Question
An age-old historical debate in mathematics argues whether the field is discovered or invented. For 10 points each, answer some questions regarding the debate.
[10e] The position that math is discovered and abstract concepts exist by themselves is named after this thinker. In his dialogue Timaeus, this thinker claimed that the elements were composed of his namesake solids.
ANSWER: Plato [or Platon]
[10h] The formulators of this argument claim that mathematical concepts like sets and functions are integral to scientific theories, and thereby it is “intellectual dishonesty” to not commit to their existence.
ANSWER: Quine-Putnam indispensability argument [accept either underlined portion]
[10m] This German argued that Platonism is the only defensible view of mathematics. This thinker also wrote the paper “On Sense and Reference.”
ANSWER: Gottlob Frege [or Friedrich Ludwig Gottlob Frege]
<AG, Philosophy>
Summary
2023 ILLIAC (Cornell) | 2023-10-21 | Y | 4 | 20.00 | 100% | 75% | 25% |
2023 ILLIAC (Mainsite) | 2023-10-21 | Y | 8 | 11.25 | 88% | 25% | 0% |
Data
Ohio State A | Chicago A | 10 | 0 | 10 | 20 |
Michigan A | Chicago B | 10 | 0 | 0 | 10 |
Purdue A | Chicago C | 10 | 0 | 10 | 20 |
Chicago D | Michigan B | 10 | 0 | 0 | 10 |
SIUE B | Missouri | 0 | 0 | 0 | 0 |
Ohio State B | WUSTL | 10 | 0 | 0 | 10 |
Purdue B | Purdue C | 10 | 0 | 0 | 10 |
SIUE A | Ohio State C | 10 | 0 | 0 | 10 |