| 书目名称 | Euclid‘s Heritage. Is Space Three-Dimensional? | | 编辑 | Peter Janich | | 视频video | | | 丛书名称 | The Western Ontario Series in Philosophy of Science | | 图书封面 |  | | 描述 | We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid‘s ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our ‘moving abouts‘), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we know that the space we live in has just these three dimensions? It is theoreti cally possible that some spaces might exist that are not correctly described by Euclidean geometry. After all, there are the non Euclidian geometries, descriptions of spaces not conforming to the axioms and theorems of Euclid‘s geometry. As one might expect, there is a history of philosophers‘ attempts to ‘prove‘ that space is three-dimensional. The present volume surveys these attempts from Aristotle, through Leibniz and Kant, to more recent philosophy. As you will learn, the historical theories are rife with terminology, with language, already tainted by the as sumed, but by no means obvious, clarity of terms like ‘dimension‘, ‘line‘, ‘point‘ and others. Prior to that language there are actions, ways of getti | | 出版日期 | Book 1992 | | 关键词 | Euclid; antiquity; art; concept; construction; drawing; history; history of literature; history of mathemati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8096-0 | | isbn_softcover | 978-90-481-4217-0 | | isbn_ebook | 978-94-015-8096-0Series ISSN 1566-659X Series E-ISSN 2215-1974 | | issn_series | 1566-659X | | copyright | Springer Science+Business Media B.V. 1992 |
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发表于 2025-3-21 19:08:40
