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 named for this person. (-5[1])This polymath 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 (10[1])created by this man that (10[1])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 (10[1])about an infinite hotel. ■END■

ANSWER: David Hilbert [accept Frege-Hilbert controversy or Brouwer–Hilbert controversy; accept Hilbert Basis Theorem; accept Hilbert Space; accept Hilbert's Nullstellensatz; accept Hilbert's 23 problems; accept Hilbert Hotel]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 04
= Average correct buzzpoint

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