Question

How is ($\mathbb{Z}\setminus\mathbb{Q}$) a subset of $\mathbb{N}$?

score 70 · Answer 1 · 2019-12-03 16:09:18

70

Views

How is ($\mathbb{Z}\setminus\mathbb{Q}$) a subset of $\mathbb{N}$?

Published on 03 Dec 2019 - 16:09

score 199 · Answer 2 · 2026-03-26 14:28:17

199

Views

Axiomatic natural numbers without induction principle

Published on 26 Mar 2026 - 14:28

score 122 · Answer 3 · 2019-12-06 18:25:30

122

Views

Why do we need that the natural numbers are the intersection of all inductive sets in the reals?

Published on 06 Dec 2019 - 18:25

score 227 · Answer 4 · 2019-12-07 19:32:35

227

Views

$(x^2+1)(y^2+1)=z^2+1$

Published on 07 Dec 2019 - 19:32

score 98 · Answer 5 · 2019-12-09 14:31:46

98

Views

$n \in \Bbb N$ such that $n!$ is divisible by $n^2+1$

Published on 09 Dec 2019 - 14:31

score 47 · Answer 6 · 2019-12-09 19:07:12

47

Views

If $x\in\mathbb{R}$, $x>0$, $x+n\in\mathbb{N}$ imply $x\in\mathbb{N}$

Published on 09 Dec 2019 - 19:07

score 28 · Answer 7 · 2019-12-12 19:30:59

28

Views

Given $a^2+b^3=c^4+d^5$, prove a+b+c+d is even (for natural numbers)

Published on 12 Dec 2019 - 19:30

score 83 · Answer 8 · 2026-03-25 18:47:19

83

Views

Can the uniqueness of the solution be proved?

Published on 25 Mar 2026 - 18:47

score 743 · Answer 9 · 2026-03-26 03:09:38

743

Views

What is a valid function definition?

Published on 26 Mar 2026 - 3:09

score 159 · Answer 10 · 2019-12-15 10:46:20

159

Views

Verify my solutuon: Prove that if $U$ is any non-principal ultraﬁlter on $\Bbb{N}$, then the ultrapower $\Bbb{N^N}/U$ has cardinality continuum

Published on 15 Dec 2019 - 10:46

score 74 · Answer 11 · 2026-03-25 06:12:00

74

Views

Are positional notation systems for natural numbers wreath products of semigroups?

Published on 25 Mar 2026 - 6:12

score 184 · Answer 12 · 2019-12-19 10:15:05

184

Views

Point Questions For Set of R,N,Q and P

Published on 19 Dec 2019 - 10:15

score 54 · Answer 13 · 2026-03-25 23:10:07

54

Views

PROOF: A Relationship Between A Natural Number and The Quantity of Its Divisors' Divisors

Published on 25 Mar 2026 - 23:10

score 493 · Answer 14 · 2019-12-22 00:15:34

493

Views

Show that $n^2+n$ is even for all $n\in\mathbb{N}$ by contradiction

Published on 22 Dec 2019 - 0:15

score 102 · Answer 15 · 2019-12-23 03:18:27

102

Views

If $n$ is a natural number then how to show that $\frac{(1+\sqrt{5})^n - (1-\sqrt{5})^n}{\sqrt{5}*2^n} $is also a natural number?

Published on 23 Dec 2019 - 3:18

List Question

How is ($\mathbb{Z}\setminus\mathbb{Q}$) a subset of $\mathbb{N}$?

Axiomatic natural numbers without induction principle

Why do we need that the natural numbers are the intersection of all inductive sets in the reals?

$(x^2+1)(y^2+1)=z^2+1$

$n \in \Bbb N$ such that $n!$ is divisible by $n^2+1$

If $x\in\mathbb{R}$, $x>0$, $x+n\in\mathbb{N}$ imply $x\in\mathbb{N}$

Given $a^2+b^3=c^4+d^5$, prove a+b+c+d is even (for natural numbers)

Can the uniqueness of the solution be proved?

What is a valid function definition?

Verify my solutuon: Prove that if $U$ is any non-principal ultraﬁlter on $\Bbb{N}$, then the ultrapower $\Bbb{N^N}/U$ has cardinality continuum

Are positional notation systems for natural numbers wreath products of semigroups?

Point Questions For Set of R,N,Q and P

PROOF: A Relationship Between A Natural Number and The Quantity of Its Divisors' Divisors

Show that $n^2+n$ is even for all $n\in\mathbb{N}$ by contradiction

If $n$ is a natural number then how to show that $\frac{(1+\sqrt{5})^n - (1-\sqrt{5})^n}{\sqrt{5}*2^n} $is also a natural number?

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