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Axi­om
(143 words)

[German version]

In the same way as postulates, axioms were presumably introduced in conflict with Eleatic philosophy in order to enable the acceptance of the existence of the manifold [1. 322-325; 2; 3]. According to Aristotle, axioms are central to every branch of knowledge, particularly the law of contradiction and the principle of the excluded middle (Metaph. Γ 3,1005a19-b27); for the organization of the fundamental principles of a branch of knowledge wherein proof is sought see Aristot. An. p…

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Folkerts, Menso (Munich), “Axi­om”, in: Brill’s New Pauly, Antiquity volumes edited by: Hubert Cancik and , Helmuth Schneider, English Edition by: Christine F. Salazar, Classical Tradition volumes edited by: Manfred Landfester, English Edition by: Francis G. Gentry. Consulted online on 25 September 2020 <http://dx.doi.org/10.1163/1574-9347_bnp_e210730>
First published online: 2006
First print edition: 9789004122598, 20110510



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