Question

Natural numbers defined as cardinals of finite sets?

score 81 · Answer 1 · 2020-09-19 18:26:28

81

Views

Natural numbers defined as cardinals of finite sets?

Published on 19 Sep 2020 - 18:26

score 51 · Answer 2 · 2020-09-19 22:29:29

51

Views

Show that $P>2N \Rightarrow \frac{P}{2}<P-N$.

Published on 19 Sep 2020 - 22:29

score 40 · Answer 3 · 2020-09-20 10:41:53

40

Views

Associate number with leading zeros with one without

Published on 20 Sep 2020 - 10:41

score 48 · Answer 4 · 2020-09-26 14:47:59

48

Views

does there exist such sequence?(Maybe Dirichlet Approximation Theory is needed)

Published on 26 Sep 2020 - 14:47

score 152 · Answer 5 · 2020-09-27 09:28:10

152

Views

Finding injective map from a rational coordinate to natural number

Published on 27 Sep 2020 - 9:28

score 265 · Answer 6 · 2026-03-29 09:18:49

265

Views

Does the well ordering principle really implies mathematical induction?

Published on 29 Mar 2026 - 9:18

score 85 · Answer 7 · 2020-10-13 22:51:39

85

Views

Is there a way to integrate over reals so that the uncountable sum is finite?

Published on 13 Oct 2020 - 22:51

score 87 · Answer 8 · 2020-10-16 12:29:07

87

Views

Show that for all integers $n\geq 2$ that $\sum_{k=1}^n \frac{1}{k^2} \geq \frac{3n}{2n+1}$

Published on 16 Oct 2020 - 12:29

score 100 · Answer 9 · 2026-02-23 11:11:50

100

Views

Find minimum $n$ that satisfies $\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_n}=\frac{12}{13}$

Published on 23 Feb 2026 - 11:11

score 80 · Answer 10 · 2020-10-17 16:41:12

80

Views

Question about $\mathbb R^n$ and mathematical space(s)

Published on 17 Oct 2020 - 16:41

score 65 · Answer 11 · 2020-10-19 14:52:25

65

Views

Why this set is closed?

Published on 19 Oct 2020 - 14:52

score 139 · Answer 12 · 2026-03-27 23:48:10

139

Views

Can the well-ordering principle of the natural numbers replace the principle of mathematical induction in Peano axioms?

Published on 27 Mar 2026 - 23:48

score 29 · Answer 13 · 2020-10-21 12:56:22

29

Views

3 Elements of Sℕ that are finite sets? (Natural Numbers)

Published on 21 Oct 2020 - 12:56

score 261 · Answer 14 · 2020-10-23 11:51:57

261

Views

is there any one one correspondence between an empty set and set of natural number $\Bbb N$

Published on 23 Oct 2020 - 11:51

score 184 · Answer 15 · 2020-10-23 12:50:43

184

Views

How can I solve the functional equation $ f ( x + 1 ) + 1 = f \big( f ( x ) + 1 \big) $?

Published on 23 Oct 2020 - 12:50

List Question

Natural numbers defined as cardinals of finite sets?

Show that $P>2N \Rightarrow \frac{P}{2}<P-N$.

Associate number with leading zeros with one without

does there exist such sequence?(Maybe Dirichlet Approximation Theory is needed)

Finding injective map from a rational coordinate to natural number

Does the well ordering principle really implies mathematical induction?

Is there a way to integrate over reals so that the uncountable sum is finite?

Show that for all integers $n\geq 2$ that $\sum_{k=1}^n \frac{1}{k^2} \geq \frac{3n}{2n+1}$

Find minimum $n$ that satisfies $\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_n}=\frac{12}{13}$

Question about $\mathbb R^n$ and mathematical space(s)

Why this set is closed?

Can the well-ordering principle of the natural numbers replace the principle of mathematical induction in Peano axioms?

3 Elements of Sℕ that are finite sets? (Natural Numbers)

is there any one one correspondence between an empty set and set of natural number $\Bbb N$

How can I solve the functional equation $ f ( x + 1 ) + 1 = f \big( f ( x ) + 1 \big) $?

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