Critical Review of Penelope Maddy, Defending the Axioms
Bibliographic Data
| ID | 14430947 |
|---|---|
| Authors | Mary Leng (0000-0001-9936-5453, University of York, corresponding author) |
| Year | 2016 |
| Volume | 66 |
| Issue | 265 |
| Pages | 823-832 |
| Publication date | 2016-10-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | The Philosophical Quarterly (JOURNAL) |
| Journal identifiers | ISSN: 0031-8094 • E-ISSN: 1467-9213 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/pq/pqv131 |
| OpenAlex | W2309249662 |
| Language | EN |
| References cited | 5 |
Penelope Maddy's 2011 book, Defending the Axioms, argues that there may be an objectively correct answer to the question whether there are sets whose cardinality is strictly less than the real numbers, but strictly greater than the natural numbers, but that there is no objectively correct answer to the question of whether there are sets. This review examines Maddy's reasons for these claims, and agrees with her that, once the position she calls ‘Robust Realism’ (which she herself defended in earlier work) is ruled out, the issue between realism and anti-realism in the philosophy of mathematics is a mere terminological dispute.
Axiom · Cardinality (data modeling) · Critical realism (philosophy of perception) · Epistemology · Geometry · Realism · Computer Science · History and Theory of Mathematics · Mathematics · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science
| Highly cited | No |
|---|