Jerzy Łoś Positional Calculus and the Origin of Temporal Logic
DOI:
https://doi.org/10.12775/LLP.2018.013Keywords
positional logic, the realization operator R, temporal logicAbstract
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.References
Hiż, H., 1951, “Rev. J. Łoś, Podstawy analizy metodologicznej kanonów Milla”, Journal of Symbolic Logic 16: 58–59. DOI: 10.1007/10.2307/2268676
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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Øhrstrøm, P., and P.F.V. Hasle, 1995, Temporal Logic: From Ancient Ideas to Artificial Intelligence, Dordrecht, Kluwer Academic Publishers.
Øhrstrøm, P., and P.F.V. Hasle, 2006a, “A.N. Prior’s logic”, pages 399–446 in D.M. Gabbay and J. Woods (eds.), Handbook of the History of Logic, vol. 7, Amsterdam, Elsevier.
Øhrstrøm, P., and P.F.V. Hasle, 2006b, “Modern temporal logic: The philosophical background”, pages 447–498 in D.M. Gabbay and J. Woods (eds.), Handbook of the History of Logic, vol. 7, Amsterdam, Elsevier.
Prior, A.N., 1953, “Three-valued logic and future contingents”, Philosophical Quarterly 5: 205–213.
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Słupecki, J., 1953, “St. Leśniewski’s protothetics”, Studia Logica 1: 45–113. DOI: 10.1007/10.1007/BF02272275
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