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On the interpretations of Aristotelian categorical propositions in the predicate calculus

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References

  1. J. Łukasiewicz,Elements of Mathematical Logic, Oxford, Warszawa, 1963. Cf. Chap. V, pp. 103–117. (Reference is made here to a recent English-language edition, instead of the original Polish one, quoted by S. Jaśkowski-Ed.)

  2. S. Leśniewski,O podstawach matematyki cz. X, XI (On the Foundations of Mathematics, Parts X and XI), inPrzegląd Filozoficzny, Warszawa, 1931. By the same author,Über die Grundlagen der Ontologie, C. R. de Soc. Sc. Let. Varsovie Cl. III vol. 23, Warszawa, 1930, pp. 111–132.

  3. Concerning Brentano's theory seeT. Czeżowski,Przyczynek do sylogistyki Arystotelesa (A Contribution to Aristotles Syllogistic). Studia Soc. Sc. Torunensis, sec. A. vol. 2, pp. 65–76. Handbooks of logic often use the well-known names of syllogistic moods (e.g., Barbara) to theorems in the functional calculus.

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Communicated at the meeting of November 16, 1949

Editor's note. This paper appeared originally in Polish under the titleO interpretacjach zdań kategorycznych Arystotelesa w rachunku predykatów in Studia Societatis Scientiarum Torunensis, Sectio A, Vol. II, No. 3, Toruń 1950. The Polish text (published here in O. Wojtasiewicz's translation) was accompanied by a brief summary in English. This summary has been reprinted here without any changes.

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Jaśkowski, S. On the interpretations of Aristotelian categorical propositions in the predicate calculus. Stud Logica 24, 161–172 (1969). https://doi.org/10.1007/BF02134313

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