Question

Mapping The Countable Infinity of Integers Onto A Finite Segment of the Real Number Line

score 197 · Answer 1 · 2026-04-13 10:58:39

197

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Mapping The Countable Infinity of Integers Onto A Finite Segment of the Real Number Line

Published on 13 Apr 2026 - 10:58

score 97 · Answer 2 · 2026-03-29 11:50:07

97

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How to prove that $\bigcup S_n = (0,1.5)$ if $S_n=\{\frac{1}{n}\le x< 1+\frac{1}{n}\}$?

Published on 29 Mar 2026 - 11:50

score 78 · Answer 3 · 2026-04-12 04:17:07

78

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Defining an infinite list of irrational numbers

Published on 12 Apr 2026 - 4:17

score 48 · Answer 4 · 2018-04-07 15:34:50

48

Views

What is the set A = {$a + b\sqrt{3} : (a,b)\in \mathbb Z ^2, a^2 - 3b^2 = 1$}?

Published on 07 Apr 2018 - 15:34

score 147 · Answer 5 · 2018-04-07 18:37:39

147

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Two set or three set Venn Diagram?

Published on 07 Apr 2018 - 18:37

score 61 · Answer 6 · 2026-04-04 03:49:57

61

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If $B \subseteq C$, then $(A-C) \subseteq (A-B)$ (by element method)

Published on 04 Apr 2026 - 3:49

score 109 · Answer 7 · 2026-04-12 04:48:50

109

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Which are the products of $\mathsf{Set}$?

Published on 12 Apr 2026 - 4:48

score 176 · Answer 8 · 2026-04-12 01:24:19

176

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Could there be bijective function between infinite countable set and infinite uncountable set?

Published on 12 Apr 2026 - 1:24

score 78 · Answer 9 · 2026-04-11 22:42:03

78

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Set theory vocabulary: the unique subsets which compose a set?

Published on 11 Apr 2026 - 22:42

score 439 · Answer 10 · 2026-04-13 11:58:59

439

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Is There Such a Thing as Two Consecutive Rational Numbers and, If So, is the Difference Between Them Zero?

Published on 13 Apr 2026 - 11:58

score 52 · Answer 11 · 2026-03-30 23:12:18

52

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Prove/disprove: $f(x,y)=\{\{x\},\{y,\emptyset\}\}$ is an ordered pair map. (ZFC)

Published on 30 Mar 2026 - 23:12

score 137 · Answer 12 · 2026-03-25 07:49:05

137

Views

Timothy Gowers's Proof That the Rational Numbers Form a Countable Set

Published on 25 Mar 2026 - 7:49

score 7.9k · Answer 13 · 2026-04-04 05:19:41

7.9k

Views

Use Algebric proof to prove the following set A-(A-B) = A ∩ B

Published on 04 Apr 2026 - 5:19

score 46 · Answer 14 · 2018-04-09 00:57:18

My doubt about an exercise: $A$ is infinite $\wedge$ $f:A \to A \implies \exists B (B \neq \varnothing$ and $B \subsetneq A$) s.t $f(B) \subseteq B$

score 108 · Answer 15 · 2026-04-13 03:05:23

108

Views

The image of $\emptyset$ under $f$ is empty.

Published on 13 Apr 2026 - 3:05

List Question

Mapping The Countable Infinity of Integers Onto A Finite Segment of the Real Number Line

How to prove that $\bigcup S_n = (0,1.5)$ if $S_n=\{\frac{1}{n}\le x< 1+\frac{1}{n}\}$?

Defining an infinite list of irrational numbers

What is the set A = {$a + b\sqrt{3} : (a,b)\in \mathbb Z ^2, a^2 - 3b^2 = 1$}?

Two set or three set Venn Diagram?

If $B \subseteq C$, then $(A-C) \subseteq (A-B)$ (by element method)

Which are the products of $\mathsf{Set}$?

Could there be bijective function between infinite countable set and infinite uncountable set?

Set theory vocabulary: the unique subsets which compose a set?

Is There Such a Thing as Two Consecutive Rational Numbers and, If So, is the Difference Between Them Zero?

Prove/disprove: $f(x,y)=\{\{x\},\{y,\emptyset\}\}$ is an ordered pair map. (ZFC)

Timothy Gowers's Proof That the Rational Numbers Form a Countable Set

Use Algebric proof to prove the following set A-(A-B) = A ∩ B

My doubt about an exercise: $A$ is infinite $\wedge$ $f:A \to A \implies \exists B (B \neq \varnothing$ and $B \subsetneq A$) s.t $f(B) \subseteq B$

The image of $\emptyset$ under $f$ is empty.

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