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Skolem’s paradox concerns the existence of a set with a form of this property. For 10 points each:
[10e] Name this property, which can be countable or uncountable. Hilbert’s hotel thought experiment concerns the counterintuitive properties of sets with this property.
ANSWER: infinite [accept containing infinitely many elements or countably infinite or uncountably infinite]
[10h] Skolem’s paradox holds because countability lacks this property, as sets can be countable in one model but uncountable in another. A formula has this property in a class of models if its truth value is the same in all members of the class.
ANSWER: absoluteness [accept absolute formulas or absolute formulae]
[10m] Absolute sentences only contain quantifiers with this property. Functions in L (“big-L”) infinity have this property almost everywhere.
ANSWER: boundedness [accept bounded functions or bounded quantifiers]
<Other Science>
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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Columbia AWUSTL B100010E
Cornell BYale100010E
FloridaIllinois B100010E
HarvardMaryland100010E
Illinois AVirginia100010E
Iowa StateIndiana100010E
Johns HopkinsGeorgia State1001020EM
MichiganMinnesota100010E
North Carolina BTexas100010E
NorthwesternStanford100010E
OttawaCornell A0000
Penn StateNYU100010E
Toronto AGeorgia Tech100010E
Toronto CRIT100010E
UCFOhio State0000
VanderbiltLSE100010E
WUSTL AMIT1001020EM
Waterloo ANorth Carolina A100010E
Waterloo BArizona State100010E
Winona StateToronto B100010E

Summary

TournamentExact Match?HeardPPBEasy %Medium %Hard %
2025 ACF NationalsYes2010.0090%10%0%