# Questions tagged [fake-proofs]

Seemingly flawless arguments are often presented to prove obvious fallacies (such as 0=1). This is the appropriate tag to use when asking "Where is the proof wrong?" about proofs of such obvious fallacies.

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### Is the category of measurable spaces MONOIDAL closed? (fake-proof)

As discussed on MathOverflow, there is a preprint on ArXiv that claims the category of measurable spaces is monoidal closed (in particular that exponential objects $Y^X$ always exist and have ...
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### Fake Proof for Dimension of $SO(n)$ (rotations)?

Because there are $\binom{n}{2}$ distinct planes spanned by the elements of any given orthonormal basis for $\mathbb{R}^n$, it seems to follow readily (because apparently planar rotations generate all ...
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### Why is this proof wrong? $2^i = \frac{\sqrt{2}}{2}$ [closed]

If $i=-1^\frac{1}{2}$, then $2^i$ could be written as $2^{{-1}^{1/2}}$. By the multiplicative law of exponents, this should be equal to $2^{-1/2}$, which is $\frac{\sqrt2}{2}$. This doesn't feel right....
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### Is this proof true for 0! = 1 [duplicate]

I see proof below for 0! = 1. Is this true in mathematical scientists' idea? (n+1)! = (n+1)n! → (n+1)! ÷ (n+1) = n! Now if we put 0 to n, we will have: 1! ÷ 1 = ...