Question

Proof that the set of Natural numbers are equal to the Real numbers

score 238 · Answer 1 · 2026-04-13 13:04:45

238

Views

Proof that the set of Natural numbers are equal to the Real numbers

Published on 13 Apr 2026 - 13:04

score 69 · Answer 2 · 2026-04-10 04:31:21

69

Views

Erroneous proof that derivative tending to $\infty$ implies that the function is not uniformly continuous.

Published on 10 Apr 2026 - 4:31

score 129 · Answer 3 · 2026-05-10 14:06:15

129

Views

Questions about the statement "Every number can be specified by less than twenty words."

Published on 10 May 2026 - 14:06

score 232 · Answer 4 · 2026-04-15 10:46:47

232

Views

How to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$

Published on 15 Apr 2026 - 10:46

score 835 · Answer 5 · 2026-04-14 02:02:17

835

Views

On The "Commutative" Properties Of Subtraction And Division

Published on 14 Apr 2026 - 2:02

score 61 · Answer 6 · 2026-04-14 07:24:02

61

Views

Wrong proof for the variance of a sum of normally-distributed variables?

Published on 14 Apr 2026 - 7:24

score 259 · Answer 7 · 2026-04-12 14:58:11

259

Views

$ \operatorname{dist}(w,A) \ge \operatorname{dist}(w, \partial A)?$ What is the mistake in this proof?

Published on 12 Apr 2026 - 14:58

score 256 · Answer 8 · 2026-04-12 06:11:05

256

Views

Lesser-known fake proofs

Published on 12 Apr 2026 - 6:11

score 145 · Answer 9 · 2026-04-15 13:58:38

145

Views

Uniform limit of functions with intermediate value property has intermediate value property? Where is the error in this proof?

Published on 15 Apr 2026 - 13:58

score 349 · Answer 10 · 2026-04-13 18:26:16

349

Views

What is the correct proof that when $\epsilon$ decreases (in a limit) then the largest $\delta$ should also decrease?

Published on 13 Apr 2026 - 18:26

score 119 · Answer 11 · 2026-04-11 17:01:54

119

Views

About an exercise in Rudin's book

Published on 11 Apr 2026 - 17:01

score 335 · Answer 12 · 2026-04-14 04:44:50

335

Views

Finding a mistake in this 'proof' that $1 = 2$.

Published on 14 Apr 2026 - 4:44

score 1k · Answer 13 · 2026-04-15 06:08:04

1k

Views

Adding infinite and finite numbers: why doesn't 0=1?

Published on 15 Apr 2026 - 6:08

score 1.8k · Answer 14 · 2026-04-10 15:51:50

1.8k

Views

What is wrong in this proof by strong induction that all natural numbers are even

Published on 10 Apr 2026 - 15:51

score 1.1k · Answer 15 · 2026-04-14 23:05:14

1.1k

Views

Fake proof that $1$ is the solution of $x^2+x+1=0$

Published on 14 Apr 2026 - 23:05

List Question

Proof that the set of Natural numbers are equal to the Real numbers

Erroneous proof that derivative tending to $\infty$ implies that the function is not uniformly continuous.

Questions about the statement "Every number can be specified by less than twenty words."

How to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$

On The "Commutative" Properties Of Subtraction And Division

Wrong proof for the variance of a sum of normally-distributed variables?

$ \operatorname{dist}(w,A) \ge \operatorname{dist}(w, \partial A)?$ What is the mistake in this proof?

Lesser-known fake proofs

Uniform limit of functions with intermediate value property has intermediate value property? Where is the error in this proof?

What is the correct proof that when $\epsilon$ decreases (in a limit) then the largest $\delta$ should also decrease?

About an exercise in Rudin's book

Finding a mistake in this 'proof' that $1 = 2$.

Adding infinite and finite numbers: why doesn't 0=1?

What is wrong in this proof by strong induction that all natural numbers are even

Fake proof that $1$ is the solution of $x^2+x+1=0$

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