By Joseph M. Bocheński
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Extra info for Ancient Formal Logic
3 3 i i b . - 34 An. Pr. ; actually: ‘ M a s . SiPI. - 35 ib. 11; actually: ‘MiS. M a p . Sip’. - ib. 17g. ; actually : ‘Mas. SOP’. - 87 ib. 33f. - 38 An. Pr. A 7 , 29 a 238. 24 FORMAL LAWS O F ASSERTORIC SYLLOGISTICS * 9. 67. * 9. 68. * 9. 69. 3. 3. PeS 53 (Baralipton) (Dabitis) (Celantes) 39 It is worth while to note, however, that assuming the Aristotelian theory of the major and minor term (ch. SC) it allows for the following laws : [9. 1 [9. 1 [9. 1 [9. 1 [9. 3. 3. PeX M a p . M a s . M a s .
G. Phys. 0 8, 263 b 13; Met. A 10, 9 9 3 a 17; B 2, 996 b 8 ; r 7, 1012 a 23; N 1, 1087 b 12; cp. Bonitz 433 b 488. - ‘8 De In$. 3, 16 b 228. - 4O De Int. 10, 20 a 12ff. 30 ARISTOTLE On the other hand words are divided into univocal (awvchvwpa) where the meaning ( A d y o ~ is ) the same in several designatam and ambiguous (dphvwpa, zoAAa& Asydpeva) where this is not the cme 51. The latter are subdivided into (1) accidentally ambiguous (&d zdxqg) 52 which are sometimes called dp6vvpa in a narrower sense 53 and (2) another class of words which we may call (‘systematically ambiguous”.
Then A and B will never belong to the same thing” following terms : (x, 7. 11. 19. - (v* This may be stated in the p). Among the metalogical formulations we have : “contradictory statements are not true together’’20 and “it is not possible to assert and deny the same” 21. The latter was sometimes considered as a psychological law 22, but it may be doubted if it was meant to be one by Aristotle. We may formulate it as follows: 7 . 12. but 7. 13. - - ( T ‘ p 1 . TrSoP1). TrSiP1) would be probably more accurate.