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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. 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 created by this man (10[1])that inspired the (10[1])Millennium Prizes. This person illustrated the concept of countable and uncountable infinities (-5[1])in one paradox. For 10 points, name this German mathematician who created a thought experiment about an infinite hotel. ■END■ (0[2])

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
Keke XiuAbbey ParkBella Vista6110
Taha FarooqRenertCheese Sandwich6410
Gavin HarperNorthernBurlington Trojans76-5
Fionn QuinnGlebeMartingrove960
Julia BeamanMartingroveGlebe960

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