Article

Predicativity

Solomon Feferman

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print June 2007 | ISBN: 9780195325928
Published online September 2009 | | DOI: http://dx.doi.org/10.1093/oxfordhb/9780195325928.003.0019

Series: Oxford Handbooks

Predicativity

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While the term predicativity suggests that there is a single idea involved, what the history will show is that there are a number of ideas of predicativity which may lead to different logical analyses. This article uncovers these only gradually. A central question is then what, if anything, unifies them. Though early discussions are often muddy on the concepts and their employment, in a number of important respects they set the stage for the further developments, and so this article gives them special attention. Note that, ahistorically, modern logical and set-theoretical notation are used throughout, as long as it does not conflict with original intentions.

Keywords: predicativity; logical analyses; logical notation; set-theoretical notation; modern logic; philosophy of mathematics

Article.  16044 words. 

Subjects: Philosophy ; Philosophy of Mathematics and Logic

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