Question

Does Cantor’s theorem rely on the Empty Set being in the power set of a set?

score 124 · Answer 1 · 2024-02-28 10:22:41

124

Views

Does Cantor’s theorem rely on the Empty Set being in the power set of a set?

Published on 28 Feb 2024 - 10:22

score 143 · Answer 2 · 2024-02-29 07:34:14

143

Views

For any $f:\mathbb{Z_+}\to \mathbb{Z_+}$ there exist $f(a)\le f(a+b)\le f(a+2\cdot b)$

Published on 29 Feb 2024 - 7:34

score 76 · Answer 3 · 2024-02-29 16:29:58

76

Views

How does it work? In the nested case.

Published on 29 Feb 2024 - 16:29

score 47 · Answer 4 · 2026-03-26 01:12:40

47

Views

Across all additive bases $A$ of $\mathbb{N}\setminus\{1\}$ of order $2$, what is the maximum possible value of the $n-$th term of $A?$

Published on 26 Mar 2026 - 1:12

score 76 · Answer 5 · 2024-03-03 21:06:26

76

Views

Can all undecidable statements on natural numbers be given by Godel's numbering

Published on 03 Mar 2024 - 21:06

score 61 · Answer 6 · 2024-03-05 18:31:45

61

Views

Definition of sets and functions

Published on 05 Mar 2024 - 18:31

score 59 · Answer 7 · 2024-03-07 19:55:05

59

Views

Find $n \in N$ where $133^5 + 110^5 + 84^5 + 27^5 = n^5$

Published on 07 Mar 2024 - 19:55

score 79 · Answer 8 · 2024-03-08 09:11:45

79

Views

Solve in $\mathbb N$ the following equation $3x^2+2x=y^2$

Published on 08 Mar 2024 - 9:11

score 90 · Answer 9 · 2024-03-15 17:36:36

90

Views

A case of induction! $ n^3 − n^2 + 1 $ is an odd number for all n ∈ N.

Published on 15 Mar 2024 - 17:36

score 77 · Answer 10 · 2026-03-28 16:58:05

77

Views

Does the natural number $N$ determine an upper limit of $2^m$ that can be reached with the Collatz conjecture?

Published on 28 Mar 2026 - 16:58

score 41 · Answer 11 · 2024-03-19 01:20:08

41

Views

Strong finite induction

Published on 19 Mar 2024 - 1:20

score 66 · Answer 12 · 2024-03-20 14:08:13

66

Views

Set of all finite subsets of the natural numbers is not able to create an infinite sequence?

Published on 20 Mar 2024 - 14:08

score 27 · Answer 13 · 2024-03-23 16:39:31

27

Views

Is addition definable from successor and multiplication?

Published on 23 Mar 2024 - 16:39

score 30 · Answer 14 · 2024-03-23 17:32:25

30

Views

Is addition a term-function in this structure?

Published on 23 Mar 2024 - 17:32

score 44 · Answer 15 · 2024-03-23 17:37:51

44

Views

Is addition by a specific nonzero natural number a term function in this structure?

Published on 23 Mar 2024 - 17:37

List Question

Does Cantor’s theorem rely on the Empty Set being in the power set of a set?

For any $f:\mathbb{Z_+}\to \mathbb{Z_+}$ there exist $f(a)\le f(a+b)\le f(a+2\cdot b)$

How does it work? In the nested case.

Across all additive bases $A$ of $\mathbb{N}\setminus\{1\}$ of order $2$, what is the maximum possible value of the $n-$th term of $A?$

Can all undecidable statements on natural numbers be given by Godel's numbering

Definition of sets and functions

Find $n \in N$ where $133^5 + 110^5 + 84^5 + 27^5 = n^5$

Solve in $\mathbb N$ the following equation $3x^2+2x=y^2$

A case of induction! $ n^3 − n^2 + 1 $ is an odd number for all n ∈ N.

Does the natural number $N$ determine an upper limit of $2^m$ that can be reached with the Collatz conjecture?

Strong finite induction

Set of all finite subsets of the natural numbers is not able to create an infinite sequence?

Is addition definable from successor and multiplication?

Is addition a term-function in this structure?

Is addition by a specific nonzero natural number a term function in this structure?

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