Book, Paragraph

  1      I, 3 |    horse, or that no garment is white. For in the former case
  2      I, 3 | admissible for no garment to be white, it is also admissible for
  3      I, 3 |     also admissible for nothing white to be a garment. For if
  4      I, 3 |        be a garment. For if any white thing must be a garment,
  5      I, 3 |     garment will necessarily be white. This has been already proved.
  6      I, 4 |       syllogism. Take the terms white, horse, swan: white, horse,
  7      I, 4 |       terms white, horse, swan: white, horse, raven. The same
  8      I, 4 |      the terms are animal, man, white: next take some of the white
  9      I, 4 |    white: next take some of the white things of which man is not
 10      I, 4 |       the terms inanimate, man, white: then take some white things
 11      I, 4 |      man, white: then take some white things of which man is not
 12      I, 4 |       all the above are animal, white, horse: animal, white, stone.~
 13      I, 4 |   animal, white, horse: animal, white, stone.~It is clear then
 14      I, 5 |       substance, raven; animal, white, raven. Nor will there be
 15      I, 5 |       the negative relation are white, swan, stone. But it is
 16      I, 5 |       the positive relation are white, animal, raven: for the
 17      I, 5 |      for the negative relation, white, stone, raven. If the premisses
 18      I, 5 |       the negative relation are white, animal, snow; for the positive
 19      I, 5 |      for the positive relation, white, animal, swan. Evidently
 20      I, 5 |     terms for all the above are white, animal, man: white, animal,
 21      I, 5 |         are white, animal, man: white, animal, inanimate. It is
 22      I, 6 |  negative relation raven, snow, white. For a positive relation
 23      I, 6 |        for all are animal, man, white: animal, inanimate, white.~
 24      I, 6 |       white: animal, inanimate, white.~It is clear then in this
 25      I, 9 |         terms movement, animal, white.~
 26      I, 10|       let A be animal, B man, C white, and let the premisses be
 27      I, 10|        should belong to nothing white. Man then will not belong
 28      I, 10|     will not belong to anything white, but not necessarily: for
 29      I, 10|     possible for man to be born white, not however so long as
 30      I, 10|       animal belongs to nothing white. Consequently under these
 31      I, 11|     terms "waking"- "animal" - "white": for it is necessary that
 32      I, 11|    animal should belong to some white thing, but it is possible
 33      I, 14|       consideration "animal" - "white" - "man", where the major
 34      I, 14|        to the minor; "animal"- "white" - "garment", where it is
 35      I, 16|      relation of animal to some white, and of white to some inanimate,
 36      I, 16|    animal to some white, and of white to some inanimate, is both
 37      I, 17|  possible that no man should be white (for it is also possible
 38      I, 17|        that every man should be white), but it is not true to
 39      I, 17|     that it is possible that no white thing should be a man: for
 40      I, 17|       should be a man: for many white things are necessarily not
 41      I, 17|         but necessary. Let A be white, B man, C horse. It is possible
 42      I, 19|       not belong to C. Let A be white, B man, C swan. White then
 43      I, 19|        be white, B man, C swan. White then necessarily belongs
 44      I, 19|          e.g. suppose that A is white, B swan, C man. Nor can
 45      I, 20|       the terms horse-man-white—white being the middle term.~
 46      I, 27|         sometimes say that that white object is Socrates, or that
 47      I, 41|        for beautiful, and C for white. If beauty belongs to something
 48      I, 41|     beauty belongs to something white, it is true to say that
 49      I, 41|        belongs to that which is white; but not perhaps to everything
 50      I, 41|   perhaps to everything that is white. If then A belongs to B,
 51      I, 46|        meaning, e.g. "not to be white" and "to be not-white".
 52      I, 46|          the negation of "to be white", but "not to be white".
 53      I, 46|       be white", but "not to be white". The reason for this is
 54      I, 46|       to the relation of "it is white" to "it is not-white"; so
 55      I, 46| not-white log" and "it is not a white log" do not imply one another’
 56      I, 46|         but that which is not a white log need not be a log at
 57      I, 46|     true also to say "it is not white": for it is impossible that
 58      I, 46|        should simultaneously be white and be not-white, or be
 59      I, 46|        a not-white log and be a white log; consequently if the
 60      I, 46|    simultaneously not-white and white, D must belong to everything
 61      I, 46|   belongs. For of that which is white it is true to say that it
 62      I, 46|        say A, viz. that it is a white log. Consequently D is true,
 63      I, 46|         true, i.e. that it is a white log. It is clear also that
 64      I, 46|      way, viz. that all are not white or that each is not white,
 65      I, 46|       white or that each is not white, while that each is not-white
 66      I, 46|    negation of "every animal is white" (for both are false): the
 67      I, 46|         is "every animal is not white". Since it is clear that "
 68      I, 46|       not-white" and "it is not white" mean different things,
 69      I, 46|    whatever is an animal is not white or may not be white, and
 70      I, 46|         not white or may not be white, and that it is true to
 71      I, 46|      that it is true to call it white or not-white in the same
 72      I, 46|       of "it is true to call it white" is not "it is true to call
 73      I, 46|       it is not true to call it white". If then it is to be true
 74     II, 2 |       to every swan and to some white thing, and white to every
 75     II, 2 |        to some white thing, and white to every swan, then if we
 76     II, 2 |      all C, e.g. animal to some white thing, but to no snow, and
 77     II, 2 |      thing, but to no snow, and white to all snow. If then one
 78     II, 2 |         to no snow, but to some white thing, and snow to some
 79     II, 2 |         thing, and snow to some white thing. If then snow is taken
 80     II, 2 |        but does not follow some white, but man belongs to some
 81     II, 2 |         but man belongs to some white; consequently if man be
 82     II, 2 |       no number and not to some white things, and number belongs
 83     II, 2 |       number belongs to nothing white. If then number is taken
 84     II, 2 |      for animal belongs to some white things and to some black
 85     II, 2 |       to some black things, but white belongs to no black thing.
 86     II, 2 |       to no number, but to some white things, and number to nothing
 87     II, 2 |   things, and number to nothing white. If then it is assumed that
 88     II, 3 |       no C, e.g. animal to some white things and to every raven,
 89     II, 3 |      and to every raven, though white belongs to no raven. If
 90     II, 3 |     e.g. animal belongs to some white things, but to no pitch,
 91     II, 3 |    things, but to no pitch, and white belongs to no pitch. Consequently
 92     II, 3 |       no C, e.g. animal to some white things and to some black
 93     II, 3 |       some black things, though white belongs to nothing black.
 94     II, 3 |        to every man and to some white things, though man will
 95     II, 3 |         will not belong to some white things. If then it is stated
 96     II, 3 |         does not belong to some white things, and lifeless will
 97     II, 3 |         will not belong to some white things. If then it is stated
 98     II, 4 |         belongs to some B, e.g. white and beautiful belong to
 99     II, 4 |     belong to some animals, and white to some beautiful things.
100     II, 4 |       not belong to all B, e.g. white does not belong to some
101     II, 4 |    belongs to some animals, and white does not belong to everything
102     II, 4 |         some B, e.g. animal and white follow every swan, though
103     II, 4 |        not belong to everything white. Taking these then as terms,
104     II, 4 | necessarily be great since A is white and that B should necessarily
105     II, 4 |         be great since A is not white. For whenever since this,
106     II, 4 |      whenever since this, A, is white it is necessary that that,
107     II, 4 |      great that C should not be white, then it is necessary if
108     II, 4 |      then it is necessary if is white that C should not be white.
109     II, 4 |      white that C should not be white. And whenever it is necessary,
110     II, 4 |        is not great A cannot be white. But if, when A is not white,
111     II, 4 |    white. But if, when A is not white, it is necessary that B
112     II, 4 |         will necessarily not be white. If then when this is not
113     II, 4 |        If then when this is not white B must be great, it results
114     II, 15|  assumed, e.g. "every animal is white and not white", and we proceed "
115     II, 15|         animal is white and not white", and we proceed "man is