| # | Concept | Culture | Statement | Freq. |
|---|---|---|---|---|
| 1 | proof | academic culture | Evidence or data supporting a hypothesis or theory is crucial in scientific and academic settings. | 1 |
| 2 | proof | academic culture | In academic culture, proof is crucial in mathematics and scientific research to provide evidence for hypotheses and claims. | 1 |
| 3 | proof by contradiction | Academic community | An important and respected technique in formal logic and mathematics | 1 |