Question

How to prove that $+$ is commutative on the natural numbers?

score 780 · Answer 1 · 2026-03-29 05:35:08

780

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How to prove that $+$ is commutative on the natural numbers?

Published on 29 Mar 2026 - 5:35

score 102 · Answer 2 · 2013-02-13 03:31:52

Determine with a proof the largest number which can be written as a product of natural numbers which have sum 2012

score 4.6k · Answer 3 · 2013-02-19 19:39:25

4.6k

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What is the relationship between any natural number and two other natural numbers?

Published on 19 Feb 2013 - 19:39

score 366 · Answer 4 · 2013-03-04 18:43:46

366

Views

Sequences of Natural Numbers without Arithmetic Subsequences

Published on 04 Mar 2013 - 18:43

score 778 · Answer 5 · 2013-03-12 21:12:40

778

Views

Existence of a sequence that has every element of $\mathbb N$ infinite number of times

Published on 12 Mar 2013 - 21:12

score 99 · Answer 6 · 2013-03-22 16:56:35

99

Views

Why this happens with numbers of Mersenne type that are prime?

Published on 22 Mar 2013 - 16:56

score 631 · Answer 7 · 2013-03-25 13:57:45

631

Views

associativity of multipication of natural numbers

Published on 25 Mar 2013 - 13:57

score 569 · Answer 8 · 2013-03-29 10:37:16

569

Views

Creating the set of natural numbers

Published on 29 Mar 2013 - 10:37

score 47 · Answer 9 · 2020-08-01 20:09:10

47

Views

natural numbers satisfying the equation...

Published on 01 Aug 2020 - 20:09

score 300 · Answer 10 · 2026-03-29 07:19:50

300

Views

Prove that the entire underlying set in a Peano System with the strict order relation($<$) forms a unique strictly ascending sequence

Published on 29 Mar 2026 - 7:19

score 82 · Answer 11 · 2020-08-02 14:51:22

82

Views

What is the range of $x,y,z$ when $n$ is a known natural number in: $n=x^5+y^5+z^5$

Published on 02 Aug 2020 - 14:51

score 60 · Answer 12 · 2026-03-29 07:19:32

60

Views

Prove that if a set (in a Peano System) is bounded above then it have a greatest element

Published on 29 Mar 2026 - 7:19

score 54 · Answer 13 · 2026-03-29 07:28:56

54

Views

$\forall x,y,z,u\in\mathbb{N}, (x\geq y \wedge z>u)\vee (x>y\wedge z\geq u)\Rightarrow xz>yu$ is true for all natural numbers? Even zero?

Published on 29 Mar 2026 - 7:28

score 188 · Answer 14 · 2026-03-29 07:28:56

188

Views

The axiom 5 of Peano guarantees that 1 is not the successor of any natural number, however large this be?

Published on 29 Mar 2026 - 7:28

score 239 · Answer 15 · 2020-08-14 03:44:55

239

Views

Any way to determine if a finite multiset of natural numbers can be combined via addition or subtraction to form zero?

Published on 14 Aug 2020 - 3:44

List Question

How to prove that $+$ is commutative on the natural numbers?

Determine with a proof the largest number which can be written as a product of natural numbers which have sum 2012

What is the relationship between any natural number and two other natural numbers?

Sequences of Natural Numbers without Arithmetic Subsequences

Existence of a sequence that has every element of $\mathbb N$ infinite number of times

Why this happens with numbers of Mersenne type that are prime?

associativity of multipication of natural numbers

Creating the set of natural numbers

natural numbers satisfying the equation...

Prove that the entire underlying set in a Peano System with the strict order relation($<$) forms a unique strictly ascending sequence

What is the range of $x,y,z$ when $n$ is a known natural number in: $n=x^5+y^5+z^5$

Prove that if a set (in a Peano System) is bounded above then it have a greatest element

$\forall x,y,z,u\in\mathbb{N}, (x\geq y \wedge z>u)\vee (x>y\wedge z\geq u)\Rightarrow xz>yu$ is true for all natural numbers? Even zero?

The axiom 5 of Peano guarantees that 1 is not the successor of any natural number, however large this be?

Any way to determine if a finite multiset of natural numbers can be combined via addition or subtraction to form zero?

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