Dialogue

 1 Intro|       from persons to ideas and numbers, and from ideas and numbers
 2 Intro|     numbers, and from ideas and numbers to persons,—from the heavens
 3 Intro|       in which double series of numbers are two kinds of means;
 4 Intro|        ratios of their motions, numbers, and other properties, are
 5 Intro|        He occasionally confused numbers with ideas, and atoms with
 6 Intro|      with ideas, and atoms with numbers; his a priori notions were
 7 Intro|      and the world without. The numbers and figures which were present
 8 Intro|    There was another reason why numbers had so great an influence
 9 Intro|    ancient philosophers made of numbers. First, they applied to
10 Intro|      the personification of the numbers and figures in which the
11 Intro|   divided answer to a series of numbers 1, 2, 3, 4, 9, 8, 27, composed
12 Intro|      solids compounded of prime numbers (i.e. of numbers not made
13 Intro|       of prime numbers (i.e. of numbers not made up of two factors,
14 Intro|         squares of any two such numbers (e.g. 2 squared, 3 squared =
15 Intro|       is to be limited to prime numbers; (2) that the limitation
16 Intro| distinction of prime from other numbers was known to him. What Plato
17 Intro| proportional between two square numbers are rather perhaps only
18 Intro|  proportionals between two cube numbers. The vagueness of his language
19 Intro|       Saturn 27. This series of numbers is the compound of the two
20 Intro|      that the world is a sum of numbers and figures has been the
21 Intro|       had framed a world out of numbers, which they constructed
22 Intro|       the virtues of particular numbers, especially of the number
23 Intro|      descants upon odd and even numbers, after the manner of the
24 Intro|      account of the relation of numbers to the universal ideas,
25 Timae|    greater, sometimes in lesser numbers. And whatever happened either
26 Timae|       For whenever in any three numbers, whether cube or square,
27 Timae|    distinguish and preserve the numbers of time; and when he had
28 Timae|         of what combinations of numbers each of them was formed.
29 Timae|         And the ratios of their numbers, motions, and other properties,