Question

Proving the set of real numbers is uncountable

score 1k · Answer 1 · 2026-04-16 10:06:50

1k

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Proving the set of real numbers is uncountable

Published on 16 Apr 2026 - 10:06

score 52 · Answer 2 · 2026-05-10 16:58:47

52

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Proofs on Irrational/Rational Real Numbers

Published on 10 May 2026 - 16:58

score 198 · Answer 3 · 2026-05-10 16:57:46

198

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Proof on Rational Numbers

Published on 10 May 2026 - 16:57

score 517 · Answer 4 · 2026-04-14 23:42:35

517

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Let $S$ be a bounded infinite set and let $x=\inf(S)$. Prove: If $x\notin S$, then $x\in {\rm{Bd}}(S)$

Published on 14 Apr 2026 - 23:42

score 69 · Answer 5 · 2026-04-14 04:34:38

69

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The number of real solutions of complicated surd

Published on 14 Apr 2026 - 4:34

score 176 · Answer 6 · 2026-05-10 16:59:32

176

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if $\bar{\mathbb {Q}}=\mathbb R$ then is : $\bar{\mathbb {Q}}\times\bar{\mathbb {Q}}$ = $\mathbb R^2$?

Published on 10 May 2026 - 16:59

score 776 · Answer 7 · 2026-04-16 20:24:55

776

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If $n\in \mathbb{N},$ then $(1-1/2) (1-1/4)(1-1/8)(1-1/16)...(1-1/2^n)\geq 1/4+1/2^{n+1}.$

Published on 16 Apr 2026 - 20:24

score 465 · Answer 8 · 2026-04-14 17:00:19

465

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Power tower of $10$

Published on 14 Apr 2026 - 17:00

score 69 · Answer 9 · 2026-05-10 13:45:31

69

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Outer measure induced by a Jump function

Published on 10 May 2026 - 13:45

score 31 · Answer 10 · 2026-04-12 13:32:21

31

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Is this a right step for inequalities? (Proof needed if it is right)

Published on 12 Apr 2026 - 13:32

score 78 · Answer 11 · 2026-05-05 11:04:06

78

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The maximal real algebraic field

Published on 05 May 2026 - 11:04

score 252 · Answer 12 · 2026-04-14 05:25:27

252

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Prove that the function $ f : \Bbb R \to \Bbb R$ is continuous at $ x = 0$ and discontinuous at every $x \ne 0$.

Published on 14 Apr 2026 - 5:25

score 429 · Answer 13 · 2026-05-10 14:55:46

429

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How do I prove that every hyperreal has a standard part after constructing the reals from the hyperrationals?

Published on 10 May 2026 - 14:55

score 1.2k · Answer 14 · 2026-04-13 20:42:04

1.2k

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Discrete subgroups of $(\mathbb{R},+)$

Published on 13 Apr 2026 - 20:42

score 11.2k · Answer 15 · 2026-05-10 16:13:08

11.2k

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prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

Published on 10 May 2026 - 16:13

List Question

Proving the set of real numbers is uncountable

Proofs on Irrational/Rational Real Numbers

Proof on Rational Numbers

Let $S$ be a bounded infinite set and let $x=\inf(S)$. Prove: If $x\notin S$, then $x\in {\rm{Bd}}(S)$

The number of real solutions of complicated surd

if $\bar{\mathbb {Q}}=\mathbb R$ then is : $\bar{\mathbb {Q}}\times\bar{\mathbb {Q}}$ = $\mathbb R^2$?

If $n\in \mathbb{N},$ then $(1-1/2) (1-1/4)(1-1/8)(1-1/16)...(1-1/2^n)\geq 1/4+1/2^{n+1}.$

Power tower of $10$

Outer measure induced by a Jump function

Is this a right step for inequalities? (Proof needed if it is right)

The maximal real algebraic field

Prove that the function $ f : \Bbb R \to \Bbb R$ is continuous at $ x = 0$ and discontinuous at every $x \ne 0$.

How do I prove that every hyperreal has a standard part after constructing the reals from the hyperrationals?

Discrete subgroups of $(\mathbb{R},+)$

prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$

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