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Paul Hertz’s Systems of Propositions As a Proof-Theoretical Conception of Logic

  • Javier LegrisEmail author
Chapter
Part of the Trends in Logic book series (TREN, volume 39)

Abstract

Paul Hertz was an outstanding German physicist, who also devoted himself to mathematical logic and wrote a series of papers that remained rather unnoticed, even if they influenced the development of proof theory and particularly Gentzen’s work. This chapter aims to examine Hertz’s logical theory placing it in its historical context and remarking its influence on Gentzen’s sequent calculus. The analysis of the formal structure of proofs was one of Hertz’s most important achievements and it can be regarded as an anticipation of a “theory of proofs” in the current sense. But also, it can be asserted that Hertz’s systems played the role of a bridge between traditional formal logic and Gentzen’s logical work. Hertz’s philosophical ideas concerning the nature of logic and its place in scientific knowledge will be also analysed in this chapter.

Keywords

Ideal Element Deductive System Axiomatic System Proof Theory Sequent Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.IIEP-BAIRESCONICET and University of Buenos AiresBuenos AiresArgentina

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