David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 175 (1):13 - 31 (2010)
This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics. It belongs to anti-realism, but can meet those challenges and can perhaps convince some realists, at least those who are also naturalists.
|Keywords||Philosophy of mathematics Anti-realism Realism Naturalism|
|Categories||categorize this paper)|
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
Alan Baker (2005). Are There Genuine Mathematical Explanations of Physical Phenomena? Mind 114 (454):223-238.
Penelope Maddy (1997). Naturalism in Mathematics. Oxford University Press.
Hartry Field (1980). Science Without Numbers. Princeton University Press.
John P. Burgess & Gideon A. Rosen (1997). A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford University Press.
Citations of this work BETA
Feng Ye (2011). Naturalism and Abstract Entities. International Studies in the Philosophy of Science 24 (2):129-146.
Similar books and articles
Neil Tennant (1987). Anti-Realism and Logic: Truth as Eternal. Oxford University Press.
Michael D. Resnik (1999). Against Logical Realism. History and Philosophy of Logic 20 (3-4):181-194.
Robert G. Hudson (2009). Faint-Hearted Anti-Realism and Knowability. Philosophia 37 (3):511-523.
W. W. Tait (2001). Beyond the Axioms: The Question of Objectivity in Mathematics. Philosophia Mathematica 9 (1):21-36.
Antti Keskinen (2012). Quine on Objects: Realism or Anti-Realism? Theoria 78 (2):128-145.
Steven L. Reynolds (2009). Making Up the Truth. Pacific Philosophical Quarterly 90 (3):315-335.
Rupert Read (2002). Is ‘What is Time?’ A Good Question to Ask? Philosophy 77 (2):193-210.
Jamin Asay (2012). A Truthmaking Account of Realism and Anti-Realism. Pacific Philosophical Quarterly 93 (3):373-394.
Added to index2009-04-20
Total downloads303 ( #7,983 of 1,938,703 )
Recent downloads (6 months)64 ( #6,244 of 1,938,703 )
How can I increase my downloads?