Euclid Strikes Back at Frege
Bibliographic Data
| ID | 10689586 |
|---|---|
| Authors | Joongol Kim (Gyeongsang National University, corresponding author) |
| Year | 2014 |
| Volume | 64 |
| Issue | 254 |
| Pages | 20-38 |
| Publication date | 2014-01-01 |
| 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/pqt009 |
| OpenAlex | W1978701762 |
| Language | EN |
| Citations received | 1 |
Frege's argument against the ancient Greek conception of numbers as ‘multitudes of units’ has been hailed as one of the most successful in his Grundlagen. The aim of this paper is to show that despite Frege's best efforts, the Euclidean conception remains a viable alternative to the Fregean conception of numbers by arguing that neither a dilemma argument Frege brings against the Euclidean conception nor a possible argument against it based on the truth of what is known as Hume's Principle succeeds.
Argument (complex analysis) · Dilemma · Epistemology · Euclidean geometry · Principle of compositionality · Mathematics · Philosophy · Philosophy and Theoretical Science · Philosophy, Science, and History
| Citations per year | 0.17 |
|---|---|
| Citation span | 2020 - 2020 (1) |
| Highly cited | No |