Ἀξιώματα

axioms

Translated by Jennifer Benedict · 29 Nov 2000 · Vetting: high · 9 revisions

Translation

Thus Aristotle calls both the propositions requiring demonstration and the indemonstrable ones, as [is] his custom.¹

Greek original

Ἀξιώματα· οὕτως λέγει Ἀριστοτέλης καὶ τὰς δεομένας ἀποδείξεως προτάσεις, καὶ τὰς ἀναποδείκτους, ὡς ἔθος αὐτῷ.

Betacode

*)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=|.

Notes (1)

See already alpha 2827 (and cf. alpha 2825, alpha 2826).
1Alexander 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).

↩

References

J. Barnes, Aristotle, Posterior Analytics. Translated with a Commentary (Oxford 1994)

Neighbours in Adler order

α2825Ἀξίωμαpurpose, axiom, reputation α2826Ἀξίωμαrequest, prayer α2827Ἀξίωμαproposition α2828Ἀξιώματαaxioms α2829Ἀξιῶνdeeming α2830Ἀξίωσινreputation α2831Ἀξιώτεροςcheaper

Revisions (9)

2 Aug 2015David Whitehead
21 Mar 2012David Whitehead
29 Sep 2005Catharine Rothadded keyword
14 Jul 2003David Whiteheadaugmented x-refs; cosmetics
29 Aug 2002Marcelo BoeriExpanded note; added bibliography
29 Aug 2002Marcelo BoeriModified translation; added keywords
16 Aug 2002Catharine Rothadded note
29 Nov 2000Jennifer Benedicttranslated

Greek original

Betacode

*)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=|.

Notes (1)

See already alpha 2827 (and cf. alpha 2825, alpha 2826).

1Alexander 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).