Book, Paragraph

501     II, 9 |       proposition AB stands, A will belong to all C, since the first
502     II, 9 |            to no C, then A will not belong to some B. Again if B belongs
503     II, 9 |              and A to all B, A will belong to some C, so that the syllogism
504     II, 9 |             will be that A does not belong to some C. But the original
505     II, 9 |           is possible that A should belong to some C and also not to
506     II, 9 |            C, and A to no B, A will belong to no C: but it was assumed
507     II, 9 |            C: but it was assumed to belong to some C. Again if B belongs
508     II, 9 |             and A to some C, A will belong to some B. The same proof
509     II, 10|             assumed that A does not belong to some B, but B belongs
510     II, 10|            and C. Nor if A does not belong to some B, but belongs to
511     II, 10|             B to some C, A will not belong to some C: if A belongs
512     II, 10|           to no B, and to C, B will belong to no C.~Similarly if the
513     II, 10|         been proved that A does not belong to some B, BC being affirmative,
514     II, 10|          was supposed originally to belong to no C. Again if A belongs
515     II, 10|              but it was supposed to belong to all C. A similar proof
516     II, 10|              but it was supposed to belong to no C. Again if A belongs
517     II, 10|            C: but it was assumed to belong to some C. If A belongs
518     II, 11|            supposed that A does not belong to all B or belongs to no
519     II, 11|            supposed that A does not belong to all B, no syllogism results
520     II, 11|            supposed that A does not belong to all B. Consequently it
521     II, 11|             necessary that A should belong to no C or not to all C.
522     II, 11|             necessary that A should belong to some B. But if the other
523     II, 11|      supposed, e.g. that A does not belong to some B. Clearly then
524     II, 11|        necessary then that C should belong to some B. But let this
525     II, 11|        necessary then that C should belong to all B. But this is impossible,
526     II, 11|             to no B, if it does not belong to all B. Similarly if the
527     II, 11|            To prove that A does not belong to all B, we must suppose
528     II, 11|             C to all A, then C will belong to some B. If then this
529     II, 11|             to some B, and does not belong to some B. Further the impossible
530     II, 11|             proving that A does not belong to some B: for if "not to
531     II, 11|           to some B: for if "not to belong to some" and "to belong
532     II, 11|             belong to some" and "to belong not to all" have the same
533     II, 12|             Suppose that A does not belong to all B, and let it have
534     II, 12|            but to all C, C will not belong to all B. But this is impossible (
535     II, 12|             B, and to all C, C will belong to no B. This is impossible;
536     II, 12|          belongs to no B, and let A belong to all C. It is necessary
537     II, 12|        necessary then that C should belong to no B. Consequently, if
538     II, 12|          this is impossible, A must belong to some B. But if it is
539     II, 12|            supposed that A does not belong to some B, we shall have
540     II, 12|        belongs to some B, and let A belong to no C. It is necessary
541     II, 12|    necessary then that C should not belong to some B. But originally
542     II, 12|    hypothesis is false: A then will belong to no B.~When A does not
543     II, 12|            to no B.~When A does not belong to an B, suppose it does
544     II, 12|            to an B, suppose it does belong to all B, and to no C. It
545     II, 12|        necessary then that C should belong to no B. But this is impossible:
546     II, 12|             is true that A does not belong to all B. It is clear then
547     II, 13|             Suppose that A does not belong to some B, but C belongs
548     II, 13|           to all B: then A does not belong to some C. If then this
549     II, 13|            is false that A does not belong to some B; so that it is
550     II, 13|             and C to some B, A will belong not to all C. If then this
551     II, 13|             necessary that A should belong to some C. But ex hypothesi
552     II, 14|           that A has been proved to belong to no B, or not to all B,
553     II, 14|           if has been proved not to belong to all B. For the hypothesis
554     II, 14|          impossible. But if A and B belong to all C, we have the last
555     II, 14|         these premisses that A must belong to some B. Similarly if
556     II, 14|           or A should be assumed to belong to some C.~Again suppose
557     II, 14|          been given that A does not belong to some B, we may infer
558     II, 15|             be reversed; e.g. A may belong to all B and to no C, or
559     II, 16|           should assume that A does belong to B, it is not yet clear
560     II, 16|      predicates which are identical belong to the same subject, or
561     II, 17|            impossible that A should belong to D, the false conclusion
562     II, 17|            impossible that F should belong to B, the impossible conclusion
563     II, 21|           the same predicate should belong to more than one subject
564     II, 21|            nature, and that B and C belong to all D in the same way.
565     II, 21|            the middle term does not belong to the same series, it is
566     II, 21|           to no C, and both B and C belong to all D. For it turns out
567     II, 21|           he thinks that A does not belong to some of that to which
568     II, 21|        again thinks that A does not belong to some of that to which
569     II, 21|              and B to all C, A will belong to all C. If then a man
570     II, 21|            thinking that A does not belong to C, e.g. knowing that
571     II, 22|        belongs to C, but A does not belong to B, neither will A belong
572     II, 22|         belong to B, neither will A belong to C. If then B is convertible
573     II, 22|          with A. Suppose B does not belong to A; neither then will
574     II, 22|             belongs: but C does not belong to that to which A belongs.
575     II, 22|           and D, and if A or C must belong to anything whatever, then
576     II, 22|         everything, but they cannot belong together, then when A and
577     II, 22|      convertible. For if B does not belong to something to which D
578     II, 22|      convertible. Therefore C and D belong together. But this is impossible.
579     II, 22|          itself. Again when A and B belong to the whole of C, and C
580     II, 22|             necessary that A should belong to all B: for since A belongs
581     II, 22|             B by conversion, A will belong to all B.~When, of two opposites
582     II, 23|             necessary that A should belong to B. For it has already
583     II, 23|           proved that if two things belong to the same thing, and the
584     II, 23|            the other predicate will belong to the predicate that is
585     II, 23|            proves the major term to belong to the third term by means
586     II, 23|          former proves the major to belong to the middle by means of
587     II, 24|             major term is proved to belong to the middle by means of
588     II, 27|         large extremities: this may belong to other kinds also though
589     II, 27|          affection? Perhaps if both belong to some other kind though