Systems of predicative analysis

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1964 English Publisher:Cambridge University Press (CUP)Journal:Journal of Symbolic Logic, volume 29, pages 1-30 (issn: 0022-4812, eissn: 1943-5886,

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Authors: Solomon Feferman;

doi: 10.2307/2269764

Systems of predicative analysis

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Abstract

This paper is divided into two parts. Part I provides a resumé of the evolution of the notion of predicativity. Part II describes our own work on the subject.Part I§1. Conceptions of sets.Statements about sets lie at the heart of most modern attempts to systematize all (or, at least, all known) mathematics. Technical and philosophical discussions concerning such systematizations and the underlying conceptions have thus occupied a considerable portion of the literature on the foundations of mathematics.

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Stanford University
United States

Keywords

mathematical logic

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