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Mereology (“mee-ree-ology”) unproblematically incorporates an analogue of these objects’ rule of unrestricted comprehension, which was originally called Basic Law V (“five”). Type theory was developed to resolve a paradox about these objects, which is often compared to a barber who can’t shave himself. Gottlob Frege (“FRAY-guh”) defined numbers as these objects, which is also done in Zermelo-Frankel theory. The naïve theory of these objects is subject to Russell’s paradox, which concerns one of these objects containing all of these objects that do not contain themselves. De Morgan’s laws axiomatize the union and intersection operations on these objects. For 10 points, name these unordered collections of objects. ■END■
| Upstate NY | Main | Y | 5 | 80% | 0% | 40% | 72.50 |
| Southern California | Main | Y | 7 | 100% | 0% | 14% | 48.29 |
| Eastern Canada (1) | Main | Y | 5 | 100% | 0% | 20% | 65.00 |
| Eastern Canada (2) | Main | Y | 9 | 100% | 0% | 11% | 61.78 |
| Florida | Main | Y | 4 | 100% | 0% | 0% | 58.75 |
| Great Lakes | Main | Y | 12 | 100% | 0% | 17% | 65.92 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 11% | 76.22 |
| Upper Mid-Atlantic | Main | Y | 2 | 100% | 0% | 50% | 80.00 |
| Midwest | Main | Y | 9 | 100% | 0% | 0% | 53.78 |
| North | Main | Y | 4 | 100% | 0% | 25% | 63.25 |
| Northeast | Main | Y | 10 | 100% | 0% | 20% | 70.90 |
| Pacific | Main | Y | 8 | 100% | 0% | 0% | 62.88 |
| South Central | Main | Y | 7 | 100% | 0% | 0% | 69.57 |
| Southeast | Main | Y | 13 | 100% | 0% | 23% | 74.69 |
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 72.50 |
| UK (South) | UK | Y | 8 | 100% | 0% | 0% | 56.88 |
| UK (North) | UK | Y | 5 | 100% | 0% | 20% | 74.40 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Jiping Fang | Illinois Blue | Illinois Champaign | 8 | 10 |
| Rishi Mathur | Claremont B | Claremont A | 11 | 10 |
| Oliver West | Cambridge B | Cardiff | 14 | 10 |
| Nate Brown | CWRU C | Ohio State C | 16 | 10 |
| Kevin Zheng | Michigan A | CWRU A | 20 | 10 |
| Bolun Thompson | UCLA C | UCSD B | 26 | 10 |
| June Miller | Florida A | Florida B | 29 | 10 |
| Connor King | St. Thomas | Wisconsin A | 29 | 10 |
| Oliver Thompson | CWRU D | Ohio State B | 29 | 10 |
| Eric Lipsutz | Chicago B | Illinois Urbana | 31 | 10 |
| Charlie Ruff | McGill A | McGill B | 36 | 10 |
| Michael Zheng | UCLA F | UC Irvine | 40 | -5 |
| Michael Xu | McMaster B | Toronto E | 40 | 10 |
| Aleksa Misic | Waterloo B | Waterloo C | 40 | 10 |
| Brian Qian | Illinois Canada | Indiana A | 40 | 10 |
| Jacob Chambers | Iowa State | Macalester | 40 | 10 |
| Luke Sauer | Michigan Tech | Wisconsin B | 40 | -5 |
| Bharath Ram | Georgia Tech A | Tennessee A | 40 | 10 |
| Dan Millington | Birmingham | Southampton | 40 | 10 |
| Vijay Hans | Berkeley Boss Bandit | Berkeley Mighty Miner | 40 | 10 |
| Lorie Au-Yeung | UCSC | Berkeley Skeleton King | 40 | -5 |
| Dawson Teu | Waterloo A | Toronto D | 40 | 10 |
| Surya Dinesh | MIT A | Boston College A | 40 | 10 |
| Aaron Wang | Cornell A | ESF | 40 | 10 |
| March Delfin | UCSD A | UC Santa Barbara | 40 | 10 |
| Andrew Nucci | UCLA B | UCLA D | 40 | 10 |
| Nishad Joshi | Kentucky | Louisville D | 40 | -5 |
| Micah Lauzon | Dartmouth B | Brown B | 40 | 10 |
| William Kiker | Dartmouth A | Vermont B | 40 | -5 |
| Liam Markland | Alberta A | Washington Steelhead | 40 | 10 |
| Skand Parvatikar | Arizona State B | Washington Coho | 40 | 10 |
| Valerie Brown | Carleton B | Carleton A | 41 | 10 |
| Peyton Legg | UCF A | Florida Tech A | 41 | 10 |
| Nghia Khau | VCU A | UNC B | 41 | 10 |
| Anirudh Terdal | LSE | Imperial C | 41 | 10 |
| Danny Cutbill | RIT A | Cornell C | 41 | -5 |
| Gabriel Nell | Cornell B | Binghamton C | 41 | -5 |
| Violet Page | Binghamton C | Cornell B | 41 | 0 |
| Cas Fidel | Tulsa A | Nebraska A | 41 | 10 |
| Abhay Ariyapappillil | Ottawa B | McGill C | 42 | -5 |
| Arthur Zhang | Purdue C | Purdue A | 42 | 10 |
| Daniel Huang | Georgia Tech D | Montevallo | 42 | 10 |
| Kevin Liu | Maryland A | George Mason A | 42 | -5 |
| Tobias Zajac | Michigan State C | WVU A | 42 | -5 |
| Andrew Park | Harvard | Williams C | 42 | -5 |
| James Haddix | Washington State | Arizona State A | 42 | 10 |
| Buck Muhlbauer | Nebraska B | Central Oklahoma A | 42 | 10 |
| Darren Kellis | Vanderbilt A | South Carolina A | 45 | -5 |
| Tal Bowen | Durham A | Edinburgh A | 47 | -5 |
| Jonas Cross | Tennessee Tech | Georgia A | 47 | -5 |
| Zachary Bornstein | Virginia Tech A | Virginia Tech B | 48 | 10 |
| Pen Hughes | Edinburgh C | Durham C | 53 | 10 |
| Chris Chang | USC A | UCLA A | 53 | 10 |
| Eames Weeks | Brown A | Amherst A | 53 | 10 |
| Caleb Houston | Tulsa B | Harding | 53 | 10 |
| Coy Mier | Auburn B | Auburn A | 53 | 10 |
| Justin Fountain | Clemson C | Clemson B | 53 | -5 |
| Shivam Saxena | Georgia Tech F | Georgia Tech B | 53 | 10 |
| Daniel Chen | Emory A | Georgia Tech E | 54 | 10 |
| Ada Bendel | Bristol | Cambridge D | 54 | 10 |
| Danny Han | Stanford B | Berkeley Archer Queen | 54 | 10 |
| Nameer Qadir | Toronto C | Toronto A | 54 | 10 |
| Nathaniel Martin | Brandeis Bach | Boston University A | 54 | 10 |
| Brennan Davis | Louisville B | Michigan C | 54 | 10 |
| Samuel Zheng | Toronto F | Queen's A | 57 | 10 |
| Joe Paterson | Michigan State A | Michigan B | 57 | 10 |
| Sicheng Jiang | Toronto H | Brock A | 60 | 10 |
| Jeremy Scurlock | Chipola College | Alabama A | 60 | 10 |
| George Matsumura | Washington Chum | British Columbia C | 62 | 10 |
| Carson Kessler | Washington Pink | Washington Sockeye | 62 | 10 |
| David Xilbille | Georgia Tech C | Clemson A | 62 | 10 |
| Joseph Wang | UCLA E | USC B | 65 | 10 |
| Connor Kahn | NCSU A | UNC A | 65 | -5 |
| Charlotte Nicholas | Durham B | Sheffield A | 65 | 10 |
| Rory Moloney | Cambridge E | Imperial D | 65 | 10 |
| Liam Rojas | Virginia A | William & Mary A | 65 | 10 |
| Camden Walker | WashU Grolars | Purdue D | 65 | 10 |
| Ryan Liu | Ohio State D | Louisville C | 65 | 10 |
| Beckett Pursey | Purdue B | Iowa B | 67 | 10 |
| John Rootham | Ottawa D | Ottawa A | 68 | 10 |
| Pace Klein | CWRU B | Louisville A | 69 | 10 |
| Jonathan Schnipper | Brandeis Mozart | Williams B | 71 | 10 |
| Antara Bhattacharya | Cambridge A | Oxford | 72 | 10 |
| Theodor Martin | WashU Grizzlers | Indiana B | 73 | 10 |
| Jolie Yeh | Warwick | Imperial A | 76 | 10 |
| Alex Forman | Cornell D | RIT B | 76 | 10 |
| Stephen Ottewell | Toronto B | McMaster A | 76 | -5 |
| Yvonne Pan | Amherst B | Tufts C | 76 | 10 |
| Reid Eichberg | Tufts B | UConn A | 76 | 10 |
| Ana Torres | McGill C | Ottawa B | 78 | 10 |
| Saswat Sasha Tripathi | Chicago A | Iowa A | 79 | 10 |
| Jason Lee | Rutgers A | Maryland C | 79 | 10 |
| Austin Tran | Rose-Hulman A | William Woods University A | 79 | 10 |
| Rob Morris | Durham D | Edinburgh B | 80 | 10 |
| Hudson Kee | William & Mary B | William & Mary C | 80 | 10 |
| Anthony Cruz Martinez | Nebraska C | Murray State College B | 80 | 10 |
| Cranmer McGinn | McMaster C | Toronto I | 81 | 10 |
| Miles Phillips | Florida Tech B | ERAU Daytona A | 81 | 10 |
| Walter Carson | NCSU B | Liberty C | 81 | 10 |
| Benjamin Turner | York | Edinburgh D | 81 | 10 |
| Isaiah Schmid | Binghamton B | Rochester | 81 | 10 |
| Andrew Lin | Toronto G | Guelph A | 81 | 10 |
| James Meek | George Mason A | Maryland A | 81 | 10 |
| Vivian Lu | Wisconsin C | Minnesota | 81 | 10 |
| Joshua Garner | Ohio State A | Michigan State B | 81 | 10 |
| Graham Dirks | Kansas State A | Central Oklahoma B | 81 | 10 |
| Juan Landaeta | Florida State A | South Florida A | 84 | 10 |
| Bryce Younger | Boise State | Washington Masu | 84 | 10 |
| Wesley Yu | British Columbia A | Texas | 85 | 10 |
| Kevin Cronk | Virginia Tech C | UNC C | 87 | 10 |
| Keira Flenniken | Oklahoma | Murray State College A | 87 | 10 |
| Alexandra Knight | Liberty B | JMU B | 88 | 10 |
| Joyann Hua | British Columbia B | Washington Atlantic | 88 | 10 |
| James Zhao | Vanderbilt C | Vanderbilt B | 92 | 10 |
| Gary Wang | Michigan D | Pittsburgh | 92 | 10 |
| James Headon | Edinburgh A | Durham A | 93 | 10 |
| James Stadler | Imperial B | Cambridge C | 93 | 10 |
| Connor Yu | Cornell C | RIT A | 93 | 10 |
| David Yuan | Berkeley Little Prince | Stanford A | 93 | 10 |
| Johanna Bryant | Liberty A | Duke A | 93 | 10 |
| Akif Ismail | Williams C | Harvard | 93 | 10 |
| Valentina Chamandy | McGill E | Ottawa C | 102 | 10 |
| Pratham Bhanushali | WVU B | Michigan State D | 102 | 10 |
| Scott Sibley | UC Irvine | UCLA F | 103 | 10 |
| Justin Han | UNC A | NCSU A | 103 | 10 |
| Noah Lang | Wisconsin B | Michigan Tech | 103 | 10 |
| Caleb Slusher | South Carolina A | Vanderbilt A | 103 | 10 |
| Nelson Adams-Riley | Sewanne | Tennessee B | 103 | 10 |
| Thomas Wu | Berkeley Skeleton King | UCSC | 103 | 10 |
| Seth Allen | McMaster A | Toronto B | 103 | 10 |
| Jacky Li | MIT B | Brandeis Beethoven | 103 | 10 |
| Bonham Buchannon | Louisville D | Kentucky | 103 | 10 |
| Alex McClanahan | WVU A | Michigan State C | 103 | 10 |
| Indigo Khanna | Vermont B | Dartmouth A | 103 | 10 |
| Cassidy McIntyre | Rose State | Kansas State B | 103 | 10 |
| Veer Vanmali | Mississippi State A | Auburn C | 103 | 10 |
| Asheton Wilbanks | Clemson B | Clemson C | 103 | 10 |
| Martin Brandenburg | Georgia A | Tennessee Tech | 103 | 10 |