Relevant Logic and the Philosophy of Mathematics
Bibliographic Data
| ID | 4079456 |
|---|---|
| Authors | Edwin Mares (0000-0002-7899-1727, Victoria University of Wellington, corresponding author) |
| Year | 2012 |
| Volume | 7 |
| Issue | 7 |
| Pages | 481-494 |
| Publication date | 2012-07-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy Compass (JOURNAL) |
| Journal identifiers | ISSN: 1747-9991 • E-ISSN: 1747-9991 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/j.1747-9991.2012.00496.x |
| OpenAlex | W1587667102 |
| Language | EN |
| Citations received | 2 |
| References cited | 15 |
This paper sets out three programmes that attempt to use relevant logic as the basis for a philosophy of mathematics. Although these three programmes do not exhaust the possible approaches to mathematics through relevant logic, they are fairly representative of the current state of the field. The three programmes are compared and their relative strengths and weaknesses set out. At the end of the paper I examine the consequences of adopting each programme for the realist debate about mathematical objects
Algorithm · Epistemology · Geometry · Mathematical practice · Mathematics education · Programming language · Pure mathematics · Strengths and weaknesses · Computability, Logic, AI Algorithms · Computer Science · History and Theory of Mathematics · Mathematics · Philosophy · Philosophy and Theoretical Science
| Unique citing works | 2 |
|---|---|
| Citations per year | 0.4 |
| Citation span | 2021 - 2025 (5) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 2 |