You are accessing PhilPapers from Open University (UK), an institution that is not subscribed to PhilPapers. Starting on July 1, 2014, we ask institutions that grant philosophy degrees and are based in high-GDP countries to contribute to PhilPapers' maintenance and development through a subscription. See this page for details. Please show your support by contacting your librarian.

Indispensability Without Platonism

In Alexander Bird, Brian Ellis & Howard Sankey (eds.), Properties, Powers and Structures. Routledge (2012)
Abstract
According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...) realism', in order to identify the truthmakers of mathematics. We consider in particular as a case study the indispensability to physics of real analysis (the theory of the real numbers). We conclude that it is possible to run an indispensability argument without Quinean baggage.
Keywords Philosophy of Mathematics  Aristotelianism  Platonism  Indispensability
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index Translate to english
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,350
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.

Citations of this work BETA

No citations found.

Similar books and articles
Lieven Decock (2002). Quine's Weak and Strong Indispensability Argument. Journal for General Philosophy of Science 33 (2):231-250.
Mark Colyvan (1998). In Defence of Indispensability. Philosophia Mathematica 6 (1):39-62.
Analytics

Monthly downloads

Added to index

2009-07-15

Total downloads

99 ( #10,642 of 1,096,707 )

Recent downloads (6 months)

6 ( #39,873 of 1,096,707 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.