David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 18 (2):144-165 (2010)
This paper explores how to explain the applicability of classical mathematics to the physical world in a radically naturalistic and nominalistic philosophy of mathematics. The applicability claim is first formulated as an ordinary scientific assertion about natural regularity in a class of natural phenomena and then turned into a logical problem by some scientific simplification and abstraction. I argue that there are some genuine logical puzzles regarding applicability and no current philosophy of mathematics has resolved these puzzles. Then I introduce a plan for resolving the logical puzzles of applicability
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
References found in this work BETA
Feng Ye (2009). A Naturalistic Interpretation of the Kripkean Modality. Frontiers of Philosophy in China 4 (3):454-470.
Citations of this work BETA
Feng Ye (2010). What Anti-Realism in Philosophy of Mathematics Must Offer. Synthese 175 (1):13 - 31.
Feng Ye (2011). Naturalism and Abstract Entities. International Studies in the Philosophy of Science 24 (2):129-146.
Carlo Cellucci (2013). Philosophy of Mathematics: Making a Fresh Start. Studies in History and Philosophy of Science Part A 44 (1):32-42.
Colin Mclarty (2013). Foundations as Truths Which Organize Mathematics. Review of Symbolic Logic 6 (1):76-86.
Similar books and articles
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
Penelope J. Maddy (2001). Some Naturalistic Reflections on Set Theoretic Method. Topoi 20 (1):17-27.
L. Luce (1991). Literalism and the Applicability of Arithmetic. British Journal for the Philosophy of Science 42 (4):469-489.
Davide Rizza (2010). Mathematical Nominalism and Measurement. Philosophia Mathematica 18 (1):53-73.
Mark Colyvan (2001). The Miracle of Applied Mathematics. Synthese 127 (3):265 - 277.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
Torsten Wilholt (2006). Lost on the Way From Frege to Carnap: How the Philosophy of Science Forgot the Applicability Problem. Grazer Philosophische Studien 73 (1):69-82.
Added to index2010-06-05
Total downloads29 ( #50,804 of 1,088,426 )
Recent downloads (6 months)3 ( #30,936 of 1,088,426 )
How can I increase my downloads?