卢卡-帕乔利的《总结》(1494 年)和《神比例大全》(1498 年)中规则几何体的形式和物质

IF 0.5 2区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE
Giacomo Damiani
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引用次数: 0

摘要

卢卡-帕乔利(Luca Pacioli,约 1447-1517 年)被广泛认为是意大利文艺复兴时期,尤其是实用数学史上的核心人物。达芬奇为帕乔利的《神比例大全》所绘制的几何体透视图也经常被用来说明 15 世纪晚期视觉艺术与数学之间的关系。然而,尽管学术界越来越关注帕乔利,但他作品的哲学框架仍值得进一步探讨。本文讨论了帕乔利如何依靠以亚里士多德为主导的哲学框架,干练地发展了他关于规则几何体的论点。通过这种方式,帕乔利在正则几何体的数量、物质和形式属性之间建立了关联,并最终在智力层面上将其(几何定义的)形式形象化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Form and Matter of Regular Geometrical Bodies in Luca Pacioli’s Summa (1494) and Compendium de divina proportione (1498)

Luca Pacioli (ca. 1447–1517) is widely considered a central figure in the Italian Renaissance, particularly in the history of practical mathematics. The perspectival representations of geometrical bodies that Leonardo da Vinci drew for Pacioli’s Compendium de divina proportione are, in turn, often singled out to illustrate the relationships between the visual arts and mathematics in the late fifteenth century. Yet despite increasing scholarly attention, the philosophical framework of Pacioli’s works deserves to be further explored. This paper discusses how Pacioli ably developed his arguments on regular geometrical bodies by relying on a predominantly Aristotelian philosophical framework. In this way, Pacioli established correlations among the quantitative, material, and formal properties of regular geometrical bodies, concluding with the visualisation of their (geometrically defined) form at the level of the intellect.

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来源期刊
Early Science and Medicine
Early Science and Medicine HISTORY & PHILOSOPHY OF SCIENCE-
CiteScore
0.50
自引率
0.00%
发文量
22
审稿时长
>12 weeks
期刊介绍: Early Science and Medicine (ESM) is a peer-reviewed international journal dedicated to the history of science, medicine and technology from the earliest times through to the end of the eighteenth century. The need to treat in a single journal all aspects of scientific activity and thought to the eighteenth century is due to two factors: to the continued importance of ancient sources throughout the Middle Ages and the early modern period, and to the comparably low degree of specialization and the high degree of disciplinary interdependence characterizing the period before the professionalization of science.
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