Calculating Paradoxes

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Mathematical conundrums are a dime a dozen, but subtlety is where it's at.

A paradox is a self-contradictory statement, a puzzle that cannot be solved.

Self-contradiction: A statement that says the opposite of what it means.
Liar Paradox: A statement that says it's not true, but is it really?
Barber Paradox: A barber who says he shaves all who do not shave themselves, but does he shave himself?

And then there's the Mathematical Paradox.

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