Question

Can One Discuss Induction without Sets?

score 114 · Answer 1 · 2022-10-17 15:26:15

114

Views

Can One Discuss Induction without Sets?

Published on 17 Oct 2022 - 15:26

score 57 · Answer 2 · 2022-10-22 04:25:21

57

Views

For numbers $x,y \in \Bbb N$ where x is not a power of y or vice versa, are there numbers $a,b \in \Bbb N$ where $x^a$ = $y^b$?

Published on 22 Oct 2022 - 4:25

score 69 · Answer 3 · 2022-10-22 19:20:36

69

Views

Is this a $T_1$ topological space and what other properties (or name) does this topological space on the set of prime powers have?

Published on 22 Oct 2022 - 19:20

score 23 · Answer 4 · 2022-10-27 09:44:35

23

Views

Explicit formulation of an bijective function that maps $\mathbb{Z}^3$ to $\mathbb{N}_0$ from the point $(0,0,0)$ outwards and it's inverse

Published on 27 Oct 2022 - 9:44

score 24 · Answer 5 · 2022-10-29 10:29:46

How to count a number of elements in a set with subsequent natural numbers and why substracting the lowest number from the highest is wrong??

score 108 · Answer 6 · 2022-10-30 02:40:37

108

Views

How exactly is the Arabic numeral system defined?

Published on 30 Oct 2022 - 2:40

score 88 · Answer 7 · 2022-11-02 13:37:48

88

Views

Prove that there are infinitely many $n\in\mathbb{N^*}$ such that $n|2^{2n-1}+1$

Published on 02 Nov 2022 - 13:37

score 81 · Answer 8 · 2022-11-06 18:00:42

81

Views

How to prove (∀a, b, c ∈ N) a < b ⇒ a < bc. using only the basic axioms of natural numbers

Published on 06 Nov 2022 - 18:00

score 20 · Answer 9 · 2022-11-09 22:48:25

20

Views

Labeling points in $\mathbb{R}^2$ with 1 index such that certain properties are satisfied.

Published on 09 Nov 2022 - 22:48

score 69 · Answer 10 · 2022-11-16 14:34:25

69

Views

Finding probability function different to every single associated probability function in (N, P(N))

Published on 16 Nov 2022 - 14:34

score 179 · Answer 11 · 2026-03-30 05:30:15

179

Views

Fifth Peano axiom — Properties of the natural numbers

Published on 30 Mar 2026 - 5:30

score 40 · Answer 12 · 2022-11-24 20:57:19

40

Views

Is it possible to find two values for a base?

Published on 24 Nov 2022 - 20:57

score 25 · Answer 13 · 2022-11-26 02:51:19

25

Views

Function that generates 2 indexes for nested subsets

Published on 26 Nov 2022 - 2:51

score 50 · Answer 14 · 2022-12-01 07:03:20

50

Views

Is there a way to compare infinity which respects the part-whole relation?

Published on 01 Dec 2022 - 7:03

score 155 · Answer 15 · 2022-12-02 10:03:32

155

Views

if $m \lt n$, then $mk < nk$.

Published on 02 Dec 2022 - 10:03

List Question

Can One Discuss Induction without Sets?

For numbers $x,y \in \Bbb N$ where x is not a power of y or vice versa, are there numbers $a,b \in \Bbb N$ where $x^a$ = $y^b$?

Is this a $T_1$ topological space and what other properties (or name) does this topological space on the set of prime powers have?

Explicit formulation of an bijective function that maps $\mathbb{Z}^3$ to $\mathbb{N}_0$ from the point $(0,0,0)$ outwards and it's inverse

How to count a number of elements in a set with subsequent natural numbers and why substracting the lowest number from the highest is wrong??

How exactly is the Arabic numeral system defined?

Prove that there are infinitely many $n\in\mathbb{N^*}$ such that $n|2^{2n-1}+1$

How to prove (∀a, b, c ∈ N) a < b ⇒ a < bc. using only the basic axioms of natural numbers

Labeling points in $\mathbb{R}^2$ with 1 index such that certain properties are satisfied.

Finding probability function different to every single associated probability function in (N, P(N))

Fifth Peano axiom — Properties of the natural numbers

Is it possible to find two values for a base?

Function that generates 2 indexes for nested subsets

Is there a way to compare infinity which respects the part-whole relation?

if $m \lt n$, then $mk < nk$.

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