This thinker formalized a statement of equinumerosity that George Boolos later identified as Hume’s principle. This thinker wrote two essays criticizing David Hilbert’s lecture on geometry for relying on the demonstration of consistency. This thinker introduced the turnstile symbol to logic in a book that criticizes Kant’s claim that 2 + 3 = 5 was unprovable. Michael Dummett attributes the beginning of the linguistic turn to this thinker’s use of the context principle while discussing the origin of numbers. This thinker’s Basic Law V (“five”) was shown to be flawed when considering sets through Russell’s paradox. A puzzle at the start of a paper by this thinker notes “Hesperus is Hesperus. Hesperus is Phosphorus.” For 10 points, name this German philosopher who wrote The Foundations of Arithmetic and On Sense and Reference. ■END■
| California (North) | Main Site | Y | 3 | 100% | 0% | 0% | 61.33 |
| California (South) | Main Site | Y | 4 | 75% | 0% | 75% | 121.33 |
| Canada | Main Site | Y | 12 | 58% | 0% | 25% | 101.86 |
| Florida | Main Site | Y | 3 | 33% | 0% | 0% | 112.00 |
| Great Lakes | Main Site | Y | 5 | 60% | 0% | 0% | 102.00 |
| Lower Mid-Atlantic | Main Site | Y | 8 | 50% | 0% | 25% | 105.00 |
| Midwest | Main Site | Y | 8 | 50% | 0% | 25% | 86.50 |
| Northeast | Main Site | Y | 5 | 80% | 0% | 40% | 103.75 |
| Overflow | Main Site | Y | 3 | 67% | 0% | 0% | 107.00 |
| South Central | Main Site | Y | 2 | 50% | 0% | 0% | 87.00 |
| Southeast | Main Site | Y | 7 | 43% | 0% | 14% | 107.33 |
| UK | Main Site | Y | 6 | 83% | 0% | 33% | 87.60 |
| Upper Mid-Atlantic | Main Site | Y | 9 | 78% | 0% | 44% | 103.57 |
| Upstate NY | Main Site | Y | 4 | 50% | 0% | 0% | 88.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Eveline Ong | Oxford A | Imperial C | 14 | 10 |
| Asha Basu | McGill A | Waterloo B | 14 | 10 |
| John Marvin | Chicago A | Chicago E | 14 | 10 |
| Zaid Asif | NYU C | Vassar | 16 | -5 |
| Anuttam Ramji | Berkeley B | Berkeley A | 18 | 10 |
| Walter Carson | NC State B | Wake Forest | 53 | -5 |
| Ian Theysmeyer | Queen's | McMaster A | 55 | -5 |
| Jack Lewis | Bruin | WashU A | 60 | 10 |
| Moses Kitakule | Columbia A | Johns Hopkins A | 63 | -5 |
| Mitch McCullar | Penn State | RIT | 64 | 10 |
| Matthew Sumanen | Georgia Tech C | Georgia Tech B | 65 | -5 |
| Gus Vanskike | Maryland C | Rutgers A | 66 | -5 |
| Matt Sheldon | Oxford B | Durham | 67 | -5 |
| Kevin Ye | Simon Fraser | Toronto C | 67 | -5 |
| Kerry Xu | UCSD B | UCSD A | 68 | -5 |
| Ryan Rosenberg | NYU A | Maryland A | 69 | -5 |
| Alex Jiang | Brown | Dartmouth B | 70 | 10 |
| Karthik Jayaram | UCLA A | UC Irvine | 72 | -5 |
| Matthew Wang | UBC A | Waterloo A | 72 | 10 |
| Jerry Vinokurov | John Jay | Johns Hopkins B | 74 | 10 |
| Artem Borisov | Bristol | Edinburgh B | 74 | -5 |
| Michał Gerasimiuk | Stanford A | Stanford B | 78 | 10 |
| Ben Hellman | Swarthmore | Georgetown | 78 | 10 |
| Faraz Foroughi | NC State A | Liberty B | 80 | -5 |
| Oscar O'Flanagan | Imperial A | UCL | 83 | 10 |
| Yrwin Batan | MIT | Yale | 83 | 10 |
| Akshar Goyal | Illinois A | Chicago B | 83 | 10 |
| Joel Miles | Minnesota A | Georgia Tech A | 83 | 10 |
| Albert Nyang | LSE | Cambridge C | 83 | 10 |
| Kevin Zheng | Michigan A | Ohio State B | 87 | 10 |
| Jisoo Yoo | Texas A | Texas B | 87 | 10 |
| Nathaniel Hull | Berkeley C | Berkeley D | 88 | 10 |
| Ariel Faeder | Pittsburgh | CWRU B | 88 | 10 |
| Noah Chin | Virginia Tech A | North Carolina C | 88 | 10 |
| Kevin Liu | Maryland B | Catholic | 88 | 10 |
| Mats Miller | Chicago D | Northwestern D | 94 | -5 |
| Chris Yoo | William and Mary | VCU | 95 | 10 |
| Dmitri Anh-Minh Tran | UC Santa Barbara | UCSD C | 102 | 10 |
| Joseph Chambers | Virginia | James Madison A | 107 | 10 |
| Amir Dolansky | Toronto E | Guelph | 109 | 10 |
| Emmanuel Alayande | Florida B | Central Florida C | 112 | 10 |
| Chauncey Lo | Columbia C | Rutgers B | 112 | 10 |
| Omkar Marathe | Columbia B | NYU B | 112 | 10 |
| Robert Chen | Rochester | Cornell C | 112 | 10 |
| Evan Gniadek | Purdue B | Chicago C | 118 | 10 |
| Stefan Stealey-Euchner | Arizona State | UCLA B | 119 | -5 |
| Owen Riviere | Western B | Western A | 119 | -5 |
| Christopher Bradley | Southern Connecticut State | Harvard A | 123 | -5 |
| Sriram Susarla | UBC B | Carleton University | 125 | 10 |
| Chris Dech | Brandeis A | Dartmouth A | 125 | -5 |
| Arvin Boraghi | Cambridge B | City St. George's | 127 | 10 |
| Zachary Bornstein | Virginia Tech B | South Carolina A | 130 | 10 |
| Sinecio Morales | Johns Hopkins A | Columbia A | 130 | 10 |
| Stephen Walsh | Northwestern B | Indiana B | 130 | -5 |
| Khanh Nguyen | Florida C | Central Florida B | 131 | 0 |
| AnnaMaria Donnelly | Central Florida B | Florida C | 131 | 0 |
| June Miller | Florida A | Central Florida A | 131 | 0 |
| Aryan Desarapu | Michigan B | Michigan State | 131 | 0 |
| Maddie Baldwin | Michigan State | Michigan B | 131 | 0 |
| Thomas Jenkins | Michigan C | CWRU A | 131 | 0 |
| Andrew Amygdalos | CWRU A | Michigan C | 131 | 0 |
| Roxanne Tang | Ohio State A | Ohio State C | 131 | 10 |
| Owen Banks | Duke | North Carolina A | 131 | 0 |
| Joseph Cole | North Carolina A | Duke | 131 | 0 |
| Kabir Zaman | South Carolina B | James Madison B | 131 | 0 |
| Laila Peterson | James Madison B | South Carolina B | 131 | 0 |
| James Watson | Wake Forest | NC State B | 131 | 0 |
| Mattias Ehatamm | Maryland A | NYU A | 131 | 10 |
| Aiden Dartley | Rutgers A | Maryland C | 131 | 0 |
| Eli O'Sick Johnson | Binghamton B | Binghamton A | 131 | 0 |
| Peter Smith | Binghamton A | Binghamton B | 131 | 0 |
| Julian Bushlow | Cornell A | Cornell B | 131 | 0 |
| Brian Hoff | Cornell B | Cornell A | 131 | 0 |
| Jaskaran Singh | UCLA B | Arizona State | 131 | 10 |
| Scott Sibley | UC Irvine | UCLA A | 131 | 0 |
| Seth Allen | McMaster A | Queen's | 131 | 10 |
| Jesse Chusing | Ottawa | Toronto B | 131 | 10 |
| Sonia Zhang | Western A | Western B | 131 | 0 |
| Jay Misuk | Western C | Toronto G | 131 | 0 |
| Ethan Ma | Illinois C | Indiana C | 131 | 0 |
| Emily Justak | Indiana C | Illinois C | 131 | 0 |
| Jacob Finley | Notre Dame A | Northwestern C | 131 | 10 |
| Faith Magiera | Northwestern D | Chicago D | 131 | 0 |
| Joy An | Harvard A | Southern Connecticut State | 131 | 10 |
| Dwight Solano | Texas A&M A | Murray State A | 131 | 0 |
| Kanyon Beck | Murray State A | Texas A&M A | 131 | 0 |
| Arhith Dharanendra | Georgia Tech B | Georgia Tech C | 131 | 10 |
| Britton Webster | Alabama A | Louisville B | 131 | 0 |
| Joseph Strom | Louisville B | Alabama A | 131 | 0 |
| Sawyer Smith | Mississipi State | Alabama B | 131 | 0 |
| Davin Sivertson | Alabama B | Mississipi State | 131 | 0 |
| Nolan Dannels | UCSD A | UCSD B | 131 | 10 |
| Milan Fernandez | Brock | McGill B | 131 | 0 |
| Luke Sloan | McGill B | Brock | 131 | 0 |
| Yihong Chen | Toronto C | Simon Fraser | 131 | 10 |
| Ishan Joshi | Toronto Metropolitan | Toronto D | 131 | 0 |
| Yusuf Baig | McMaster B | Toronto F | 131 | 0 |
| Saju Ramraj | Toronto F | McMaster B | 131 | 0 |
| Nolan Jones | Purdue A | Notre Dame B | 131 | 0 |
| John Augustyn | Notre Dame B | Purdue A | 131 | 0 |
| Elliott Gomes | Dartmouth A | Brandeis A | 131 | 0 |
| Max Neal | Harvard B | Brandeis B | 131 | 10 |
| Isaac Studley | Carleton College | Missouri B | 131 | 10 |
| Carson Kessler | Washington B | Claremont | 131 | 0 |
| Annika Larson | Claremont | Washington B | 131 | 0 |
| Parker McCoig | Tennessee A | Georgia Tech D | 131 | 10 |
| Danny Tran | Tennessee B | Sewanee | 131 | 0 |
| Camden Walker | WashU B | Kentucky | 131 | 0 |
| Olivia Kiser | Kentucky | WashU B | 131 | 0 |
| Daniel Bloom | Edinburgh B | Bristol | 131 | 10 |