Philosophy of Logic
Putnam (Hilary)
Source: Putnam - Philosophical Papers 1 - Mathematics, Matter and Method
Paper - Abstract

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    This monograph raises the nominalist-realist issue in connection with the question of the indispensability of quantification over abstract entities such as sets. It is argued that quantification is necessary for science and that acceptance of quantification commits us to acceptance of the existence of the mathematical entities involved. Nominalism is rejected as in principle inadequate to the language of physics; and other objections to the indispensability argument, such as linguistic purism, conventionalism, and fictionalism1, are disposed of in turn. (Bp)


Also in "Laurence (Stephen) & Macdonald (Cynthia), Eds. - Contemporary Readings in the Foundations of Metaphysics"

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