Bonus
This philosopher’s namesake semantics employs “frames” consisting of a set W and an accessibility relation R. For 10 points each:
[10m] Name this philosopher who first attempted to prove the completeness of that semantics in a 1959 paper he wrote at the age of 18, the same year he taught a graduate course at MIT.
ANSWER: Saul Kripke [accept Kripke semantics; accept Kripke frame]
[10e] That paper is titled for “A Completeness Theorem” in a logic described by this adjective. Logical systems described by this adjective deal with necessity and possibility.
ANSWER: modal logic [or modality; accept “A Completeness Theorem in Modal Logic”]
[10h] That paper attempts to prove the completeness of this specific system of modal logic, with an alphanumeric name derived from C. I. Lewis. This logic system assumes that accessibility is reflexive and Euclidean and was used to prove the modal ontological argument.
ANSWER: S5 [accept KT5]
<Philosophy>
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Conversion
Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
---|---|---|---|---|---|---|
British Columbia | Yale | 10 | 10 | 0 | 20 | ME |
Chicago A | UC Berkeley A | 10 | 10 | 10 | 30 | MEH |
Chicago B | Johns Hopkins | 0 | 0 | 0 | 0 | |
Columbia B | Michigan | 0 | 0 | 0 | 0 | |
Cornell A | MIT | 10 | 10 | 0 | 20 | ME |
Cornell B | Winona State | 0 | 0 | 0 | 0 | |
Georgia State | Arizona State | 0 | 0 | 0 | 0 | |
Georgia Tech | Virginia Tech | 0 | 10 | 0 | 10 | E |
Harvard | Toronto C | 0 | 10 | 0 | 10 | E |
Indiana | Waterloo A | 0 | 10 | 0 | 10 | E |
LSE | NYU | 0 | 0 | 0 | 0 | |
Maryland | Illinois B | 0 | 10 | 0 | 10 | E |
Minnesota | Texas | 10 | 10 | 0 | 20 | ME |
North Carolina A | Illinois A | 10 | 10 | 0 | 20 | ME |
North Carolina B | UCF | 0 | 0 | 0 | 0 | |
Northwestern | Toronto A | 0 | 10 | 0 | 10 | E |
Ohio State | Virginia | 0 | 0 | 0 | 0 | |
Ottawa | Florida | 0 | 10 | 0 | 10 | E |
RIT | Vanderbilt | 10 | 10 | 0 | 20 | ME |
Stanford | Rutgers | 10 | 10 | 0 | 20 | ME |
Toronto B | Iowa State | 10 | 10 | 0 | 20 | ME |
UC Berkeley B | Penn State | 10 | 10 | 10 | 30 | MEH |
WUSTL A | Columbia A | 10 | 10 | 0 | 20 | ME |
Waterloo B | WUSTL B | 10 | 10 | 0 | 20 | ME |
Summary
Tournament | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
---|---|---|---|---|---|---|
2025 ACF Nationals | Yes | 24 | 12.50 | 71% | 46% | 8% |