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Árpád szabó and Imre Lakatos, or the relation between history and philosophy of mathematics

András Máté

Perspectives on Science 14 (3):282-301 (2006)

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Lakatos between Marxism and the Hungarian heuristic tradition.Val Dusek - 2015 - Studies in East European Thought 67 (1-2):61-73.details Imre Lakatos gained fame in the English-speaking world as a follower and critic of philosopher of science Karl Popper. However, Lakatos’ background involved other philosophical and scientific sources from his native Hungary. Lakatos surreptitiously used Hegelian Marxism in his works on philosophy of science and mathematics, disguising it with the rhetoric of the Popper school. He also less surreptitiously incorporated, particularly in his treatment of mathematics, work of the strong tradition of heuristics in twentieth century Hungary. Both his Marxism and (...) Download Export citation Bookmark 3 citations
A missing link: The influence of László Kalmár's empirical view on Lakatos' philosophy of mathematics.Dezső Gurka - 2006 - Perspectives on Science 14 (3):263-281.details . The circumstance, that the text of Imre Lakatos' doctoral thesis from the University of Debrecen did not survive, makes the evaluation of his career in Hungary and the research of aspects of continuity of his lifework difficult. My paper tries to reconstruct these newer aspects of continuity, introducing the influence of László Kalmár the mathematician and his fellow student, and Sándor Karácsony the philosopher and his mentor on Lakatos' work. The connection between the understanding of the empirical basis of (...) Download Export citation Bookmark 6 citations
Lakatos’ philosophical work in Hungary.Gábor Kutrovátz - 2008 - Studies in East European Thought 60 (1-2):113-133.details This paper attempts to present a general picture of the most important philosophical elements found in the Hungarian writings of Imre Lakatos, later the famous philosopher of science in England, with a focus on his views on science and its social context. In the first section, Lakatos' life in Hungary is summarized, with a special emphasis on those few years when most of the Hungarian works were written. The second section offers a list of his Hungarian publications, each item accompanied (...) Download Export citation Bookmark
Are there Mathematical Thought Experiments?Marco Buzzoni - 2022 - Axiomathes 32 (1):79-94.details With reference to an already existing and relatively widespread use of the expression in question, mathematical “thought experiments” (“TEs”) involve mathematical reasoning in which visualisation plays a relatively more important role. But to ensure an unambiguous and consistent use of the term, certain conditions have to be met: (1) Contrary to what has happened so far in the literature, the distinction between logical-formal thinking and experimental-operational thinking must not be ignored; (2) The separation between the context of discovery and the (...) Download Export citation Bookmark
Objects and Processes in Mathematical Practice.Uwe V. Riss - 2011 - Foundations of Science 16 (4):337-351.details In this paper it is argued that the fundamental difference of the formal and the informal position in the philosophy of mathematics results from the collision of an object and a process centric perspective towards mathematics. This collision can be overcome by means of dialectical analysis, which shows that both perspectives essentially depend on each other. This is illustrated by the example of mathematical proof and its formal and informal nature. A short overview of the employed materialist dialectical approach is (...) Download Export citation Bookmark

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