David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Facta Philosophica 5:173-182 (2003)
Hilary Putnam suggests that the essence of the realist conception of mathematics is that the statements of mathematics are objective so that the true ones are objectively true. An argument for mathematical realism, thus conceived, is implicit in Putnam's writing. The first premise is that within currently accepted science there are objective truths. Next is the premise that some of these statements logically imply statements of pure mathematics. The conclusion drawn is that some statements of pure mathematics are objectively true. A key principle assumed is that if one statement logically implies a second, then if the first is objectively true so is the second. A question about this principle is raised and answered. The problem with the argument is with the second premise.
|Keywords||putnam carnap realism|
|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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Susan Vineberg (1996). Confirmation and the Indispensability of Mathematics to Science. Philosophy of Science 63 (3):263.
Michael Resnik (1995). Scientific Vs. Mathematical Realism: The Indispensability Argument. Philosophia Mathematica 3 (2):166-174.
Jürgen Dümont (1999). Putnam's Model-Theoretic Argument(S). A Detailed Reconstruction. Journal for General Philosophy of Science 30 (2):341-364.
Mark Colyvan (2011). Fictionalism in the Philosophy of Mathematics. In E. J. Craig (ed.), Routledge Encyclopedia of Philosophy.
Anders Öberg (2011). Hilary Putnam on Meaning and Necessity. Dissertation, Uppsala University
Sorin Ioan Bangu (2008). Inference to the Best Explanation and Mathematical Realism. Synthese 160 (1):13-20.
O. Linnebo (2003). Stewart Shapiro. Philosophy of Mathematics: Structure and Ontology. Philosophia Mathematica 11 (1):92-103.
G. H. Merrill (1980). The Model-Theoretic Argument Against Realism. Philosophy of Science 47 (1):69-81.
Philip Hugly & Charles Sayward (2006). Arithmetic and Ontology: A Non-Realist Philosophy of Arithmetic. rodopi.
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
Christopher Norris (2002). Putnam, Peano, and the Malin Génie: Could We Possibly Bewrong About Elementary Number-Theory? [REVIEW] Journal for General Philosophy of Science 33 (2):289-321.
Added to index2011-04-27
Total downloads88 ( #14,457 of 1,102,989 )
Recent downloads (6 months)6 ( #46,900 of 1,102,989 )
How can I increase my downloads?