List questions from fake-proofs

Published on 21 Feb 2023 - 17:14

69

Views

Sequence of increasing rationals in $[0,1]$ diverges and converges

Published on 23 Feb 2023 - 14:56

55

Views

Why is this proof of False in the Calculus of Constructions not valid?

Published on 25 Mar 2026 - 3:07

96

Views

Where is the error in this proof that isosceles triangles do not exist? Hidden division by zero

Published on 03 Mar 2023 - 21:43

153

Views

False proof that $1-1+1-1+1\cdots= \frac12$

Published on 05 Mar 2023 - 12:38

146

Views

Proof that the order of quantifiers doesn't matter (what went wrong)?

Published on 05 Mar 2023 - 23:55

1.3k

Views

Existential crisis about proof by induction

Published on 07 Mar 2023 - 17:25

289

Views

Evaluate $\lim _{n\to\infty}\left[\frac{1}{n+1}+\frac{1}{n+2}+\cdots \frac{1}{n+n}\right]$

Published on 10 Mar 2023 - 12:38

77

Views

A (Faulty) Proof that $(-1)^{n}$ is Monotone

Published on 16 Mar 2023 - 2:50

261

Views

Find the solutions of $x$ such that $\arcsin x=2\arctan x$

Published on 16 Mar 2023 - 17:29

212

Views

Does defining $i := \sqrt{-1}$ lead to a contradiction?

Published on 17 Mar 2023 - 6:58

96

Views

Explain how does $1 = i\;$?

Published on 21 Mar 2023 - 18:14

130

Views

"Proving" that $\pi=4$ with Hausdorff measure

Published on 22 Mar 2023 - 13:07

71

Views

Prove that for any sets A and B there is a unique C such that $A \triangle C=B$; C is not unique!

Published on 01 Apr 2023 - 22:02

60

Views

Is function substitution valid in proofs? If so, what are the restrictions?

Published on 02 Apr 2023 - 1:49

List Question

Why is the area of a circle not $2\pi r^2?$ (a fake proof)

Sequence of increasing rationals in $[0,1]$ diverges and converges

Why is this proof of False in the Calculus of Constructions not valid?

Where is the error in this proof that isosceles triangles do not exist? Hidden division by zero

False proof that $1-1+1-1+1\cdots= \frac12$

Proof that the order of quantifiers doesn't matter (what went wrong)?

Existential crisis about proof by induction

Evaluate $\lim _{n\to\infty}\left[\frac{1}{n+1}+\frac{1}{n+2}+\cdots \frac{1}{n+n}\right]$

A (Faulty) Proof that $(-1)^{n}$ is Monotone

Find the solutions of $x$ such that $\arcsin x=2\arctan x$

Does defining $i := \sqrt{-1}$ lead to a contradiction?

Explain how does $1 = i\;$?

"Proving" that $\pi=4$ with Hausdorff measure

Prove that for any sets A and B there is a unique C such that $A \triangle C=B$; C is not unique!

Is function substitution valid in proofs? If so, what are the restrictions?

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