On Internal Structure, Categorical Structure, and Representation
Bibliographic Data
| ID | 10704785 |
|---|---|
| Authors | Neil Dewar (0000-0001-6623-4529, University of Cambridge, corresponding author) |
| Year | 2023 |
| Volume | 90 |
| Issue | 1 |
| Pages | 188-195 |
| Publication date | 2023-01-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1017/psa.2022.10 |
| OpenAlex | W4211259006 |
| Language | EN |
| Citations received | 2 |
If categorical equivalence is a good criterion of theoretical equivalence, then it would seem that if some class of mathematical structures is represented as a category, then any other class of structures categorically equivalent to it will have the same representational capacities. Hudetz (2019a) has presented an apparent counterexample to this claim; in this note, I argue that the counterexample fails
Calculus (dental) · Categorical variable · Class (philosophy) · Counterexample · Discrete mathematics · Epistemology · Equivalence (formal languages) · Equivalence class (music) · Logical equivalence · Mathematical economics · Pure mathematics · Representation (politics) · Statistics · Advanced Algebra and Logic · Law · Mathematics · Philosophy
| Citations per year | 1 |
|---|---|
| Citation span | 2024 - 2026 (3) |
| Highly cited | No |