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Headword: *)aciw/mata
Adler number: alpha,2828
Translated headword: axioms
Vetting Status: high
Thus Aristotle calls both the propositions requiring demonstration and the indemonstrable ones, as [is] his custom.[1]
Greek Original:
*)aciw/mata: ou(/tws le/gei *)aristote/lhs kai\ ta\s deome/nas a)podei/cews prota/seis, kai\ ta\s a)napodei/ktous, w(s e)/qos au)tw=|.
See already alpha 2827 (and cf. alpha 2825, alpha 2826).
[1] Alexander of Aphrodisias, Commentaries on Aristotle's Topica 547.21-22. In the Posterior Analytics Aristotle speaks of two types of indemonstrable propositions: (1) the axioms, i.e. those principles that a learner must already have if he or she is willing to learn any scientific discipline (An.Post. 72a17; see also Metaphysics 1005a20. These indemonstrable axioms include the general laws of thought, such as the principle of non-contradiction and the law of the excluded middle; see An.Post. 71a13-14; Met. 1005b19-20). (2) What Aristotle understands as the peculiar principles of a scientific discipline, i.e. some items that are proper to each particular science. For instance, arithmetic assumes the existence of units, geometry that of points and lines (An.Post. 76a37-76b5).
J. Barnes, Aristotle, Posterior Analytics. Translated with a Commentary (Oxford 1994)
Keywords: definition; dialects, grammar, and etymology; mathematics; philosophy
Translated by: Jennifer Benedict on 29 November 2000@21:49:30.
Vetted by:
Catharine Roth (added note) on 16 August 2002@01:52:01.
Marcelo Boeri (Modified translation; added keywords) on 29 August 2002@01:25:13.
Marcelo Boeri (Expanded note; added bibliography) on 29 August 2002@03:08:18.
David Whitehead (augmented x-refs; cosmetics) on 14 July 2003@07:34:22.
Catharine Roth (added keyword) on 29 September 2005@11:26:32.
David Whitehead on 21 March 2012@08:27:17.
David Whitehead on 2 August 2015@06:15:18.


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