Question

This thinker’s alternative definition of quantifiers using the term-forming epsilon operator has been applied to anaphora in natural language. Natural deduction contrasts with proof systems named for this thinker, (15[1])which often (15[1])use modus ponens as the only rule of inference. W. W. Tait argued that this thinker’s Kant-influenced “finitary arithmetic” corresponds to primitively recursive arithmetic. This thinker’s formalist project began (-5[1])in his Grundlagen der Geometrie. (-5[1])He’s not Ackermann, but the (*) Church-Turing thesis contradicts this thinker’s hope that an algorithm could decide (10[1])the truth (10[1])of any statement, called the (10[1])Entscheidungsproblem. (10[2])Gödel’s (10[1])incompleteness theorem (10[1])proved the infeasibility of this thinker’s namesake (-5[1])program, (10[2])which attempted to axiomatize all of mathematics. For 10 points, what German mathematician theorized a paradox involving an infinitely large hotel? ■END■ (10[3])

ANSWER: David Hilbert [accept Hilbert system; accept Hilbert’s program; accept Hilbert’s hotel]
<VD, Philosophy (19th/20th Century)>
= Average correct buzz position

Buzzes

Summary

TournamentEditionExact Match?TUHConv. %Power %Neg %Average Buzz
2025 RMP Fest Online Mirror05/31/25Y5100%0%20%97.40
2025 RMP Fest Carleton Mirror07/13/25Y3100%33%33%80.00
2025 RMP Fest CO Mirror08/10/25Y6100%17%17%82.83