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Mathematics—Application and Applicability
In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press (2005)
Abstract
This chapter discusses various senses in which mathematics is applied to the material world. It distinguishes between canonical and noncanonical applications of mathematics, the former being those for which the mathematics was developed to deal with in the first place. It also distinguishes between empirical and nonempirical applications, thus yielding four different kinds of applications. Examples of each are provided, and philosophical problems connected with each are treated.Author's Profile
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Citations of this work
Structuring Logical Space.Alejandro Pérez Carballo - 2014 - Philosophy and Phenomenological Research 92 (2):460-491.
Understanding thermodynamic singularities: Phase transitions, data, and phenomena.Sorin Bangu - 2009 - Philosophy of Science 76 (4):488-505.
Mathematical Explanations of Physical Phenomena.Sorin Bangu - 2021 - Australasian Journal of Philosophy 99 (4):669-682.
The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science.Daniele Molinini - 2020 - Axiomathes 30 (2):149-163.
Frege’s Constraint and the Nature of Frege’s Foundational Program.Marco Panza & Andrea Sereni - 2019 - Review of Symbolic Logic 12 (1):97-143.
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