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 |
|---|---|---|---|---|
| Asha Basu | McGill A | Waterloo B | 14 | 10 |
| John Marvin | Chicago A | Chicago E | 14 | 10 |
| Eveline Ong | Oxford A | Imperial C | 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 |
| Kevin Ye | Simon Fraser | Toronto C | 67 | -5 |
| Matt Sheldon | Oxford B | Durham | 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 |
| Ben Hellman | Swarthmore | Georgetown | 78 | 10 |
| Michał Gerasimiuk | Stanford A | Stanford B | 78 | 10 |
| Faraz Foroughi | NC State A | Liberty B | 80 | -5 |
| Akshar Goyal | Illinois A | Chicago B | 83 | 10 |
| Yrwin Batan | MIT | Yale | 83 | 10 |
| Joel Miles | Minnesota A | Georgia Tech A | 83 | 10 |
| Oscar O'Flanagan | Imperial A | UCL | 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 |
| Robert Chen | Rochester | Cornell C | 112 | 10 |
| Chauncey Lo | Columbia C | Rutgers B | 112 | 10 |
| Omkar Marathe | Columbia B | NYU B | 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 |
| Chris Dech | Brandeis A | Dartmouth A | 125 | -5 |
| Sriram Susarla | UBC B | Carleton University | 125 | 10 |
| Arvin Boraghi | Cambridge B | City St. George's | 127 | 10 |
| Stephen Walsh | Northwestern B | Indiana B | 130 | -5 |
| Sinecio Morales | Johns Hopkins A | Columbia A | 130 | 10 |
| Zachary Bornstein | Virginia Tech B | South Carolina A | 130 | 10 |
| Jaskaran Singh | UCLA B | Arizona State | 131 | 10 |
| Scott Sibley | UC Irvine | UCLA A | 131 | 0 |
| Nolan Dannels | UCSD A | UCSD B | 131 | 10 |
| Milan Fernandez | Brock | McGill B | 131 | 0 |
| Luke Sloan | McGill B | Brock | 131 | 0 |
| Seth Allen | McMaster A | Queen's | 131 | 10 |
| Jesse Chusing | Ottawa | Toronto B | 131 | 10 |
| 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 |
| 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 |
| Joy An | Harvard A | Southern Connecticut State | 131 | 10 |
| Isaac Studley | Carleton College | Missouri B | 131 | 10 |
| 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 |
| 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 |
| James Watson | Wake Forest | NC State B | 131 | 0 |
| Carson Kessler | Washington B | Claremont | 131 | 0 |
| Annika Larson | Claremont | Washington B | 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 |
| Mattias Ehatamm | Maryland A | NYU A | 131 | 10 |
| 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 |
| Sonia Zhang | Western A | Western B | 131 | 0 |
| Jay Misuk | Western C | Toronto G | 131 | 0 |
| 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 |
| 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 |
| Dwight Solano | Texas A&M A | Murray State A | 131 | 0 |
| Kanyon Beck | Murray State A | Texas A&M A | 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 |
| Aiden Dartley | Rutgers A | Maryland C | 131 | 0 |