Reductionism as resource-conscious reasoning

Erkenntnis 53 (1-2):173-193 (2000)
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Abstract

Reductivist programs in logicand philosophy, especially inthe philosophy of mathematics,are reviewed. The paper argues fora ``methodological realism'' towardsnumbers and sets, but still givesreductionism an important place,albeit in methodology/epistemologyrather than in ontology proper.

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Godehard Link
Ludwig Maximilians Universität, München

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press USA.
Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.

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