David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Science and Society 60 (1):58 - 79 (1996)
The philosophy of mathematics provides a severe test for a materialist explanation of science. This is because mathematics is mostly abstract and mathematical theory is rarely tested directly in practice. All the main schools of the philosophy of mathematics — platonism, logicism, intuitionism, formalism — are varieties of idealism. Nevertheless all human ideas, including mathematical ideas, originate from our experience of the world and are rooted in reality. In the history of mathematics it can be seen that problems facing society have given a great impetus to the development of the subject. Thus the rise of trade and changes in technology have each led to great advances, though purely internal contradictions within mathematics have also been of considerable importance. Formal mathematical reasoning, like classical logic, has been highly successful in the evolution of science, but is inadequate for reasoning about indeterministic processes in a state of change. Thus formal logic and dialectics should be thought of as complementary and both are required for a fully scientific understanding of the world.
|Keywords||No keywords specified (fix it)|
|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
Michael D. Resnik (1997). Mathematics as a Science of Patterns. New York ;Oxford University Press.
Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge University Press.
Stewart Shapiro (1983). Mathematics and Reality. Philosophy of Science 50 (4):523-548.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Stojan Obradović & Slobodan Ninković (2009). The Heuristic Function of Mathematics in Physics and Astronomy. Foundations of Science 14 (4):351-360.
Jean De Groot (2006). A Husserlian Perspective on Empirical Mathematics in Aristotle. Proceedings of the American Catholic Philosophical Association 80:91-99.
Mark Colyvan (2012). An Introduction to the Philosophy of Mathematics. Cambridge University Press.
Charles Sayward (2005). A Wittgensteinian Philosophy of Mathematics. Logic and Logical Philosophy 15 (2):55-69.
Robert A. Holland (1992). Apriority and Applied Mathematics. Synthese 92 (3):349 - 370.
Anthony Peressini (1999). Applying Pure Mathematics. Philosophy of Science 66 (3):13.
Alan Baker (2003). The Indispensability Argument and Multiple Foundations for Mathematics. Philosophical Quarterly 53 (210):49–67.
Mark Zelcer (2013). Against Mathematical Explanation. Journal for General Philosophy of Science 44 (1):173-192.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Added to index2011-05-29
Total downloads5 ( #234,761 of 1,099,936 )
Recent downloads (6 months)1 ( #304,017 of 1,099,936 )
How can I increase my downloads?