2022年4月6日系学术例会第114期纪要:Alberto Bardi主讲

2022年4月6日系学术例会第114期纪要:Alberto Bardi主讲已关闭评论2,648
2022年4月6日系学术例会第114期纪要:Alberto Bardi主讲

Alberto Bardi主讲

Alberto Bardi’s departmental talk, entitled “Copernicus’s Axioms? Tradition and Intuition in the History and Philosophy of Western Mathematical Sciences” explored the history of the debates about the foundations of western mathematical sciences, a locus where logic, philosophy, and mathematics meet. In this wide context, ranging from Euclid to Solomon Feferman, Bardi’s research focused on a case study in the history of astronomy, which concerns the seven unproved assumptions provided in the introduction of the brief Copernican treatise, entitled Nicolaus Copernicus’ draft on the models of celestial motions established by himself, better known as Commentariolus (ca. 1515). These assumptions deal with the renowned Copernican hypothesis of considering the Earth in motion and the Sun, not affected by motion, near the center of the universe. Although Copernicus has decided to omit the proofs for the sake of brevity (proofs will appear later in De Revolutionibus), the deductions in the Commentariolus are supposed to be drawn from the initial seven assumptions. Copernicus refers to them with the Latin word petitiones and apparently understand them as an equivalent of axiomata (axioms) (Lat. […] petitiones quas axiomata vocant). The nature and the logic of those assumptions have triggered debates among scholars. Are they postulates, axioms, or what else? Notably, Noel Swerdlow claimed that Copernicus has called them incorrectly as axioms and has made more assumptions than were necessary, pointing out problems of internal logic and axiomatic rigor. Edward Rosen, in reply to Swerdlow’s interpretation, defended Copernicus’ choices and charged Swerdlow of anachronism. Later on, André Goddu, Mathias Vesel, Michelle-Pierre Lerner, Alain Segonds, and others, provided further interpretations of Copernicus’ assumptions. Bardi has provided a new interpretation based on philological research he conducted on manuscripts of ancient and medieval mathematical sciences and philosophy. In addition to evidence of historico-philological character, Bardi has constructed an interpretive framework building upon recent studies of philosophy of mathematical practice.

 

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  • 本文由 发表于 2022年4月8日 11:08:21
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