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Lógos and Máthēma 2

Studies in the Philosophy of Logic and Mathematics

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Roman Murawski

The volume consists of thirteen papers devoted to various problems of the philosophy of logic and mathematics. They can be divided into two groups. The first group contains papers devoted to some general problems of the philosophy of mathematics whereas the second group – papers devoted to the history of logic in Poland and to the work of Polish logicians and math-ematicians in the philosophy of mathematics and logic. Among considered problems are: meaning of reverse mathematics, proof in mathematics, the status of Church’s Thesis, phenomenology in the philosophy of mathematics, mathematics vs. theology, the problem of truth, philosophy of logic and mathematics in the interwar Poland.
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Cracow Circle and Its Philosophy of Logic and Mathematics

Cracow Circle and Its Philosophy of Logic and Mathematics

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1. The term “Cracow Circle” is used to describe a group of scientists who tried to apply the methods of modern formal/mathematical logic to philosophical and theological problems, in particular they attempted to modernize the contemporary Thomism (the trend which was then prevailing) by the logical tools. The group consisted of: the Dominican Father Józef (Innocenty) M. Bocheński,143 Rev. Jan Salamucha,144 Jan Franciszek Drewnowski145 and the logician Bolesław ←163 | 164→Sobociński who collaborated with them. 26 August 1936 is regarded as the foundation date of the Cracow Circle.146 On that day a special meeting was held during the Third Philosophical Congress in Cracow. The meeting gathered 32 people, including professors of philosophy of the theological academies and major theological seminaries as well as the future members of the Circle. It was presided over by the outstanding philosopher and specialist in Medieval studies Rev. Konstanty Michalski. Another participant was Jan Łukasiewicz, one of the key representatives of the Lvov–Warsaw Philosophical School147 – specifically of the Warsaw School of Logic – who himself had dealt with philosophy and formulated a program of a radical reform of this domain, suggesting the use of the methods of modern logic. Łukasiewicz formulated this program in the paper ,,O metodę w filozofii” [On Method in Philosophy] (1927). During the meeting Łukasiewicz, Bocheński, Salamucha and Drewnowski presented their views and then a discussion was held. The proceedings were published in 1937 in volume 15 of Studia Gnesnensia under the title My...

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