A defence of mathematical pluralism
Philosophia Mathematica 13 (3):252-276 (2005)
| Abstract | We approach the philosophy of mathematics via a discussion of the differences between classical mathematics and constructive mathematics, arguing that each is a valid activity within its own context. | |||||||||
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T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Penelope Maddy (1990). Realism in Mathematics. Oxford University Prress.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Charles S. Chihara (1990). Constructibility and Mathematical Existence. Oxford University Press.
Davide Rizza (2010). Mathematical Nominalism and Measurement. Philosophia Mathematica 18 (1):53-73.
I. Loeb (2012). Questioning Constructive Reverse Mathematics. Constructivist Foundations 7 (2):131-140.
H. Billinge (2000). Applied Constructive Mathematics: On Hellman's 'Mathematical Constructivism in Spacetime'. British Journal for the Philosophy of Science 51 (2):299-318.
E. Brian Davies (2005). A Defence of Mathematical Pluralism. Philosophia Mathematica 13 (3):252-276.
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