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If you understand fewer than half of these, you are no mathematician. Didn't you always want scientific proof?

ε = 0

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A co-mathematician is a device which turns theorems into coffee.

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Let n be the smallest natural which cannot be defined in fewer than twenty English words.

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Don't ever buy a limousine with paintwork damage: a non-compact car may take an infinite number of brush strokes to repaint.

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The most obvious anagram of "Banach-Tarski" is "Banach-Tarski Banach-Tarski".

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A Sarkowskii tricycle has any number of wheels simultaneously.

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Let S be an exact sequence of objects and isomorphisms.

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"All nontrivial elliptic functions" is singular.

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4, 60, 141