PhilSci Archive

Non-Representational Mathematical Realism

Frapolli, Maria J. (2015) Non-Representational Mathematical Realism. THEORIA. An International Journal for Theory, History and Foundations of Science, 30 (3). pp. 331-348. ISSN 2171-679X

[img]
Preview
Text
14105-56033-1-PB.pdf - Published Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (233kB) | Preview

Abstract

This paper is an attempt to convince anti-realists that their correct intuitions against the metaphysical inflationism derived from some versions of mathematical realism do not force them to embrace non-standard, epistemic approaches to truth and existence. It is also an attempt to convince mathematical realists that they do not need to implement their perfectly sound and judicious intuitions with the anti-intuitive developments that render full-blown mathematical realism into a view which even Gödel considered objectionable (Gödel 1995, p. 150).

I will argue for the following two theses: (i) that realism, in its standard characterization, is our default position, a position in agreement with our pre-theoretical intuitions and with the results of our best semantic theories, and (ii) that most of the metaphysical qualms usually related to it depends on a poor understanding of truth and existence as higher-order concepts.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Frapolli, Maria J.frapolli@ugr.es
Additional Information: ISSN: 0495-4548 (print)
Keywords: realism; representationalism; existence; truth
Subjects: Specific Sciences > Mathematics
General Issues > Realism/Anti-realism
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 08 Jun 2016 19:28
Last Modified: 08 Jun 2016 19:28
Item ID: 12155
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: https://doi.org/10.1387/theoria.14105
Subjects: Specific Sciences > Mathematics
General Issues > Realism/Anti-realism
Date: September 2015
Page Range: pp. 331-348
Volume: 30
Number: 3
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12155

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item View Item