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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. (15[1])This polymath (15[1])helped create (15[1])the field of algebraic geometry in his 1893 Nullstellensatz. (“NOOL-shtell-in-zotts”) The continuum hypothesis is a part of (*) 23 famous problems (10[3])created 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. ■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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Buzzes

PlayerTeamOpponentBuzzpointValue
Aarnav PatwardhanChattahoochee AJohns Creek3415
Shaun IyerInnovation AExhibition3615
Dutch ConnertyMidtownChattahoochee B3815
Allan YuanHooverInnovation B5710
Viren KohliLambert ALambert B5710
Kaiden LeeNorthview ANorthview B5710

Summary

TournamentEditionMatchHeardConv. %Power %Neg %Avg. Buzz
VAULT II at Georgia Tech2026-01-24✓6100%50%0%46.50
Triangle Cup2026-03-13✓3100%0%33%70.00
VAULT II at Eden Prairie HS2026-03-13✓3100%33%0%54.67
VAULT II at McGill2026-03-13✓450%0%25%62.50
VAULT II at UCSB2026-03-13✓5100%40%20%62.60
VAULT II Northern UK2026-04-24✓3100%33%0%48.00
VAULT II Southern UK2026-04-24✓4100%50%25%54.25
VAULT II at Harvard2026-04-30✓475%50%0%50.00
VAULT II at MINT2026-06-19✓5100%0%40%82.60
VAULT II Stanford Online2026-07-17✓8100%75%25%45.75