Abstract
It may seem surprising that the first formalized system aimed at capturing basic laws of thought and rules for reasoning had been conceived before the propositional calculus was recognized as a legitimate subject of independent study by the Stoic school. But such had been the case with the system of logic created by Aristotle of Stagira and known as The Syllogistic. One of reasons seems to be that propositional calculus was used by Aristotle intuitively, as a tool not in need of formalization, in his reasoning about syllogisms and the necessity for its more formal study had not been felt before the Stoic school undertook such a study.
To find out what is natural, we must study specimens which retain their nature and not those which have been corrupted
Aristotle, Politics, I, V
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Works quoted
I. M. Bocheński, A History of Formal Logic, Notre Dame Univ. Press, 1961.
Jan Łukasiewicz, Elements of Mathematical Logic,Oxford — Warsaw, 1963
Jan Łukasiewicz, Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic,2nd ed., Oxford, 1957.
Jan Łukasiewicz, On Aristotle’s Syllogistic, (in Polish), Compt. Rend. Acad. Polon. Lettr., Cracovie, 44 (1939).
J. Slupecki, On Aristotle’s Syllogistic, Studia Philosophica (Poznan), 4(1949–50), pp. 275–300.
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Polkowski, L. (2002). Logical Theory of Approximations. In: Rough Sets. Advances in Soft Computing, vol 15. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1776-8_3
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DOI: https://doi.org/10.1007/978-3-7908-1776-8_3
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