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1001      I,  7 |           cubes is a cube. Nor can the theorem of any one science be demonstrated
1002     II,  2 |               unqualified being of the thing-and are proceeding to ask the
1003      I,  3 |               that the positing of one thing-be it one term or one premiss-never
1004     II,  6 |              consists the being of the thing-obtaining our conclusion? Or is the
1005      I,  21|           figure, now in the second or third-even so the regress will terminate,
1006      I,  14|                condition of knowledge. Thirdly, the first is the only figure
1007      I,  24|          conditioned by something like this-some separate entity belonging
1008     II,  11|                Pythagoreans say, for a threat to terrify those that lie
1009      I,  4 |               if a beast dies when its throat is being cut, then its death
1010            | throughout
1011     II,  10|      difference between stating why it thunders, and stating what is the
1012     II,  6 |             peculiar to the thing; and thus-since in this synthesis consists
1013      I,  4 |         exclusion of others-and at all times, not at this or that time
1014      I,  5 |               each of them separately. To-day, however, the proof is commensurately
1015     II,  13|                method to be adopted in tracing the elements predicated
1016      I,  31|             this event we might, after tracking the commensurate universal,
1017     II,  14|           taking our examples from the traditional class-names, but we must
1018      I,  33|            opines will follow the same train of thought through the same
1019      I,  32|               which have position. The transferred terms could only fit in
1020     II,  11|                The definitions must be transposed, and then the detail will
1021      I,  3 |              are right, for one cannot traverse an infinite series): if
1022      I,  18|                properties which can be treated as separate even though
1023     II,  12|                receive a more explicit treatment in our general theory of
1024      I,  5 |          proofs; still, as long as one treats separately equilateral,
1025     II,  16|                in any subject but in a tree-then that tree must be deciduous.~
1026     II,  16|           example, that the reason why trees are deciduous is the coagulation
1027     II,  13|                also in a subject not a triad-as being inheres in triad but
1028     II,  13|                be of wider extent than triad-assuming that wider potential extent
1029     II,  13|              other than the individual triads, it will be identical with
1030      I,  24|                identical definition of triangle-i.e. the term is not equivocal-and
1031      I,  17|             the contradictory-i.e. the true-conclusion is inferrible. Thus, let
1032     II,  19|               intuition nothing can be truer than scientific knowledge,
1033      I,  6 |               of it is not a necessary truth-whether we think it altogether devoid
1034      I,  13|               this form, the syllogism turns out to be proof of the fact,
1035      I,  13|              attribute of C, and A-not twinkling-of B. Consequently A is predicable
1036      I,  22|                log" will thus serve as types respectively of predicate
1037     II,  5 |           without further question be (ultimately) incapable of fresh specific
1038      I,  9 |         derives from causes themselves uncaused: hence, if he knows better
1039      I,  2 |           knowledge being not our mere understanding of the meaning, but knowledge
1040      I,  24|      supposition in the other cases of unequivocal universal predication, viz.
1041      I,  24|              commensurate universal is unequivocal-then the universal will possess
1042      I,  11|                a single identical term unequivocally predicable of a number of
1043     II,  19|               we grasp truth, some are unfailingly true, others admit of error-opinion,
1044      I,  24|             indeterminate manifold are unintelligible, so far as they are determinate,
1045     II,  5 |              by division the requisite uninterrupted sequence of terms, and omit
1046      I,  23|          immediate propositions as are universal-are the "elements". If, on the
1047     II,  19|             particular, its content is universal-is man, for example, not the
1048      I,  31|            would not be commensurately universal-the term we apply to what is
1049     II,  11|              since men make war on the unjust aggressor. So A, having
1050      I,  3 |               premisses, yet these are unknowable because incapable of demonstration,
1051      I,  24|              to that which moves among unrealities and is delusory. Now commensurately
1052      I,  12|            that "ungeometrical", like "unrhythmical", is equivocal, meaning
1053      I,  2 |                of pure science must be unshakable.~
1054      I,  12|               for in such a company an unsound argument will pass unnoticed.
1055      I,  33|         observed facts, for opinion is unstable, and so is the kind of being
1056      I,  3 |           identified. Consequently the upholders of circular demonstration
1057     II,  11|        necessity a stone is borne both upwards and downwards, but not by
1058      I,  10|              false, as some have held, urging that one must not employ
1059      I,  16|          inference-which here concerns us-takes many forms. Thus, let A
1060     II,  13|        according to differentiae are a useful accessory to this method.
1061            | using
1062      I,  10|               and that the geometer is uttering falsehood in stating that
1063      I,  16|           condition if one is to get a valid inference at all. Therefore
1064      I,  12|             that anything which can be validly advanced as an "objection"
1065      I,  5 |               limit, and the attribute vanishes. " True, but figure and
1066      I,  32|           truths are necessary, others variable.~Looking at it in this way
1067      I,  17|            have made it clear how many varieties of erroneous inference are
1068      I,  23|              this procedure will never vary.~(2) If we have to show
1069      I,  29|          conclusion can be obtained by varying the figure,~
1070      I,  14|             the first. Thus, it is the vehicle of the demonstrations of
1071      I,  10|   incommensurable, or of deflection or verging of lines, whereas the existence
1072     II,  13|               have equanimity amid the vicissitudes of life and impatience of
1073      I,  13|            namely because they have no vines.~Thus, then, do the syllogism
1074      I,  1 |          universal and therein already virtually known. For example, the
1075     II,  8 |              she is full and though no visible body intervenes between
1076      I,  12|                of error is it that may vitiate questions, and yet not exclude
1077     II,  11|            aggressor. So A, having war waged upon them, is true of B,
1078     II,  11|              What cause originated the waging of war against the Athenians?"
1079     II,  15|             close? Because the moon is waning. Here the one cause is subordinate
1080      I,  31|                of course, deny that by watching the frequent recurrence
1081     II,  2 |           eclipse?", or "does the moon wax?", the question concerns
1082      I,  34|             conversation with a man of wealth and divined that he was
1083      I,  23|        identical in all-in a system of weight it is the mina, in music
1084      I,  2 |           another manner of knowing as well-that will be discussed later.
1085            | whenever
1086            | wherein
1087      I,  20|              into the argument at all: whichever terms of the series B...
1088     II,  13|             all animal which is either whole-winged or split-winged but all
1089      I,  22|          number, and the number of the widest kinds under which predications
1090     II,  5 |                 mortal, footed, biped, wingless"; and when at each step
1091      I,  33|                science, art, practical wisdom, and metaphysical thinking,
1092     II,  14|            formulate the connexions we wish to prove we have to select
1093      I,  34|                               34~Quick wit is a faculty of hitting
1094      I,  11|             goes, the middle term goes witb. it, and so demonstration
1095     II,  13|              peculiar" to the species, working through the proximate common
1096      I,  29|               subject.~A further point worth investigating is how many
1097      I,  13|         business to know that circular wounds heal more slowly, the geometer’
1098     II,  13|            Alcibiades to war, Achilles wrath, and Ajax to suicide. We
1099      I,  3 |                as has been shown in my writings on the syllogism, to prove
1100            | your