong Principle of Induction (Tao 2.2.14)?

Published on 01 Mar 2020 - 1:15

score 336 · Answer 4 · 2026-03-25 11:14:56

336

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For any natural numbers $a,b,c$, prove the associativity property $(a + b) + c = a + (b + c)$.

Published on 25 Mar 2026 - 11:14

score 125 · Answer 5 · 2020-03-05 04:54:08

125

Views

Let $m,n$ be natural numbers. Then prove the commutativity of the product $n\times m = m\times n$.

Published on 05 Mar 2020 - 4:54

score 71 · Answer 6 · 2020-03-05 20:57:04

71

Views

How do we prove there is no natural number between $a$ and its successor $a\texttt{+}\texttt{+}$?

Published on 05 Mar 2020 - 20:57

score 477 · Answer 7 · 2020-03-07 21:31:53

477

Views

How does the Peano axiom of induction prevent S-loops?

Published on 07 Mar 2020 - 21:31

score 122 · Answer 8 · 2020-03-12 15:09:31

122

Views

A fundamental question about relations between axioms

Published on 12 Mar 2020 - 15:09

score 145 · Answer 9 · 2020-03-17 11:06:35

145

Views

A question about Dedekind-infinite sets and Peano natural integers.

Published on 17 Mar 2020 - 11:06

score 110 · Answer 10 · 2020-03-17 22:34:00

110

Views

How to prove $x=5$ using the Peano Axioms?

Published on 17 Mar 2020 - 22:34

score 351 · Answer 11 · 2020-03-25 03:44:19

351

Views

Is there a natural intermediate version of PA?

Published on 25 Mar 2020 - 3:44

score 117 · Answer 12 · 2020-04-03 15:52:00

117

Views

Peano arithmetic - Why is adding n to m the same as incrementing m n times?

Published on 03 Apr 2020 - 15:52

score 30 · Answer 13 · 2020-04-04 01:46:27

30

Views

Is there a place which has the functional (programming) definition of Numbers in various forms?

Published on 04 Apr 2020 - 1:46

score 194 · Answer 14 · 2020-04-11 18:48:32

194

Views

How do I derive fraction multiplications from Peano axioms

Published on 11 Apr 2020 - 18:48

score 55 · Answer 15 · 2020-04-13 04:05:01

55

Views

Prove trichotomy of order WITHOUT induction?

Published on 13 Apr 2020 - 4:05

List Question

Prove the induction axiom via the induction rule

Find all functions that compose with the successor function

Can I do this instead to prove the Strong Principle of Induction (Tao 2.2.14)?

For any natural numbers $a,b,c$, prove the associativity property $(a + b) + c = a + (b + c)$.

Let $m,n$ be natural numbers. Then prove the commutativity of the product $n\times m = m\times n$.

How do we prove there is no natural number between $a$ and its successor $a\texttt{+}\texttt{+}$?

How does the Peano axiom of induction prevent S-loops?

A fundamental question about relations between axioms

A question about Dedekind-infinite sets and Peano natural integers.

How to prove $x=5$ using the Peano Axioms?

Is there a natural intermediate version of PA?

Peano arithmetic - Why is adding n to m the same as incrementing m n times?

Is there a place which has the functional (programming) definition of Numbers in various forms?

How do I derive fraction multiplications from Peano axioms

Prove trichotomy of order WITHOUT induction?

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