Gómez-Torrente, Mario (2015) On the Essence and Identity of Numbers. THEORIA. An International Journal for Theory, History and Foundations of Science, 30 (3). pp. 317-329. ISSN 2171-679X
|
Text
14099-56027-1-PB.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (206kB) | Preview |
Abstract
Taking as premises some reasonable principles about the essences of natural numbers, pluralities and sets, the paper offers two types of argument for the conclusions that the natural numbers could not be the Zermelo numbers, the von Neumann numbers, the “Kripke numbers”, or the positions in the ω-structure, among other things. These conclusions are thus Benacerrafian in form, but it is emphasized that the two kinds of argument offered in the paper are anti-Benacerrafian in substance, as they are perfectly compatible and in fact congenial with some views on which the numbers could be things of certain other kinds.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Published Article or Volume | ||||||
|---|---|---|---|---|---|---|---|
| Creators: |
|
||||||
| Additional Information: | ISSN: 0495-4548 (print) | ||||||
| Keywords: | arithmetic; ontology; Benacerraf | ||||||
| Subjects: | Specific Sciences > Mathematics General Issues > Realism/Anti-realism |
||||||
| Depositing User: | Unnamed user with email theoria@ehu.es | ||||||
| Date Deposited: | 08 Jun 2016 19:27 | ||||||
| Last Modified: | 08 Jun 2016 19:27 | ||||||
| Item ID: | 12154 | ||||||
| Journal or Publication Title: | THEORIA. An International Journal for Theory, History and Foundations of Science | ||||||
| Publisher: | Euskal Herriko Unibertsitatea / Universidad del País Vasco | ||||||
| Official URL: | http://www.ehu.eus/ojs/index.php/THEORIA/article/v... | ||||||
| DOI or Unique Handle: | 10.1387/theoria.14099 | ||||||
| Subjects: | Specific Sciences > Mathematics General Issues > Realism/Anti-realism |
||||||
| Date: | September 2015 | ||||||
| Page Range: | pp. 317-329 | ||||||
| Volume: | 30 | ||||||
| Number: | 3 | ||||||
| ISSN: | 2171-679X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/12154 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}