Charmides
    Part
  1 Text |              to do with odd and even numbers in their numerical relations
  2 Text |           said.~And the odd and even numbers are not the same with the
  3 Text |              the case of magnitudes, numbers, and the like?~Very true.~


Cratylus
    Part
  4 Intro|           there be names for all the numbers unless you allow that convention
  5 Intro|              to sound. The cases and numbers of nouns, the persons, tenses,
  6 Intro|          nouns, the persons, tenses, numbers of verbs, were generally
  7 Text |            you say may be true about numbers, which must be just what


Critias
    Part
  8 Intro|            minuteness with which the numbers are given, as in the Old
  9 Text |           all parts, who, from their numbers, kept up a multitudinous


Euthydemus
    Part
 10 Text |              know things such as the numbers of the stars and of the


The First Alcibiades
    Part
 11 Text |             makes cities agree about numbers?~ALCIBIADES: Arithmetic.~
 12 Text |            or triremes, or docks, or numbers, or size, Alcibiades, without


Gorgias
    Part
 13 Intro|        persuasion about odd and even numbers. Gorgias is made to see
 14 Intro|              dismisses the appeal to numbers; Polus, if he will, may
 15 Intro|             where truth depends upon numbers. But Socrates employs proof
 16 Text |             Words about odd and even numbers, and how many there are
 17 Text |           quantities of odd and even numbers, but also their numerical
 18 Text |              no better argument than numbers, let me have a turn, and


Laches
    Part
 19 Text |              on knowledge and not on numbers?~MELESIAS: To be sure.~SOCRATES:


Laws
    Book
 20 1    |            having the superiority in numbers may overcome and enslave
 21 3    |             came together in greater numbers, and increased the size
 22 4    |              ill omen, while the odd numbers, and the first choice, and
 23 5    |            to ten: this will furnish numbers for war and peace, and for
 24 5    |              many ways of regulating numbers; for they in whom generation
 25 5    |               or in seeing the other numbers which are consequent upon
 26 5    |          divisions and variations of numbers have a use in respect of
 27 6    |          which may be divided by all numbers from one to twelve with
 28 7    |             distinguish odd and even numbers, or is unable to count at
 29 7    |         adapt to their amusement the numbers in common use, and in this


Menexenus
    Part
 30 Text |    reputation of being invincible in numbers and wealth and skill and
 31 Text |              and so made the fear of numbers, whether of ships or men,


Meno
    Part
 32 Intro|            psychology, from ideas to numbers. But what we perceive to


Parmenides
    Part
 33 Intro|              with whom a doctrine of numbers quickly superseded Ideas.~
 34 Intro|             thrice two: we have even numbers multiplied into even, and
 35 Intro|              even, and even into odd numbers. But if one is, and both
 36 Intro|            is, and both odd and even numbers are implied in one, must
 37 Intro|            also measures or parts or numbers equal to or greater or less
 38 Intro|               being the least of all numbers, must be prior in time to
 39 Intro|             prior in time to greater numbers. But on the other hand,
 40 Intro|      sometimes with the precision of numbers or of geometrical figures.~


Phaedo
    Part
 41 Intro|           divided by the Pythagorean numbers,’ against the Heracleitean
 42 Text |           what I mean to ask—whether numbers such as the number three
 43 Text |            other series of alternate numbers, has every number even,
 44 Text |          oddness is the cause of odd numbers, you will say that the monad


Phaedrus
    Part
 45 Text |        awakens lyrical and all other numbers; with these adorning the


Philebus
    Part
 46 Intro|            in part. He says that the numbers which the philosopher employs
 47 Intro|         always the same, whereas the numbers which are used in practice
 48 Intro| characteristic and not the defect of numbers, and is due to their abstract
 49 Text |               which when measured by numbers ought, as they say, to be


The Republic
    Book
 50 1    |             if you ask a person what numbers make up twelve, taking care
 51 1    |            you mean? If one of these numbers which you interdict be the
 52 2    |          needed, and in considerable numbers? ~Yes, in considerable numbers. ~
 53 2    |       numbers? ~Yes, in considerable numbers. ~Then, again, within the
 54 4    |              in wisdom, or power, or numbers, or wealth, or anything
 55 7    |         until they see the nature of numbers with the mind only; nor
 56 7    |             what are these wonderful numbers about which you are reasoning,
 57 7    |          they were speaking of those numbers which can only be realized
 58 7    |    astronomers; they investigate the numbers of the harmonies which are
 59 7    |          number, or reflect why some numbers are harmonious and others
 60 8    |            unlike, waxing and waning numbers, make all the terms commensurable
 61 8    |            oblong, consisting of 100 numbers squared upon rational diameters


The Seventh Letter
    Part
 62 Text |          thousand householders their numbers should be fifty; that is
 63 Text |             and, assembling in great numbers, declared that they would


The Sophist
    Part
 64 Intro|            less in relation to other numbers without any increase or
 65 Intro|        opposition. They are not like numbers and figures, always and


The Statesman
    Part
 66 Intro|           ten thousand and all other numbers, instead of into odd and
 67 Text |          discerns the differences of numbers shall we assign any other
 68 Text |             suppose that in dividing numbers you were to cut off ten
 69 Text |            logical classification of numbers, if you divided them into


The Symposium
    Part
 70 Text |            strength and increased in numbers; this will have the advantage


Theaetetus
    Part
 71 Intro|      conception of square and oblong numbers, but he is unable to attain
 72 Intro|             discovered a division of numbers into square numbers, 4,
 73 Intro|      division of numbers into square numbers, 4, 9, 16, etc., which are
 74 Intro|              equal sides, and oblong numbers, 3, 5, 6, 7, etc., which
 75 Intro|              mind and sense? e.g. in numbers. No one can confuse the
 76 Intro|         errors in arithmetic. For in numbers and calculation there is
 77 Intro|              power of discriminating numbers, forms, colours, is not
 78 Intro|            us at the time, but, like numbers or algebraical symbols,
 79 Text |           THEAETETUS: We divided all numbers into two classes: those
 80 Text |         called square or equilateral numbers;—that was one class.~SOCRATES:
 81 Text |         THEAETETUS: The intermediate numbers, such as three and five,
 82 Text |               and called them oblong numbers.~SOCRATES: Capital; and
 83 Text |        squares the equilateral plane numbers, were called by us lengths
 84 Text |             are equal to) the oblong numbers, were called powers or roots;
 85 Text |              also of unity and other numbers which are applied to objects
 86 Text |          soul perceives odd and even numbers and other arithmetical conceptions.~
 87 Text |           ask himself how many these numbers make when added together,
 88 Text |            eleven, and in the higher numbers the chance of error is greater
 89 Text |         assume you to be speaking of numbers in general.~SOCRATES: Exactly;
 90 Text |       perfect arithmetician know all numbers, for he has the science
 91 Text |            he has the science of all numbers in his mind?~THEAETETUS:
 92 Text |           And he can reckon abstract numbers in his head, or things about
 93 Text |           admitted that he knows all numbers;—you have heard these perplexing
 94 Text |            knows all letters and all numbers?~THEAETETUS: That, again,
 95 Text |              other;—when the various numbers and forms of knowledge are
 96 Text |             the same or of different numbers?~THEAETETUS: Of the same.~


Timaeus
    Part
 97 Intro|            from persons to ideas and numbers, and from ideas and numbers
 98 Intro|          numbers, and from ideas and numbers to persons,—from the heavens
 99 Intro|            in which double series of numbers are two kinds of means;
100 Intro|             ratios of their motions, numbers, and other properties, are
101 Intro|             He occasionally confused numbers with ideas, and atoms with
102 Intro|           with ideas, and atoms with numbers; his a priori notions were
103 Intro|           and the world without. The numbers and figures which were present
104 Intro|         There was another reason why numbers had so great an influence
105 Intro|         ancient philosophers made of numbers. First, they applied to
106 Intro|           the personification of the numbers and figures in which the
107 Intro|        divided answer to a series of numbers 1, 2, 3, 4, 9, 8, 27, composed
108 Intro|           solids compounded of prime numbers (i.e. of numbers not made
109 Intro|            of prime numbers (i.e. of numbers not made up of two factors,
110 Intro|              squares of any two such numbers (e.g. 2 squared, 3 squared =
111 Intro|            is to be limited to prime numbers; (2) that the limitation
112 Intro|      distinction of prime from other numbers was known to him. What Plato
113 Intro|      proportional between two square numbers are rather perhaps only
114 Intro|       proportionals between two cube numbers. The vagueness of his language
115 Intro|            Saturn 27. This series of numbers is the compound of the two
116 Intro|           that the world is a sum of numbers and figures has been the
117 Intro|            had framed a world out of numbers, which they constructed
118 Intro|            the virtues of particular numbers, especially of the number
119 Intro|           descants upon odd and even numbers, after the manner of the
120 Intro|           account of the relation of numbers to the universal ideas,
121 Text |         greater, sometimes in lesser numbers. And whatever happened either
122 Text |            For whenever in any three numbers, whether cube or square,
123 Text |         distinguish and preserve the numbers of time; and when he had
124 Text |              of what combinations of numbers each of them was formed.
125 Text |              And the ratios of their numbers, motions, and other properties,