Now for me the most surprising thing is "Homotophy type theory" that
unifies spaces, proofs, computations and category theory in a different
foundation for mathematics. Redefine a proof as the existence of paths that
connect objects in a space with homological properties, but not distances.
It is constructive and it is free from the Russell paradox and the GĂ¶del
paradox, since type theory where made with this purpose (and set theory is
a particular case).

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2013/7/6 Telmo Menezes <te...@telmomenezes.com>
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> http://math.stackexchange.com/questions/2949/which-one-result-in-maths-has-surprised-you-the-most
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