Book, Paragraph

  1      I, 2 |               no B could be A. But we assumed that every B is A. Similarly
  2      I, 4 |                and since if terms are assumed such that no C is B, no
  3      I, 5 |             belong to no M: but M was assumed to belong to all O: consequently
  4      I, 5 |               belong to all O: but we assumed that M does not belong to
  5      I, 5 |          would belong to no O: but we assumed that it belongs to some
  6      I, 5 |             terms of necessity or are assumed as hypotheses, i.e. when
  7      I, 6 |               belong to all S: but we assumed that it did not. Proof is
  8      I, 6 |              belong to some R: but we assumed that it belongs to no R.
  9      I, 6 |             belongs to some S: but we assumed that it belongs to no S.
 10      I, 9 |              falls under B, and A was assumed to belong necessarily to
 11      I, 10|              A, if it is true (as was assumed) that A necessarily belongs
 12      I, 10|              and let the premisses be assumed to correspond to what we
 13      I, 12|        necessary or simple premiss is assumed.~
 14      I, 13|              not necessary but, being assumed, results in nothing impossible.
 15      I, 13|               thus both premisses are assumed in the mode of possibility;
 16      I, 14|            results from the premisses assumed, but if the premiss BC is
 17      I, 14|            syllogism results from the assumed premisses, but if they are
 18      I, 14|              does not result from the assumed premisses, but if the particular
 19      I, 14|               if the premisses are as assumed, the major term is both
 20      I, 15|       proceeds not from the premisses assumed. First we must state that
 21      I, 15|               s possibility (and A is assumed to be possible), consequently
 22      I, 15|              third degree. But it was assumed that A is a possible attribute
 23      I, 15|             BC is converted and it is assumed that B is possible for all
 24      I, 15|        nothing necessary. But if B is assumed to be possible for all C (
 25      I, 15|               syllogism. But if it be assumed that B does not belong to
 26      I, 16|            all C or to some C. Now we assumed that A is not possible for
 27      I, 17|             to some B. But if this is assumed, no absurdity results: consequently
 28      I, 17|             ad absurdum: for if it is assumed that B can belong to all
 29      I, 21|             all B, and B (as has been assumed) belongs to all C, A will
 30      I, 21|             proved before. But it was assumed at the outset that A may
 31      I, 23|               question will have been assumed. But if A should be asserted
 32      I, 25|           propositions will have been assumed to no purpose, unless for
 33      I, 25|           conclusion proposed: for we assumed that the syllogism proved
 34      I, 25|          these propositions have been assumed to no purpose, and the syllogism
 35      I, 25|               unless a new premiss is assumed, as was said at the beginning,
 36      I, 25|             syllogistically or it has assumed more than was necessary
 37      I, 28|               but to no E: for it was assumed to be identical with H,
 38      I, 29|            some of the Es: but it was assumed that it belongs to none.
 39      I, 29|            none of the Gs: but it was assumed to belong to all. Similarly
 40      I, 29|               impossible-if now it is assumed that B belongs to no E and
 41      I, 29|               one of the premisses is assumed falsely.~These points will
 42      I, 29|            identical, but E should be assumed to belong to the Gs only,
 43      I, 31|             he assumes A of D (for he assumed man, as we saw, to be a
 44      I, 31|          incommensurate, he will have assumed what he ought to have proved.
 45      I, 32|         anything unnecessary has been assumed, or anything necessary has
 46      I, 32|       syllogism from the propositions assumed, but premisses are wanting.
 47      I, 32|        necessary results from what is assumed, since the syllogism also
 48      I, 32|              certain propositions are assumed, we must not try to reduce
 49      I, 33|         to-morrow: but unless this is assumed, no syllogism (as we have
 50      I, 34|          diseased. But unless this is assumed no conclusion results, save
 51      I, 35|             middle must not always be assumed to be an individual thing,
 52      I, 46|               two negations have been assumed in respect to one term.~ ~
 53     II, 1 |          belongs to no C, it has been assumed without proof that B does
 54     II, 2 |               what belongs to none is assumed to belong to all, or if
 55     II, 2 |             if what belongs to all is assumed to belong to none. Let A
 56     II, 2 |          while the true premiss BC is assumed, the wholly false premiss
 57     II, 2 |              false premiss AB is also assumed, viz. that A belongs to
 58     II, 2 |              the premiss AB, which is assumed, is wholly true, and the
 59     II, 2 |              to no man. If then it is assumed that A belongs to all B
 60     II, 2 |             of healing. If then it is assumed that A belongs to no B,
 61     II, 2 |             not to all. If then it is assumed that A belongs to all B,
 62     II, 2 |    speculative". If then it should be assumed that A belongs to no B,
 63     II, 2 |              as first term, and it is assumed that A belongs to the whole
 64     II, 2 |              as middle term and it is assumed that A belongs to no B but
 65     II, 2 |         something great. If then A is assumed to belong to all B, and
 66     II, 2 |          Consequently if it should be assumed that A belongs to all B,
 67     II, 2 |            taken as middle, and it is assumed that A belongs to no B,
 68     II, 2 |            black thing. If then it is assumed that A belongs to all B,
 69     II, 2 |          nothing white. If then it is assumed that A belongs to all B
 70     II, 2 |          black. Consequently if it is assumed that A belongs to no B,
 71     II, 3 |         stated contrariwise and it is assumed that A belongs to all B
 72     II, 3 |             is a horse. If then it is assumed that animal belongs to all
 73     II, 3 |               no raven. If then it is assumed that A belongs to no B,
 74     II, 3 |          pitch. Consequently if it is assumed that A belongs to the whole
 75     II, 3 |          nothing black. If then it is assumed that A belongs to all B
 76     II, 3 |          thing. Consequently if it is assumed that A belongs to the whole
 77     II, 3 |           follow some C. For if it is assumed that A belongs to no B and
 78     II, 3 |               every man. If then A is assumed to belong to the whole of
 79     II, 4 |          footed things. If then it is assumed that A and B belong to all
 80     II, 4 |          black. Consequently if it is assumed that B belongs to all C,
 81     II, 4 |      beautiful. Consequently if it is assumed that A belongs to no C,
 82     II, 4 |               if one of the premisses assumed is wholly false, the other
 83     II, 4 |            Also if both the premisses assumed are affirmative, the conclusion
 84     II, 4 |        animals. Consequently if it is assumed that A and B belong to every
 85     II, 4 |               the premiss AC which is assumed is true: the proof can be
 86     II, 4 |            some bipeds. If then it is assumed that both A and B belong
 87     II, 4 |         Similarly if of the premisses assumed AC is true and BC partly
 88     II, 4 |             to all B, therefore it is assumed that B belongs to the whole
 89     II, 4 |          should be true. For if it is assumed that A belongs to no C,
 90     II, 5 |       inferring the premiss which was assumed in the original syllogism:
 91     II, 5 |            syllogism the converse was assumed, viz. that B belongs to
 92     II, 5 |              B belongs to C, and A is assumed to belong to C, which was
 93     II, 5 |             to A but the converse was assumed in the earlier syllogism,
 94     II, 5 |           neither of the propositions assumed is the same as before: if
 95     II, 5 |            the first syllogism can be assumed in the second: for if both
 96     II, 5 |     demonstrating them. If then it is assumed that B belongs to all C,
 97     II, 5 |       relating B to A. Again if it is assumed that C belongs to all A,
 98     II, 5 |               the premiss CA has been assumed without being demonstrated:
 99     II, 5 |           reciprocally. If then it is assumed that C belongs to all B,
100     II, 5 |             all A, both the premisses assumed have been proved, and C
101     II, 5 |              Bs (which was previously assumed) A must belong to no C,
102     II, 5 |              through B. If then it is assumed that B belongs to all A
103     II, 6 |        belongs to no C. If then it is assumed that B belongs to all A,
104     II, 6 |             but if another premiss is assumed in addition, a syllogism
105     II, 6 |       conclusion is BC. If then it is assumed that B belongs to all A,
106     II, 6 |        universal syllogisms, if it is assumed that A belongs to some of
107     II, 7 |               When both the premisses assumed are affirmative, and the
108     II, 7 |           statement AB. If then it is assumed that C belongs to all A,
109     II, 7 |               of this. But if this is assumed the syllogism no longer
110     II, 7 |            proposition AC, when it is assumed that C belongs to all B,
111     II, 7 |              to some B. If then it is assumed further that C belongs to
112     II, 7 |              as before, viz. if it is assumed that that belongs to some
113     II, 7 |              to some B. If then it is assumed that C belongs to some of
114     II, 7 |           through the last. For it is assumed that that belongs to all
115     II, 8 |            term. If then it should be assumed that A belongs to no C,
116     II, 8 |              through B. Then if it is assumed that A belongs to all C,
117     II, 8 |              all C, as was originally assumed, A will belong to some B.~
118     II, 8 |              of some C. If then it is assumed that A belongs to no C,
119     II, 8 |         negative: for if it should be assumed that A belongs to all C,
120     II, 9 |          conclusion BC. If then it is assumed that B belongs to all C,
121     II, 9 |       conclusion is BC. If then it is assumed that B belongs to some C,
122     II, 9 |            belong to no C: but it was assumed to belong to some C. Again
123     II, 10|              universal. If then it is assumed that A does not belong to
124     II, 10|         contrary of the conclusion is assumed a syllogism will not be
125     II, 10|    contradictory of the conclusion is assumed, they are refuted. For if
126     II, 10|           belongs to no C: but it was assumed to belong to some C. If
127     II, 11|         stated and another premiss is assumed; it can be made in all the
128     II, 11|            results whichever term the assumed premiss concerns; but if
129     II, 11|                when the premiss BD is assumed as well we shall prove syllogistically
130     II, 11|              But if the premiss CA is assumed as well, no syllogism results,
131     II, 11|               B, and let it have been assumed that B belongs to all or
132     II, 11|              But if the other premiss assumed relates to A, no syllogism
133     II, 11|               B, and let it have been assumed that C belongs to all A.
134     II, 11|          negative. But if the premiss assumed concerns B, no syllogism
135     II, 11|               B, and let it have been assumed that C belongs to all A.
136     II, 11|        Similarly if the other premiss assumed concerns B. The same results
137     II, 12|               B, and let it have been assumed that A belongs to all C.
138     II, 13|               B, and let it have been assumed that C belongs to all B.
139     II, 13|        belongs to some C. But this we assumed not to be so, so it is false
140     II, 13|               all B. If however it is assumed that A belongs to some B,
141     II, 13|             the contradictory must be assumed. And it is plain that in
142     II, 14|         Similarly if B or A should be assumed to belong to some C.~Again
143     II, 15|              is supposition", one has assumed that a particular science
144     II, 15|           medicine is science, he has assumed that B belongs to all A
145     II, 15|              if the premiss BA is not assumed universally. For if some
146     II, 15|            opposite statements may be assumed as premisses in six ways;
147     II, 15| self-contradictory premiss is at once assumed, e.g. "every animal is white
148     II, 17|              something false has been assumed in the earlier parts of
149     II, 17|           here what one denies is not assumed as a premiss. Further when
150     II, 17|            for if we eliminated A and assumed all the same that B belongs
151     II, 26|               for the particular term assumed is middle, e.g. the knowable