The Definitions of Fundamental Geometric Entities Contained in Book I of Euclids Elements |
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Authors: | Lucio Russo |
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Institution: | (1) Dipartimento di Matematica Università di Roma Tor Vergata Via della ricerca scientifica I - 00133 Roma, Italy, IT |
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Abstract: | OElig;he thesis is sustained that the definitions of fundamental geometric entities which open Euclids Elements actually are excerpts from the Definitions by Heron of Alexandria, interpolated in late antiquity into Euclids treatise. As a consequence, one of the main bases of
the traditional Platonist interpretation of Euclid is refuted. Arguments about the constructivist nature of Euclids mathematical
philosophy are given.
(Received June 6, 1997) |
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