David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Foundations of Science 14 (4):351-360 (2009)
This paper considers the role of mathematics in the process of acquiring new knowledge in physics and astronomy. The defining of the notions of continuum and discreteness in mathematics and the natural sciences is examined. The basic forms of representing the heuristic function of mathematics at theoretical and empirical levels of knowledge are studied: deducing consequences from the axiomatic system of theory, the method of generating mathematical hypotheses, “pure” proofs for the existence of objects and processes, mathematical modelling, the formation of mathematics on the basis of internal mathematical principles and the mathematical theory of experiment.
|Keywords||Mathematics Heuristic function Knowledge Experiment Theory|
|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
C. West Churchman (1956). Science and Decision Making. Philosophy of Science 23 (3):247-249.
Petar V. Grujić (2007). Some Epistemic Questions of Cosmology. Foundations of Science 12 (1):39-83.
Imre Lakatos (1978). Mathematics, Science, and Epistemology. Cambridge University Press.
Paul R. Thagard (1978). The Best Explanation: Criteria for Theory Choice. Journal of Philosophy 75 (2):76-92.
Citations of this work BETA
No citations found.
Similar books and articles
Chris Pincock (2007). A Role for Mathematics in the Physical Sciences. Noûs 41 (2):253-275.
I. Grattan-Guinness (ed.) (1994). Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge.
Matthew J. Donald, Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of Probabilities.
Stewart Shapiro (2004). Foundations of Mathematics: Metaphysics, Epistemology, Structure. Philosophical Quarterly 54 (214):16 - 37.
Michael Heller (1997). Essential Tension: Mathematics - Physics - Philosophy. [REVIEW] Foundations of Science 2 (1):39-52.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan
Leon Horsten, Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Mark Steiner (1998). The Applicability of Mathematics as a Philosophical Problem. Harvard University Press.
Otavio Bueno (2005). Dirac and the Dispensability of Mathematics. Studies in History and Philosophy of Science Part B 36 (3):465-490.
Added to index2009-08-26
Total downloads26 ( #104,520 of 1,699,551 )
Recent downloads (6 months)5 ( #128,702 of 1,699,551 )
How can I increase my downloads?