Question

Does it relate to the uncountability of irrationals?

score 96 · Answer 1 · 2026-04-08 21:28:23

96

Views

Does it relate to the uncountability of irrationals?

Published on 08 Apr 2026 - 21:28

score 93 · Answer 2 · 2022-01-12 16:59:24

93

Views

Rational number between any rationals, irrational doubt of rational numbers

Published on 12 Jan 2022 - 16:59

score 231 · Answer 3 · 2026-04-10 19:03:24

231

Views

Where are the irrational numbers?

Published on 10 Apr 2026 - 19:03

score 569 · Answer 4 · 2026-04-07 11:28:33

569

Views

$a_{n+1} = a_n/2 + 1/a_n$ is Cauchy but has no limit in $\mathbb{Q}$

Published on 07 Apr 2026 - 11:28

score 46 · Answer 5 · 2026-03-30 02:07:47

46

Views

Is there a rational point in a given open set such that the distancse from given rational points to it are all rational numbers on $R^2$?

Published on 30 Mar 2026 - 2:07

score 57 · Answer 6 · 2026-04-01 02:05:57

57

Views

Simple function for enumerating bisections of $[0,1]$

Published on 01 Apr 2026 - 2:05

score 475 · Answer 7 · 2026-04-08 21:30:04

475

Views

Why the proof of given two rational numbers their sum is rational involves the sum of both numbers. Wouldn't this be a contradiction?

Published on 08 Apr 2026 - 21:30

score 67 · Answer 8 · 2022-01-24 00:27:56

67

Views

Construction in Ciesliski's proof of Sierpinski’s Topological Characterization of Q

Published on 24 Jan 2022 - 0:27

score 77 · Answer 9 · 2022-01-25 18:59:12

77

Views

A sequence of rational numbers having a limit that is an irrational number

Published on 25 Jan 2022 - 18:59

score 355 · Answer 10 · 2026-04-07 09:54:40

355

Views

Showing that $\{x\in\mathbb{Q}:x≤0 \ or \ x^2≤2\}$ does not have a least upper bound in $\mathbb{Q}$

Published on 07 Apr 2026 - 9:54

score 96 · Answer 11 · 2026-03-29 10:16:42

96

Views

Does $\mathbb{Q} \times $ Cantor set have a complete sequence of $\sigma$-discrete closed covers?

Published on 29 Mar 2026 - 10:16

score 322 · Answer 12 · 2022-01-30 09:47:25

322

Views

Is the set $A = \left\{ x \in \mathbb{R}\, |\, x^2 \text{ is rational}\right\}$ countable?

Published on 30 Jan 2022 - 9:47

score 313 · Answer 13 · 2026-04-08 23:06:36

313

Views

Formally show that the set $\mathcal{S} = \left\{x\in\mathbb{Q} : x>0 , x^2<2 \right\}$ does not have a least upper bound in $\mathbb{Q}$.

Published on 08 Apr 2026 - 23:06

score 272 · Answer 14 · 2026-04-08 23:07:17

272

Views

If $N\in \mathbb N$ and $b$ irrational, why are there finitely many rationals $r=p/q$, with $p,q$ coprime & $0<q\leq N$, in the interval $(b-1,b+1)$?

Published on 08 Apr 2026 - 23:07

score 94 · Answer 15 · 2026-04-11 02:43:35

94

Views

Irrational Decimals In Reality? How To Imagine?

Published on 11 Apr 2026 - 2:43

List Question

Does it relate to the uncountability of irrationals?

Rational number between any rationals, irrational doubt of rational numbers

Where are the irrational numbers?

$a_{n+1} = a_n/2 + 1/a_n$ is Cauchy but has no limit in $\mathbb{Q}$

Is there a rational point in a given open set such that the distancse from given rational points to it are all rational numbers on $R^2$?

Simple function for enumerating bisections of $[0,1]$

Why the proof of given two rational numbers their sum is rational involves the sum of both numbers. Wouldn't this be a contradiction?

Construction in Ciesliski's proof of Sierpinski’s Topological Characterization of Q

A sequence of rational numbers having a limit that is an irrational number

Showing that $\{x\in\mathbb{Q}:x≤0 \ or \ x^2≤2\}$ does not have a least upper bound in $\mathbb{Q}$

Does $\mathbb{Q} \times $ Cantor set have a complete sequence of $\sigma$-discrete closed covers?

Is the set $A = \left\{ x \in \mathbb{R}\, |\, x^2 \text{ is rational}\right\}$ countable?

Formally show that the set $\mathcal{S} = \left\{x\in\mathbb{Q} : x>0 , x^2<2 \right\}$ does not have a least upper bound in $\mathbb{Q}$.

If $N\in \mathbb N$ and $b$ irrational, why are there finitely many rationals $r=p/q$, with $p,q$ coprime & $0<q\leq N$, in the interval $(b-1,b+1)$?

Irrational Decimals In Reality? How To Imagine?

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