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The implication of an “actual” form of this property spawned controversy surrounding the Barcan formula. An essay titled for this property discusses the “spatio-temporal connotations” of the word “Pegasus” in a sentence by a philosopher dubbed “McX” and features an argument named after “Plato’s beard” for dulling Occam’s razor by ascribing it too often. The Quine–Putnam indispensability thesis supports a stance sometimes referred to as Platonism that assigns this property to mathematical objects. The logical operator written as a backward capital E quantifies this property, which is the subject of study in ontology. For 10 points, name this property given to matter by materialists and to numbers by mathematical realists. ■END■
| 2025 ACF Nationals | 2025-08-09 | Y | 14 | 93% | 0% | 7% | 72.00 |
| North | Main | Y | 10 | 100% | 0% | 0% | 84.70 |
| Overflow | Main | Y | 3 | 100% | 0% | 0% | 88.67 |
| Pacific Northwest | Main | Y | 10 | 80% | 0% | 30% | 78.88 |
| Florida | Main | Y | 13 | 100% | 0% | 23% | 87.31 |
| Upper Mid-Atlantic | Main | Y | 8 | 88% | 0% | 13% | 86.14 |
| Upstate NY | Main | Y | 8 | 88% | 0% | 13% | 86.86 |
| Southeast | Main | Y | 11 | 91% | 0% | 9% | 83.40 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Will McCurley | Auburn A | Bruin A | 31 | -5 |
| Kevin Zheng | Michigan A | Purdue B | 36 | 10 |
| Michael Wu | Southampton A | Sheffield C | 41 | 10 |
| Eveline Ong | Oxford A | Manchester A | 47 | 10 |
| Jack Meyers | Brown B | Brandeis Lloyd George | 48 | -5 |
| Ben LaFond | Cambridge A | Edinburgh B | 48 | 10 |
| Kevin Yang | Illinois C | Louisville A | 51 | -5 |
| Eva Mandelbaum | Guelph A | McGill A | 53 | -5 |
| Justin Hawkins | Indiana A | UIC | 55 | -5 |
| Akshar Goyal | Illinois A | Louisville B | 65 | -5 |
| Nathan Sheffield | MIT A | Amherst A | 69 | 10 |
| Mattias Ehatamm | Maryland A | Johns Hopkins A | 71 | 10 |
| Amir Dolansky | Toronto H | Carleton | 72 | 10 |
| Benjamin Chapman | Toronto A | Toronto B | 72 | -5 |
| Uday Bhardwaj | McGill B | Toronto K | 72 | 10 |
| Kevin Liu | Maryland B | Georgetown B | 72 | 10 |
| Reed Sexton | Michigan C | Chicago B | 72 | 10 |
| Dennis Yang | Michigan B | Indiana B | 72 | 10 |
| Atharv Chowdhary | Brown A | Harvard | 72 | 10 |
| Felix Garrett Johnston | Huntsville A | Auburn B | 72 | 10 |
| Matthew Sumanen | Georgia Tech A | Georgia Tech C | 72 | 10 |
| Albert Nyang | LSE A | Edinburgh A | 72 | 10 |
| Matt Sheldon | Oxford B | Durham A | 72 | 10 |
| Charlie Ruff | McGill C | Toronto I | 75 | 10 |
| Thomas Thatcher | Truman State | WashU B | 75 | 10 |
| Gavin Markoff | Vanderbilt A | Georgia Tech D | 75 | 10 |
| Yihong Chen | Toronto C | McMaster A | 81 | 10 |
| Ian Theysmeyer | Queen's A | McMaster C | 81 | 10 |
| Nameer Qadir | Toronto D | Ottawa | 81 | 10 |
| Ezra Santos | Chicago A | Notre Dame D | 81 | 10 |
| Matthew Kohn | Williams | Yale A | 81 | 10 |
| Kevin Peng | Cornell-UG | Dartmouth | 81 | 10 |
| Young Fenimore Lee | Ohio | Arizona State B | 81 | 10 |
| Jacob Puthipiroj | Northwestern A | Alberta B | 81 | 10 |
| Nolan Travers | Tulsa | UTD B | 81 | 10 |
| Gus Redding | Imperial B | Bristol B | 81 | 10 |
| Rachel Bentham | Manchester B | LSE B | 81 | 10 |
| Jolie Yeh | Warwick B | Bristol A | 81 | 10 |
| Oliver West | Cambridge C | Lancaster A | 81 | 10 |
| Ellen Ge | Toronto E | Western Ontario | 82 | -5 |
| Zaid Asif | NYU B | Notre Dame E | 82 | 10 |
| Vincent Zhang | Penn A | George Mason A | 82 | 10 |
| Jisoo Yoo | Texas B | McGill D | 82 | 10 |
| Oscar O'Flanagan | Imperial A | Birmingham A | 82 | 10 |
| Andrew Fisher | Sheffield A | Warwick A | 82 | 10 |
| Adil Soubki | Cambridge D | Southampton B | 82 | -5 |
| Sean Yang | Waterloo | Guelph B | 83 | 10 |
| Devon Kumar | Tufts B | Tufts A | 83 | 10 |
| Bryce Cruise | Texas A | Arizona State A | 83 | -5 |
| James Fan | Toronto J | Toronto Metropolitan | 84 | 10 |
| Samuel Zheng | Toronto F | Toronto G | 84 | 10 |
| Nghia Khau | VCU A | George Mason B | 84 | 10 |
| Sayan Chandaroy | UMBC A | Johns Hopkins C | 84 | 10 |
| Caleb West | Kentucky | Michigan D | 84 | 10 |
| Adrian Dooley | Notre Dame B | Purdue C | 84 | 10 |
| Sidarth Erat | MIT B | BU | 84 | 10 |
| Niki Ilia | BC B | Bowdoin B | 84 | 10 |
| Ryan Lee | Brown C | Brandeis Clemenceau | 84 | 10 |
| Stephen Walsh | Northwestern B | UCO | 84 | 10 |
| Nihal Anand | UTD A | Iowa | 84 | 10 |
| Sawyer Smith | Mississippi State A | UAB A | 84 | 10 |
| Ben Richards | Sheffield B | City St George's A | 84 | 10 |
| Phillip Jordan | Imperial C | Durham B | 84 | 10 |
| Rohit Chintala | Maryland C | George Washington B | 87 | 10 |
| Alex Dzurick | William Woods | WashU D | 88 | 10 |
| Ian Parsons | Maryland D | Johns Hopkins B | 90 | 10 |
| Aaron Velez | Yale B | BC A | 90 | 10 |
| Sarah Khan | Queen's B | McMaster B | 92 | 10 |
| Jack Doyle | Catholic University | George Washington A | 92 | 10 |
| Eric Lipsutz | Chicago D | Notre Dame A | 92 | 10 |
| Jason Hatfield | Huntsville B | Sewanee A | 92 | 10 |
| Evan Schleck | Georgetown A | Penn B | 103 | 10 |
| Tyler Thurman | SIUE | Missouri A | 103 | 10 |
| Aaryan Tomar | Georgia Tech B | Vanderbilt B | 103 | 10 |
| Jonathan Schnipper | Brandeis Wilson | Brandeis Orlando | 106 | 10 |
| Asha Basu | McGill A | Guelph A | 110 | 10 |
| Yash Modi | Western Ontario | Toronto E | 110 | 10 |
| Ben Wismath | Toronto B | Toronto A | 110 | 10 |
| Beckett Gilmore | Louisville A | Illinois C | 110 | 0 |
| Osbaldo Porrua | UIC | Indiana A | 110 | 10 |
| Michael Sun | Brandeis Lloyd George | Brown B | 110 | 0 |
| Max Averbach | Northwestern C | Rose State | 110 | 0 |
| Skand Parvatikar | Arizona State A | Texas A | 110 | 10 |
| Britton Webster | Alabama A | Alabama B | 110 | 0 |
| Jack Lewis | Bruin A | Auburn A | 110 | 10 |
| Davin Sivertson | Alabama B | Alabama A | 110 | 0 |
| Tevin Francis | Southampton B | Cambridge D | 110 | 0 |