Thin Objects Are Not Transparent
Bibliographic Data
| ID | 20143487 |
|---|---|
| Authors | Matteo Plebani (0000-0002-4853-7865, Dipartimento di Filosofia e Scienze dell'Educazione Università degli Studi di Torino, corresponding author), Luca San Mauro (0000-0002-3156-6870, Dipartmento di Matematica Sapienza Università di Roma), Giorgio Venturi (0000-0001-9089-4340, Departamento de Filosofia (IFCH) Universidade Estadual de Campinas (UNICAMP)) |
| Year | 2023 |
| Volume | 89 |
| Issue | 3 |
| Pages | 314-325 |
| Publication date | 2023-06-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Theoria (JOURNAL) |
| Journal identifiers | ISSN: 0040-5825 • E-ISSN: 1755-2567 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/theo.12373 |
| PMID | 38515739 |
| OpenAlex | W3215465027 |
| Language | EN |
| References cited | 7 |
In this short paper, we analyse whether assuming that mathematical objects are “thin” in Linnebo's sense simplifies the epistemology of mathematics. Towards this end, we introduce the notion of transparency and show that not all thin objects are transparent. We end by arguing that, far from being a weakness of thin objects, the lack of transparency of some thin objects is a fruitful characteristic mark of abstract mathematics
Epistemology · Transparency (behavior) · Computability, Logic, AI Algorithms · Computer Science · Mathematical and Theoretical Analysis · Mathematics · Philosophy · Philosophy and Theoretical Science
| Highly cited | No |
|---|