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  • 标题:"The Chemistry of Platonic Triangles
  • 本地全文:下载
  • 作者:D. Robert Lloyd
  • 期刊名称:Hyle : International Journal for Philosophy of Chemistry
  • 印刷版ISSN:1433-5158
  • 出版年度:2007
  • 卷号:13
  • 期号:2
  • 页码:99-118
  • 出版社:HYLE Publications, Karlsruhe and University of Karlsruhe
  • 摘要:Plato's geometrical theory of what we now call chemistry, set out in the Timaeus, uses triangles, his stoicheia, as the fundamental units with which he constructs his four elements. A paper claiming that these triangles can be divided indefinitely is criticized; the claim of an error here in the commentary by F.M. Cornford is unfounded. Plato's constructions of the elements are ana-lyzed using simple point group theory. His procedure generates fully symmet-ric polyhedra, but Cornford's 'simpler' alterna tives generate polyhedra with low symmetries and multiple isomeric forms. However, Cornford's principle of constructing larger triangles by assembling smaller ones is still valid
  • 关键词:Plato's chemistry; elements; F. M. Cornford; group theory; Platonic ;solids.
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