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The Oxford Handbook of Philosophy of Mathematics and Logic$
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Stewart Shapiro

Print publication date: 2005

Print ISBN-13: 9780195148770

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0195148770.001.0001

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Predicativity

Predicativity

Chapter:
(p.590) Predicativity
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

Solomon Feferman (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0019

This chapter is a detailed study of predicativity in mathematics. It presents a number of historical versions predicativity requirements (Russell, Poincaré, Weyl), looking for unifying ideas. The further development of the notions and requirements up to the present is traced, articulating connections among the different ideas. One underlying theme of the chapter is the motivations for the various requirements for rejecting impredicativity and the various ways of stating the requirement.

Keywords:   predicativity, mathematics, Russell, Poincaré, Weyl, impredicativity

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