Round 4: Tossup 9

“Controversies” this mathematician engaged in with L. E. J. Brouwer and Gottlob Frege ("FRAY-guh") centered on his formalist view of axioms. ” Quantum mechanics is often studied using a generalized Euclidean space (15[1])named for this person. (15[1])This polymath (-5[1])helped create the field of algebraic geometry in his 1893 Nullstellensatz. (“NOOL-shtell-in-zotts”) The continuum hypothesis is a part of (*) 23 famous problems created (10[1])by this man that inspired the Millennium Prizes. This person illustrated the concept of countable and uncountable infinities in one paradox. For 10 points, name this German mathematician who created a thought experiment about an infinite hotel. (10[1])■END■ (10[1])

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