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date: 15 May 2021

Abstract and Keywords

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

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