Mathematical Imaginings and Pictures
Bibliographic Data
| ID | 21603282 |
|---|---|
| Authors | Jan Morris (0000-0001-9121-8010, Consultant Brighton UK), Jeremy Morris (0000-0002-8861-9929, Consultant Brighton UK), Eva Morris (0000-0002-1075-6544, Consultant London UK, corresponding author) |
| Year | 2026 |
| Volume | 34 |
| Issue | 2 |
| Pages | 454-469 |
| Publication date | 2026-06-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | European Journal of Philosophy (JOURNAL) |
| Journal identifiers | ISSN: 0966-8373 • E-ISSN: 1468-0378 |
| Publisher | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/ejop.70053 |
| OpenAlex | W7114988299 |
| Language | EN |
| References cited | 6 |
This paper explores some of the ways that pictures embedded in the prose of mathematics may mislead the mathematician; in particular, the pictures surrounding Cantor's diagonal argument. This work takes up themes from Floyd and Mühlhölzer's recent work and aims to expand upon what it means to be a non‐extensionalist within the context of Cantor's proof. The use of different pictures or conceptions are discussed in relation to Objects of Comparison in Kuusela's sense of the term and are then used to compare the different conceptions of the infinite involved in discussions of the differential calculus on the one hand and of the real numbers on the other, with particular reference to the continuum and the notion of ‘sizes’ of infinity
Diagonal · History and Theory of Mathematics · Mathematical and Theoretical Analysis · Mathematics and Applications
| Citation velocity | historical |
|---|---|
| Highly cited | No |