Definite totalities and determinate truth in conceptual structuralism
Bibliographic Data
| ID | 10807073 |
|---|---|
| Authors | Martin Fischer (0000-0003-0841-9781, Munich School of Philosophy), Matteo Zicchetti (0000-0002-0518-4190, University of Warsaw, corresponding author) |
| Year | 2024 |
| Volume | 203 |
| Issue | 1 |
| Publication date | 2024-01-06 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Synthese (JOURNAL) |
| Journal identifiers | ISSN: 0039-7857 • E-ISSN: 1573-0964 |
| Publisher | Springer Science and Business Media LLC (PUBLISHER) |
| DOI | 10.1007/s11229-023-04443-5 |
| OpenAlex | W4390639142 |
| Language | EN |
| Citations received | 1 |
| References cited | 36 |
This article investigates the connection and dependence between the definiteness of the totalities involved in mathematical structures and the determinateness of statements about that structure. From a logical perspective, we investigate whether logical principles expressing the definiteness of totalities license the use of classical logic. From a philosophical perspective, this article provides a reconstruction of Solomon Feferman’s claim that the definiteness of the natural number conception implies the determinateness of arithmetical statements and therefore justifies the adoption of classical logic for arithmetical theories
Arithmetic function · Connection (principal bundle) · Definiteness · Discrete mathematics · Epistemology · Linguistics · Metaphysics · Perspective (graphical) · Philosophy of language · Philosophy of science · Structuralism (philosophy of science) · History and Theory of Mathematics · Mathematics · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science
| Unique citing works | 1 |
|---|---|
| Citations per year | 1 |
| Citation span | 2026 - 2026 (1) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 1 |