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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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Benedykt Bornstein’s Philosophy of Logic and Mathematics

Benedykt Bornstein’s Philosophy of Logic and Mathematics

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Benedykt Bornstein was a significant Polish philosopher who now is almost completely forgotten. Although he wrote his doctoral dissertation under the supervision of Kazimierz Twardowski, the founder of the famous Lvov–Warsaw School of Philosophy,115 he was not a member of this school – mainly because of his metaphysical views. In some way he was an individualist; his research did not follow the main trend.

Bornstein was born in Warsaw on 31 January 1880. He studied in Warsaw and Berlin. In 1907, he received his doctoral degree at the University of Lvov under the supervision of Kazimierz Twardowski. From 1915 he lectured on logic, epistemology and ontology within the framework of the Warsaw Society of Science Courses and from 1918 in the Free Polish University (Polish: Wolna Wszechnica Polska). From 1928 he also worked in the Łódź branch of the Free Polish University. After the Second World War, he held the Chair of Logic and Ontology at the University of Łódź. He died suddenly after a surgery in Łódź on 11 November 1948.

Bornstein’s scientific interests were on the border of philosophy and mathematics. His conceptions did not win recognition and greater interest of his contemporaries. He worked in relative isolation although he participated in philosophical congresses and published his works in the major periodicals both in Poland (such as Przegląd Filozoficzny, Wiedza i Życie, Przegląd Klasyczny) and abroad. His scientific activities can be divided into three periods: in the first one he translated...

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