List questions from natural-numbers

Published on 25 Oct 2014 - 15:01

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Submagmas of natural numbers

Published on 25 Oct 2014 - 22:40

28

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Is there a difference in the rate of decrease between $f(x)$ and $g(x)$ for increasing $x$?

Published on 26 Oct 2014 - 16:09

99

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Prove $(n!)/n^n \leq 1/2^{k}$, where $k$ is the floor of $n/2$.

Published on 27 Oct 2014 - 18:07

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Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers

Published on 29 Oct 2014 - 20:08

806

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Construction of natural numbers in ZF/ZFC without class predicates.

Published on 30 Oct 2014 - 20:16

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How are the elementary arithmetics defined?

Published on 03 Nov 2014 - 11:46

239

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An interesting problem with natural numbers

Published on 03 Nov 2014 - 16:43

39

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Properties of digit functions for numbers in $[0,1]$

Published on 06 Nov 2014 - 23:23

194

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Count with only certain digits allowed

Published on 07 Nov 2014 - 21:06

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List of powers of Natural Numbers

Published on 16 Nov 2014 - 22:54

101

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What sets does $\mathbb{N}$ include?

Published on 17 Nov 2014 - 19:40

1k

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What is an example of a bijective function f: Z to N that isn't piecewise?

Published on 26 Mar 2026 - 14:34

67

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Let $\gamma$ be the Euler-Mascheroni constant. Can there be natural numbers $a,b,c$ such that $\log a - \log b - \log \log \log c =\gamma$?

Published on 23 Nov 2014 - 19:30

160

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Are these two definitions of the natural numbers equivalent?

Published on 26 Mar 2026 - 11:08

List Question

Use Induction to prove: $(1+2x)^n \geq 1+2nx$

Submagmas of natural numbers

Is there a difference in the rate of decrease between $f(x)$ and $g(x)$ for increasing $x$?

Prove $(n!)/n^n \leq 1/2^{k}$, where $k$ is the floor of $n/2$.

Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers

Construction of natural numbers in ZF/ZFC without class predicates.

How are the elementary arithmetics defined?

An interesting problem with natural numbers

Properties of digit functions for numbers in $[0,1]$

Count with only certain digits allowed

List of powers of Natural Numbers

What sets does $\mathbb{N}$ include?

What is an example of a bijective function f: Z to N that isn't piecewise?

Let $\gamma$ be the Euler-Mascheroni constant. Can there be natural numbers $a,b,c$ such that $\log a - \log b - \log \log \log c =\gamma$?

Are these two definitions of the natural numbers equivalent?

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