Question

Prove the existence of $f$ and why the function $f_n$ is constructed

score 131 · Answer 1 · 2026-03-28 11:03:48

131

Views

Prove the existence of $f$ and why the function $f_n$ is constructed

Published on 28 Mar 2026 - 11:03

score 212 · Answer 2 · 2022-12-06 00:31:45

212

Views

Prove WITHOUT using Induction (but using WOP), that every non zero natural number has a predecessor

Published on 06 Dec 2022 - 0:31

score 141 · Answer 3 · 2022-12-09 09:36:12

141

Views

How to properly represent natural numbers less than n?

Published on 09 Dec 2022 - 9:36

score 54 · Answer 4 · 2022-12-11 18:26:40

54

Views

Find all natural (+0) solutions of a system of linear equations with natural (+0) coefficients

Published on 11 Dec 2022 - 18:26

score 191 · Answer 5 · 2026-03-30 09:47:57

191

Views

Natural number sequences that sum to mathematical constants

Published on 30 Mar 2026 - 9:47

score 227 · Answer 6 · 2022-12-16 05:53:12

227

Views

Proving $\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+d}+\frac{d}{d+a}=2$ If $a,b,c,d \in \mathbb{N}$

Published on 16 Dec 2022 - 5:53

score 62 · Answer 7 · 2022-12-18 17:54:03

How to solve the equation $\left \lceil {\left ( 3 \over 2 \right )}^K \right \rceil = \left \lfloor {3^K - 1} \over {2^K - 1} \right \rfloor$

score 75 · Answer 8 · 2022-12-25 15:25:19

75

Views

Under which formalization of the natural numbers does $\bigcup_{n \in \mathbb{N}} \{n\} = \mathbb{N}$?

Published on 25 Dec 2022 - 15:25

score 122 · Answer 9 · 2026-03-30 23:11:14

122

Views

What makes multiplication a basic operation on natural numbers but exponentiation is not?

Published on 30 Mar 2026 - 23:11

score 44 · Answer 10 · 2022-12-28 03:14:43

44

Views

Strict Ordering with Multiplication on Natural Numbers

Published on 28 Dec 2022 - 3:14

score 75 · Answer 11 · 2026-03-28 20:08:14

75

Views

How do you prove that there exists a highest element of any finite, nonempty subset of Natural Numbers? Is the following algorithmic proof valid?

Published on 28 Mar 2026 - 20:08

score 56 · Answer 12 · 2023-01-16 18:32:40

56

Views

How can I prove the following statement and calculate the whole part of it?

Published on 16 Jan 2023 - 18:32

score 108 · Answer 13 · 2026-03-27 22:57:30

108

Views

Prove that $\lfloor {(\frac{\sqrt{5}+1}{2})}^{4n-2}\rfloor-1$ is a square number where $n$ is a natural number.

Published on 27 Mar 2026 - 22:57

score 68 · Answer 14 · 2026-03-28 13:40:22

68

Views

Could you help me with this problem on natural numbers?

Published on 28 Mar 2026 - 13:40

score 143 · Answer 15 · 2023-01-17 17:51:36

143

Views

Is it possible for a statement about natural numbers not to be provable, but can be proved for any concrete natural number?

Published on 17 Jan 2023 - 17:51

List Question

Prove the existence of $f$ and why the function $f_n$ is constructed

Prove WITHOUT using Induction (but using WOP), that every non zero natural number has a predecessor

How to properly represent natural numbers less than n?

Find all natural (+0) solutions of a system of linear equations with natural (+0) coefficients

Natural number sequences that sum to mathematical constants

Proving $\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+d}+\frac{d}{d+a}=2$ If $a,b,c,d \in \mathbb{N}$

How to solve the equation $\left \lceil {\left ( 3 \over 2 \right )}^K \right \rceil = \left \lfloor {3^K - 1} \over {2^K - 1} \right \rfloor$

Under which formalization of the natural numbers does $\bigcup_{n \in \mathbb{N}} \{n\} = \mathbb{N}$?

What makes multiplication a basic operation on natural numbers but exponentiation is not?

Strict Ordering with Multiplication on Natural Numbers

How do you prove that there exists a highest element of any finite, nonempty subset of Natural Numbers? Is the following algorithmic proof valid?

How can I prove the following statement and calculate the whole part of it?

Prove that $\lfloor {(\frac{\sqrt{5}+1}{2})}^{4n-2}\rfloor-1$ is a square number where $n$ is a natural number.

Could you help me with this problem on natural numbers?

Is it possible for a statement about natural numbers not to be provable, but can be proved for any concrete natural number?

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