Jerzy Łoś Positional Calculus and the Origin of Temporal Logic

• Authors: Tkaczyk Marcin , Jarmużek Tomasz
• Languages of publication: EN

Abstracts

EN

Most accounts, including leading textbooks, credit Arthur Norman Prior with the invention of temporal (tense logic). However, (i) Jerzy Łoś delivered his version of temporal logic in 1947, several years before Prior; (ii) Henrk Hiż’s review of Łoś’s system in Journal of Symbolic Logic was published as early as 1951; (iii) there is evidence to the effect that, when constructing his tense calculi, Prior was aware of Łoś’s system. Therefore, although Prior is certainly a key figure in the history tense logic, as well as modal logic in general, it should be accepted both in the literature that temporal logic was invented by Jerzy Łoś.

Keywords

EN

positional logic; the realization operator R; temporal logic

• Publisher: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Journal: Logic and Logical Philosophy
• Year: 2019
• Volume: 28
• Issue: 2
• Pages: 259-276

Dates

published

2019-06-15

Contributors

author

Tkaczyk Marcin

• Departament of Logic Faculty of Philosophy The John Paul II Catholic University of Lublin, Poland

author

Jarmużek Tomasz

• Departament of Logic Nicolaus Copernicus University in Toruń, Poland

References

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• Jarmużek, T., and A. Pietruszczak, 2004, “Completenes of minimal positional calculus”, Logic and Logical Philosophy 13: 147–162. DOI: 10.1007/10.12775/LLP.2004.009
• Łoś, J., 1947, “Podstawy analizy metodologicznej kanonów Milla”, Annales Universitatis Mariae Curie Sectio F, vol. II, 5: 269–301. PDF
• Łoś, J., 1977, “The foundations of a methodological analysis of Mill’s methods”, pages 291–325 in M. Przełęcki and R. Wójcicki (eds.), Twenty-Five Years of Logical Methodology in Poland, D. Reidel Publishing Company. English version of [Łoś, 1947].
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