Mathematics as a Science of Patterns
New York ;Oxford University Press (1997)
| Abstract | This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist. | |||||||||
| Keywords | Mathematics Philosophy | |||||||||
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| Buy the book | $44.52 new (20% off) $49.35 direct from Amazon (11% off) Amazon page | |||||||||
| Call number | QA8.4.R473 1997 | |||||||||
| ISBN(s) | 0198250142 9780198250142 | |||||||||
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Leon Horsten, Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Stewart Shapiro (1983). Mathematics and Reality. Philosophy of Science 50 (4):523-548.
Alan Baker (2003). The Indispensability Argument and Multiple Foundations for Mathematics. Philosophical Quarterly 53 (210):49–67.
José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Gianluigi Oliveri (1997). Mathematics. A Science of Patterns? Synthese 112 (3):379-402.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Michael Heller (1997). Essential Tension: Mathematics - Physics - Philosophy. Foundations of Science 2 (1):39-52.
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