Grazer Philosophische Studien 78 (1):159-183 (2009)

Authors
Tommaso Piazza
University Of Pavia
Abstract
According to a common presentation, Platonism in the philosophy of mathematics is the view according to which the entities with which mathematics is concerned, numbers, are abstract objects which exist independently of the mind. The latter feature, in particular, is alleged to secure the “realist” component of mathematical Platonism. Surprisingly enough, however, this characterization of Platonism is not normally paired with a philosophical explanation of the implicated notion of mind-dependent existence. Since there seems to be more than one metaphysically relevant sense in which an entity may be said to depend on the mind, this is not a minor lack; for not every such sense seems to be relevant to the realism issue. This paper is aimed to fill this gap, and to provide the Platonist with a conceptual analysis of the realism-relevant sense in which her claim that numbers exist mind-independently should be understood. Result of this analysis will also be the conclusion that Non-Gödelian Platonism, a view recently proposed by J. Divers and A. Miller, should not be really regarded as a form of Platonism
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1163/9789042026056_008
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,342
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Uwagi o platonizmie matematycznym.Anna Lemańska - 2012 - Filozofia Nauki 20 (2).
Platonism and Anti‐Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Just What is Full-Blooded Platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
Independent Intentional Objects.Katalin Farkas - 2010 - In Tadeusz Czarnecki, Katarzyna Kijanija-Placek, Olga Poller & Jan Wolenski (eds.), The Analytical Way. College Publications.
Problems with Profligate Platonism.Colin Cheyne - 1999 - Philosophia Mathematica 7 (2):164-177.
Nonexistence Without Nonexistents.Arnold Cusmariu - 1978 - Philosophical Studies 33 (4):409-412.
Poincaré's Conception of the Objectivity of Mathematics.Janet Folina - 1994 - Philosophia Mathematica 2 (3):202-227.

Analytics

Added to PP index
2012-09-27

Total views
8 ( #902,081 of 2,326,056 )

Recent downloads (6 months)
1 ( #650,227 of 2,326,056 )

How can I increase my downloads?

Downloads

My notes