Mathematical Practice and Naturalist Epistemology: Structures with Potential for Interaction

Philosophia Scientiae 9 (2):61-78 (2005)
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Abstract

In current philosophical research, there is a rather one-sided focus on the foundations of proof. A full picture of mathematical practice should however additionally involve considerations about various methodological aspects. A number of these is identified, from large-scale to small-scale ones. After that, naturalism, a philosophical school concerned with scientific practice, is looked at, as far as the translations of its epistemic principles to mathematics is concerned. Finally, we call for intensifying the interaction between both dimensions of practice and epistemology

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Bart Van Kerkhove
Vrije Universiteit Brussel

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References found in this work

Naturalizing Epistemology.Hilary Kornblith (ed.) - 1985 - Cambridge: Mass.: Mit Press.
Mathematics and plausible reasoning.George Pólya - 1954 - Princeton, N.J.,: Princeton University Press.
Proofs and Refutations.Imre Lakatos - 1980 - Noûs 14 (3):474-478.
Proofs and refutations (III).Imre Lakatos - 1963 - British Journal for the Philosophy of Science 14 (55):221-245.

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