Studies in the Philosophy of Mathematics and History of Logic
Part IV: Mathematical Logic in Poland
Part IV Mathematical Logic in Poland Stanisław Piątkiewicz and the Beginnings of Mathematical Logic in Poland Co-authored by Tadeusz Batóg The paper presents information on the life and work of Stanisław Piątkiewicz (1849– ?). His Algebra w logice [Algebra in Logic] of 1888 contains an exposition of the algebra of logic and its use in representing syllogisms. This was the first original Polish publication on symbolic logic. It appeared 20 years before analogous works by Łukasiewicz and Stamm. 1. Traditional Views on the Origins of Mathematical Logic in Poland The successes of Polish logic after the First World War stimulated several authors to investigate its origins. All of them credited the beginnings of logic in Poland to Kazimierz Twardowski (1866–1938), who founded the Lvov-Warsaw school of philosophy while a professor at Lvov University, and to Jan Łukasiewicz (1878– 1956), a logician who was a professor of philosophy at Warsaw University. Thus Adjukiewicz, for example, wrote in (1934, p 401): “Łukasiewicz, well-educated not only in philosophy but also in mathematics, became a discoverer of logistic for Poland. Perhaps this resulted from the influence of Twardowski, who was the first in Poland to speak about the algebra of logic, doing so in his universi- ty lectures in [...] 1899–1900”. Likewise, Ingarden remarked in (1938, p. 28): “Twardowski was the first in Poland [...] to lecture about new attempts to reform logic”. Other authors writing on this subject have generally accepted the claims of Ajdukiewicz and Ingarden. Such was...
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