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By Roman Murawski
The goal of this publication is to provide and research philosophical conceptions bearing on arithmetic and common sense as formulated via Polish logicians, mathematicians and philosophers within the Nineteen Twenties and Nineteen Thirties. It was once a amazing interval within the heritage of Polish technology, specifically within the historical past of Polish good judgment and arithmetic. for that reason, it's justified to invite no matter if and to what volume the advance of common sense and arithmetic used to be observed by means of a philosophical mirrored image. we attempt to reply to these questions via interpreting either works of Polish logicians and mathematicians who've a philosophical temperament in addition to their study perform. Works and philosophical perspectives of the next Polish scientists should be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. to point the history of scientists being energetic within the Twenties and Thirties we think about in bankruptcy 1 a few predecessors, particularly: Jan Śniadecki, Józef Maria Hoene-Wroński, Samuel Dickstein and Edward Stamm.
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The science of forms of pure thought) using the mathematical method; speaking more strictly: method, which so far only mathematics has applied on a large scale’ (1915a, p. 449). 9 In the discussed paper Janiszewski focuses on facts from the history of logistics and its most important achievements. He stresses that attacks on mathematical logic and undermining its significance are not supported by any serious arguments, and ‘the funny, full of deeper thoughts, but mischievous chapters of the book Science et me´thode by Poincare´, concerning discussing logistics, are rather satire than criticism’ (1915a, p.
39). It is worth asking what the reception of Dickstein’s work was. It could have been read because of its author who was respected and honoured by the Polish mathematical environment. On the other hand, it was very rarely referred to, which might have been influenced by the fact that Dickstein, like Pia˛tkiewicz or Stamm (presented in Sect. 50 This situation did not allow him to exert any influence. Nevertheless, Dickstein’s monograph is a clear sign of the growth of interest in the foundations of mathematics in Poland.
10 It is of interest to note his commentaries on the relations between logic and mathematics as well as his standpoint concerning the status of logic. Janiszewski is (c) w niekto´rych działach (np. ’ 9 He even adds that ‘it became the cause of unpopularity of logistics among philosophers’ (1915a, p. 450). 10 Poincare´ wrote in Science and Method (1914, Book II, Chapter III: Mathematics and Logic, Paragraph VII; Pasigraphy): ‘The essential element of this language consists in certain algebraical signs which represent the conjuctions: if, and, or, therefore.