Question

What is the definition of the "order" of well order property in Peano Axioms?

score 206 · Answer 1 · 2026-03-28 07:59:29

206

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What is the definition of the "order" of well order property in Peano Axioms?

Published on 28 Mar 2026 - 7:59

score 359 · Answer 2 · 2026-02-23 11:19:00

359

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What does it take to find integer solutions to this exponential division equation?

Published on 23 Feb 2026 - 11:19

score 390 · Answer 3 · 2021-08-02 05:06:57

390

Views

Examples of polynomial injections $f:\mathbb{N}\times \mathbb{N}\to \mathbb{N}$

Published on 02 Aug 2021 - 5:06

score 244 · Answer 4 · 2021-08-03 06:28:16

244

Views

Finding the number of bijections $f:\mathbb{N} \to \mathbb{N}$ such that $\sum_{i=1}^{\infty}\frac{f(n)}{n^2} < \epsilon$

Published on 03 Aug 2021 - 6:28

score 566 · Answer 5 · 2026-03-29 15:54:58

566

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How do I prove there does not exist a natural number $n$ such that $2n=1$ by using Peano's axioms.

Published on 29 Mar 2026 - 15:54

score 64 · Answer 6 · 2021-08-07 07:25:07

64

Views

There is no bijective function $g:\Bbb N\to \Bbb N$ , such that $ \sum_{n=1}^\infty \frac{g(n)}{n^2}< \infty$ .

Published on 07 Aug 2021 - 7:25

score 811 · Answer 7 · 2021-08-12 10:08:54

811

Views

Supremum of $\mathbb N$

Published on 12 Aug 2021 - 10:08

score 816 · Answer 8 · 2021-08-13 12:55:10

816

Views

Is $\aleph_0$ "bigger", or "smaller" than $\omega$? What sets are of cardinality $\omega$ or $\aleph_0$?

Published on 13 Aug 2021 - 12:55

score 52 · Answer 9 · 2021-08-17 03:47:01

52

Views

How to approach proving that walking this tree infinitely will product all natural numbers?

Published on 17 Aug 2021 - 3:47

score 121 · Answer 10 · 2026-03-29 15:53:20

121

Views

Does $\mathbb{N}\cup\{\omega\}$ satisfy true arithmetic?

Published on 29 Mar 2026 - 15:53

score 536 · Answer 11 · 2021-08-24 19:38:19

536

Views

How does this prove that the set of positive integers is unbounded above

Published on 24 Aug 2021 - 19:38

score 187 · Answer 12 · 2021-08-28 09:53:27

187

Views

Infinite natural numbers?

Published on 28 Aug 2021 - 9:53

score 472 · Answer 13 · 2021-08-31 16:33:54

472

Views

Why the differences between each number of a $x^2$ sequence is always an odd number and increase by $2$?

Published on 31 Aug 2021 - 16:33

score 76 · Answer 14 · 2021-09-11 20:27:43

76

Views

What is a good book about natural numbers from the set theoretical point of view?

Published on 11 Sep 2021 - 20:27

score 472 · Answer 15 · 2021-09-13 05:42:33

472

Views

Adding a Fixed Value to Each Element in a Set (How to Denote)

Published on 13 Sep 2021 - 5:42

List Question

What is the definition of the "order" of well order property in Peano Axioms?

What does it take to find integer solutions to this exponential division equation?

Examples of polynomial injections $f:\mathbb{N}\times \mathbb{N}\to \mathbb{N}$

Finding the number of bijections $f:\mathbb{N} \to \mathbb{N}$ such that $\sum_{i=1}^{\infty}\frac{f(n)}{n^2} < \epsilon$

How do I prove there does not exist a natural number $n$ such that $2n=1$ by using Peano's axioms.

There is no bijective function $g:\Bbb N\to \Bbb N$ , such that $ \sum_{n=1}^\infty \frac{g(n)}{n^2}< \infty$ .

Supremum of $\mathbb N$

Is $\aleph_0$ "bigger", or "smaller" than $\omega$? What sets are of cardinality $\omega$ or $\aleph_0$?

How to approach proving that walking this tree infinitely will product all natural numbers?

Does $\mathbb{N}\cup\{\omega\}$ satisfy true arithmetic?

How does this prove that the set of positive integers is unbounded above

Infinite natural numbers?

Why the differences between each number of a $x^2$ sequence is always an odd number and increase by $2$?

What is a good book about natural numbers from the set theoretical point of view?

Adding a Fixed Value to Each Element in a Set (How to Denote)

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