The last magic
| Abstract | If mathematics is about finding solutions to well-defined problems, then philosophy is about finding problems in what previously we thought were well-settled solutions. Mark Steiner's The Applicability of Mathematics As a Philosophical Problem mirrors both sides of this statement, admitting that mathematics is the key to solving problems in the physical sciences, but also asserting that this very applicability of mathematics to physics constitutes a problem. | |||||||||
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Imre Lakatos (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.
Mark Colyvan, Indispensability Arguments in the Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Mark Colyvan (2001). The Miracle of Applied Mathematics. Synthese 127 (3):265 - 277.
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.
Feng Ye (2010). The Applicability of Mathematics as a Scientific and a Logical Problem. Philosophia Mathematica 18 (2):144-165.
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
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