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Gödel on Deduction

2016/04/10 by Dosen, Kosta, Adzic, Milos
#03A05 (Philosophical and critical) #03F03 (Proof theory #FOS: Mathematics #History and Overview (math.HO) #Logic (math.LO) #general)

paper · doi:10.48550/arxiv.1604.02757

Abstract

This is an examination, a commentary, of links between some philosophical views ascribed to Gödel and general proof theory. In these views deduction is of central concern not only in predicate logic, but in set theory too, understood from an infinitistic ideal perspective. It is inquired whether this centrality of deduction could also be kept in the intensional logic of concepts whose building Gödel seems to have taken as the main task of logic for the future.

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