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標題: Titlebook: Leibniz on the Parallel Postulate and the Foundations of Geometry; The Unpublished Manu Vincenzo De Risi Book 2016 Springer International P [打印本頁]

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作者: 晚來的提名    時間: 2025-3-21 21:47

作者: 針葉樹    時間: 2025-3-22 04:24
Book 2016and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history o
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Introductionally relevant. In Leibniz’ times, the text of Euclid’s Elements still represented the starting point for any advanced mathematical theory, including Leibniz’ most celebrated discovery, the Calculus. The Greek treatise, on the other hand, was also the main model for deductive reasoning, and the touch
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Reception and Legacyevelopments of Euclidean and non-Euclidean geometry was almost inexistent. Yet, we may find a few episodes in the history of mathematics that show at least an indirect (and perhaps misconceived) reception of Leibniz’ endeavors.
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Book 2016ticular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geomet
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The Theory of Parallel Lines in the Age of Leibnizght lines, if produced indefinitely, meet on the side on which are the angles less than the two right angles”. In Early Modern editions of Euclid, however, the Postulate was normally arranged among the ..
作者: 佛刊    時間: 2025-3-23 17:33
Leibniz’ Epistemology of Geometry and the Parallel Postulatethe role of an axiom as an indemonstrable statement, they claimed that geometrical principles were self-evident truths that . no proof to be accepted, but nevertheless were not . of proof. The dispute was more about the . to prove them than the possibility of doing this.
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https://doi.org/10.1007/978-3-319-19863-7Leibniz; history of epistemology; history of geometry; non-Euclidean geometry; theory of parallel lines
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Leibniz on the Parallel Postulate and the Foundations of Geometry978-3-319-19863-7Series ISSN 1421-6329 Series E-ISSN 2296-6080
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