Some reasons to reopen the question of the foundations of probability theory following Gian-Carlo Rota. (English) Zbl 1436.60005
Tahiri, Hassan (ed.), The philosophers and mathematics. Festschrift for Roshdi Rashed. Cham: Springer. Log. Epistemol. Unity Sci. 43, 145-187 (2018).
Summary: Roshdi Rashed’s work illustrates perfectly what can be a conscious and cautious practice of reflection, with the purpose of setting history of science (and mathematics) on renewed and deeper grounds (See the introduction, “Problems of method: history of science between history and epistemology”, in [R. Rashed, Classical mathematics from al-Khwārizmī to Descartes. Translated by Michael H. Shank. London: Routledge (2015; Zbl 1297.01001)]). This entails the methodical operations that he enumerates, such as enlargement towards undermined or ignored traditions (Chinese, Arab, Indian, etc.), careful and reasoned decompartmentalization of disciplines, correlative changes of periodization (without which the critique of scientific ideology and ideology of scientists would risk of falling back into some counter-ideological history, particular or general). (Europeocentrism for instance is twofold: promotion of the ambiguous and disputable notion of “western science” and ignorance or “minorization” of the contributions of non-western traditions. Rashed [loc. cit.] and appendices in The Notion of Western Science: “Science as a Western Phenomenon” and “Periodization in Classical Mathematics” Rashed [loc. cit.]) Among mathematicians, Gian-Carlo Rota is certainly both exceptional and, for this reason, exemplary. By choosing this perspective as a tribute, I hope that Roshdi Rashed will consider my comments not too unworthy. For any philosopher of science not insensitive to history of science, and for any historian not completely allergic to philosophical reflection, studying Rota’s contribution in the fields of logic and phenomenology reveals itself instructive and fruitful. Contrary to dominant trends amongst his colleagues, in his own way, Rota showed a strong and continuous interest in logic, history of science and philosophy.
For the entire collection see [Zbl 1403.00025].
For the entire collection see [Zbl 1403.00025].
MSC:
| 60A05 | Axioms; other general questions in probability |
| 00A30 | Philosophy of mathematics |
| 03A10 | Logic in the philosophy of science |
Citations:
Zbl 1297.01001References:
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