By Joseph M. Bocheński
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27. * 9. 28. * 9. 29. S a p 3 -SeP2 S a p 3 -SoP3 S a p 3 SOP 4 SeP 3 -Sap SeP 3 -Sip6 NSeP 3SiP7 S i p 3 -SePB S i p 3 SeP SOP3 - S a p lo SOP3 Sap 11 N N The following laws state the opposition between sentences containing the names of complementary classes : * 9. 30. * 9. 31. 8 false. I n the De Int. we find the following laws of obversion: 9. 32. 9. 33. 9. 34. Sa - P 3 SeP l6 S i p 3 --aP l7 5 & P 3 x & -P 18 - An. Pr. A 1 , 24 b 28-29. - An. Pr. , 238. - a An. Pr. B 12, 62 a 38f. - An. Pr.
1 4 (9. 12), 11. 11 (9. 13), 11. 12 (9. 14). Perhaps also the (later) so called “dictum de omni” (“we say that one term is predicated of all another whenever no instance of the subject can be found of 50 ARISTOTLE which the other term cannot be asserted”‘) might be considered as something equivalent to those laws - in spite of the fact it was stated by Aristotle as a definition. The laws of opposition proper are frequently stated and used, but no attempt is made to axiomatize them. We have: * 9.
3 . SOP (Darapti) 32 (Felapton) 33 (Disamis) 34 (Datisi) 35 (Bocardo) 36 (Ferison). 37 Second Figure : * 9. 55. * 9. 56. * 9. 57. * 9. 58. Third Figure : * 9. 59. * 9. 60. * 9. 61. * 9. 62. * 9. 63. * 9. 64. Later on he noted that in the first figure we may also have: * 9. 65. * 9. 66. SeM. SeM. PoS (Fapesmo) 38 (Frisesomorum) 38 and more siniilar laws by use of 9. 41-43. This last rule is not applied in detail by Aristotle, who states only three laws: 23 We give also the usual scholastic names (due t o Peter of Spain).