Corfield, D.N. (2010) Understanding the Infinite I: Niceness, Robustness, and Realism. Philosophia Mathematica, 18 (3). pp. 253-275. ISSN 0031-8019.
|The full text of this publication is not available from this repository. (Contact us about this Publication)|
This paper treats the situation where a single mathematical construction satisfies a multitude of interesting mathematical properties. The examples treated are all infinitely large entities. The clustering of properties is termed 'niceness' by the mathematician Michiel Hazewinkel, a concept we compare to the 'robustness' described by the philosopher of science William Wimsatt. In the final part of the paper, we bring our findings to bear on the question of realism which concerns not whether mathematical entities exist as abstract objects, but rather whether the choice of our concepts is forced upon us.
|Subjects:||B Philosophy. Psychology. Religion > B Philosophy (General)|
|Divisions:||Faculties > Humanities > School of European Culture and Languages|
|Depositing User:||David Corfield|
|Date Deposited:||27 Jun 2011 14:31|
|Last Modified:||30 Nov 2011 12:40|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/27991 (The current URI for this page, for reference purposes)|
- Depositors only (login required):