Benedykt Bornstein’s Philosophy of Logic and Mathematics

被引：0
作者：
Roman Murawski
机构：
[1] Adam Mickiewicz University,Faculty of Mathematics and Computer Science
来源：
Axiomathes | 2014年 / 24卷
关键词：
Bornstein; Philosophy of logic; Philosophy of mathematics;
D O I：
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学科分类号：
摘要：
The aim of this paper is to present and discuss main philosophical ideas concerning logic and mathematics of a significant but forgotten Polish philosopher Benedykt Bornstein. He received his doctoral degree with Kazimierz Twardowski but is not included into the Lvov–Warsaw School of Philosophy founded by the latter. His philosophical views were unique and quite different from the views of main representatives of Lvov–Warsaw School. We shall discuss Bornstein’s considerations on the philosophy of geometry, on the infinity, on the foundations of set theory and his polemics with Stanisław Leśniewski as well as his conception of a geometrization of logic, of the categorial logic and of the mathematics of quality.
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页码：549 / 558
页数：9
相关论文
共 6 条
  • [1] Bornstein B(1913)Problemat istnienia linji geometrycznych [The Problem of the Existence of Geometrical Lines] Przegląd Filozoficzny 16 64-73
  • [2] Bornstein B(1914)Podstawy filozoficzne teorji mnogości [The Philosophical Foundations of Set Theory] Przegląd Filozoficzny 17 183-193
  • [3] Bornstein B(1915)W sprawie recenzji p. Stanisława Leśniewskiego rozprawy mojej pt. “Podstawy filozoficzne teorji mnogości” [On Mr Stanisław Leśniewski’s Review of My Dissertation ‘The Philosophical Foundations of Set Theory’] Przegląd Filozoficzny 18 121-140
  • [4] Bornstein B(1922)Zarys architektoniki i geometrji świata logicznego [Outline of Architectonics and Geometry of the Logical World] Przegląd Filozoficzny 25 475-490
  • [5] Bornstein B(1926)Geometrja logiki kategorialnej i jej znaczenie dla filozofii [Geometry of Categorial Logic and Its Importance for Philosophy] Przegląd Filozoficzny 29 173-194
  • [6] Śleziński K(2010)Bornsteinowska koncepcja podstaw teorii mnogości. Krytyka Stanisława Leśniewskiego i polemika Benedykta Bornsteina [Bornstein’s Conception of the Foundations of Set Theory. Stanisław Leśniewski’s Critique and Benedykt Bornstein’s Polemics] Studia z Filozofii Polskiej 5 97-112
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