Is Math Big or Small?
20 hours ago
- #mathematical illustration
- #mathematical analogies
- #scale in mathematics
- The article discusses the concept of scale in mathematical illustrations, exploring whether math should be visualized as 'big' or 'small' relative to the viewer.
- It uses examples like Thurston's train tracks (where scale influences emotional effects) and Yasha Eliashberg's perspective in symplectic topology (where imagining math as large helps in understanding details).
- The geography and botany analogy is introduced to organize mathematical problems: geography maps the range of invariants (big scale), while botany classifies objects within specific invariants (small scale).
- The article concludes that math can be both big and small, depending on context, and encourages readers to reflect on how scale affects their own mathematical visualizations.