On Aristotle Posterior Analytics 1.9-18 (Ancient Commentators on Aristotle)
Philoponus
Language: English
Pages: 206
ISBN: 2:00311316
Format: PDF / Kindle (mobi) / ePub
In this part of the Posterior Analytics, Aristotle elaborates his assessment of how universal truths of science can be scientifically explained as inevitable in demonstrative proofs. But he introduces complications: some sciences discuss phenomena that can only be explained by higher sciences and again sometimes we reason out a cause from an effect, rather than an effect from a cause. Philoponus takes these issues further. Reasoning from particular to universal is the direction taken by induction, and in mathematics reasoning from a theorem to the higher principles from which it follows is considered particularly valuable. It corresponds to the direction of analysis, as opposed to synthesis.
This volume contains an English translation of Philoponus' commentary, a detailed introduction, extensive explanatory notes and a bibliography.
The Life of Reason, Volumes 1-5
Gilles Deleuze: Affirmation in Philosophy
has proved to be not immediate. 15 20 25 79a39-b1 } (for it is possible that A is in something as in a whole but that B is not in this) [there will be a deduction of A’s not belonging to B. For if C belongs to all A and to no B, A belongs to no B.] Since he said that A is ‘in C as in a whole’ and B is in no C, and since contrasted species are both denied of one another and are included under the same species (as rational belongs to nothing irrational, nor does irrational to anything rational,
specified at 73b26-74a32) demonstrations in mind, P. interprets the passage as requiring that the terms in all premises must convert. Here and elsewhere (see n. 385) he does not recognize that in a fully worked out genus/species tree schema, the connection between a genus and the species falling immediately under it is immediate, and so provides a suitable (albeit non-convertible) premise for a demonstration. 4. The definition of inscribed figures neglects to specify that the vertices are points
to Bryson’s principle in itself (whatever it was) but only to its use in the particular case because it is not specifically geometrical but is of wider application. But it is difficult to see why it is less legitimate to use it (if true) in a particular application than it is to use, in like circumstances, the axiom that ‘things which are equal to the same thing are equal to one another’, the ‘common axiom’ which Aristotle is constantly citing. It seems, on the whole, that we are not really in
display: deiknunai disposed, be: diakeisthai disposition: diathesis dissimilar: anomoios dissimilar form, of: anomoioskhêmôn dissimilarity: anomoiotês distance: apostasis, diastasis, diastêma distinction: diakrisis distinguish: diairein, diakrinein distinguishing, way of: diakrisis divide: diairein division: diairesis division, be a coordinate member of: antidiêirêsthai do: poiein doctor: iatros doctrine: didaskalia done, be: ginesthai draw: agein, graphein, katagraphein draw a conclusion:
190,15; 199,18; 209,16.21; 212,1.5; 216,18; ou dunaton, impossible, 169,23 dunein, set, 167,3.5.6.8.11.14.15.16; 168,9.10.11(bis); 177,31; 180,21.22.23.24 duskherainein, have difficulty, 182,23 duskherês, difficult, 162,32 Greek-English Index êelios, sun, 156,19 eidenai, know(o) 120,14.16; 129,19; 146,6.10.15.16.18.19(bis).27.28.30; 147,3; 150,8.24; 151,14; 154,24(bis); 155,17; 159,18; 179,20.21; 180,8.14.18.19.20(bis); 181,25; 182,1*; 183,1; 186,5; 191,15.16.21.22.23(bis); 198,23; 202,11;
