Dialogue

 1 Intro|            modern science.~Section 1.~Socrates begins the Timaeus
 2 Intro|           another in the ratios of 1, 2, 3, 4, 9, 8, 27, and
 3 Intro|      triple intervals thus—~— over 1, 4/3, 3/2, — over 2, 8/3,
 4 Intro|          16/3, 6, — over 8: — over 1, 3/2, 2, — over 3, 9/2,
 5 Intro|        parts of the extremes, e.g. 1, 4/3, 2; the other kind
 6 Intro|          different kinds of fire— (1) flame, (2) light that burns
 7 Intro|     triangles or in proportions of 1:2:4:8 and 1:3:9:27, or compounds
 8 Intro|         proportions of 1:2:4:8 and 1:3:9:27, or compounds of
 9 Intro|     meditated on the properties of 1:2:4:8, or 1:3:9:27, or of
10 Intro|          properties of 1:2:4:8, or 1:3:9:27, or of 3, 4, 5, they
11 Intro|          copy. We can only reply, (1) that to the mind of Plato
12 Intro|      answer to a series of numbers 1, 2, 3, 4, 9, 8, 27, composed
13 Intro|           Pythagorean progressions 1, 2, 4, 8 and 1, 3, 9, 27,
14 Intro|        progressions 1, 2, 4, 8 and 1, 3, 9, 27, of which the
15 Intro|            27, of which the number 1 represents a point, 2 and
16 Intro|           up, probably represents (1) the diatonic scale according
17 Intro|      Martin’s it may be objected, (1) that Plato nowhere says
18 Intro|           manner of the change is (1) a separation of portions
19 Intro|       attraction implies not only (1) the attraction of similar
20 Intro|          be summed up as follows: (1) Plato supposes the greater
21 Intro|       following progression:— Moon 1, Sun 2, Venus 3, Mercury
22 Intro|         sum of its factors, as 6 = 1 + 2 + 3. This, although
23 Intro| unfortunate doubt in this passage (1) about the meaning of the
24 Intro|        whole; we should remember, (1) that the nebular theory
25 Intro|           unacquainted with them. (1) To the first class belongs
26 Intro|         circulation of the blood.~(1) The law of gravitation,
27 Intro|            has a permanent value:—~1. Did Plato derive the legend
28 Timae|        away one part of the whole (1), and then he separated
29 Timae|            intervals (i.e. between 1, 2, 4, 8) and the triple (
30 Timae|           the triple (i.e. between 1, 3, 9, 27) cutting off yet
31 Timae|           extremes (as for example 1, 4/3, 2, in which the mean
32 Timae|           mean 4/3 is one-third of 1 more than 1, and one-third
33 Timae|           one-third of 1 more than 1, and one-third of 2 less
34 Timae|          equal number (e.g.~— over 1, 4/3, 3/2, — over 2, 8/3,
35 Timae|            6, — over 8: and — over 1, 3/2, 2, — over 3, 9/2,
36 Timae|            intervals (i.e. between 1, 2, 4, 8), and the three
37 Timae|            intervals (i.e. between 1, 3, 9, 27), together with