Scaife ATLAS

CTS Library / Why the Oracles Cease to Give Answers

Why the Oracles Cease to Give Answers (31-32)

urn:cts:greekLit:tlg0007.tlg092.perseus-eng4:31-32
Refs {'start': {'reference': '31', 'human_reference': 'Section 31'}, 'end': {'reference': '32', 'human_reference': 'Section 32'}}
Ancestors []
Children []
prev
plain textXML
next

Having said this, I paused. And Philippus immediately cried out: Whether this be certain or not, I will not be too positive; but if we carry God beyond one world, it would more gratify me to know why we should make him the Creator only of five worlds and no more, and what proportion this number bears to that of the worlds, than to know why the word E I was inscribed upon this temple. For this is neither a triangular, a quadrate, a perfect, nor a cubic number, neither does it yield any elegancy to such as are delighted in this kind of sciences. As to what concerns the argument dawn from the number of elements, which Plato seems to have touched upon, it is obscure and improbable, and will not afford this consequence,—that, as there are formed from matter five sorts of regular bodies, which have equal angles and equal sides, and are environed with equal superficies, so there were from the beginning five worlds, made and formed of these five bodies.

Yet Theodorus the Solian, said I, when he reads Platos mathematics to his scholars, both keeps to the text and clearly expounds it, when he saith, the pyramid, octahedron, dodecahedron. icosahedron (which Plato lays down as the first bodies) are all beautiful both in their proportions and equalities; Nature cannot contrive and make better than these, nor perhaps so good. Yet they have not all the same constitution and origin; for the least

v.4.p.39
and slightest of the five is the pyramid; the greatest, which has most parts, is the dodecahedron; and of the other two, the icosahedron is greater than the octahedron by more than twofold, if you compare their number of triangles. And therefore it is impossible they should be all made at once, of one and the same matter; for the smallest and most subtile have been certainly more pliable to the hand of the workman who moved and fashioned the matter, and consequently were sooner made and shaped, than those which have stronger parts and a greater mass of bodies, and whose composition was more laborious and difficult, like the dodecahedron. Whence it follows that the pyramid was the first body, and not one of the others, which were by nature last produced. Now the way also to avoid this absurdity is to separate and divide matter into five worlds; here the pyramid (for she is the first and most simple), there the octahedron, and there the icosahedron; and out of that which exists first in every one of these the rest draw their original by the concretion of parts, by which every thing is changed into every thing, as Plato himself shows us by examples throughout. But it will suffice us briefly to learn thus much. Air is engendered by the extinction of fire, and the same being subtilized and rarefied produceth fire. Now by the seeds of these two we may find out the passions and transmutations of all. The seminary or beginning of fire is the pyramid, consisting of twenty-four first triangles; and the octahedron is the seminary of the air, consisting of forty-eight triangles of the same kind. So that the one element of air stands upon two of fire, joined together and condensed. And again, one body or element of air is divided into two of fire, which again, becoming thick and hard, is changed into water; so that, throughout, that which comes first into light gives easily birth unto the rest by transmutation. And so it comes to pass, that there is not merely one first principle
of all things; but one thing is so mixed with the origin of another, in the several changes and alterations of nature by motion, that the same name and denomination belong equally to all.

Tokens

Having 1 w 6
said 1 w 10
this 1 w 14
I 1 w 16
paused 1 w 22
And 1 w 26
Philippus 1 w 35
immediately 1 w 46
cried 1 w 51
out 1 w 54
Whether 1 w 62
this 2 w 66
be 1 w 68
certain 1 w 75
or 1 w 77
not 1 w 80
I 2 w 82
will 1 w 86
not 2 w 89
be 2 w 91
too 1 w 94
positive 1 w 102
but 1 w 106
if 1 w 108
we 1 w 110
carry 1 w 115
God 1 w 118
beyond 1 w 124
one 1 w 127
world 1 w 132
it 2 w 135
would 1 w 140
more 1 w 144
gratify 1 w 151
me 2 w 153
to 2 w 155
know 1 w 159
why 1 w 162
we 2 w 164
should 1 w 170
make 1 w 174
him 1 w 177
the 2 w 180
Creator 1 w 187
only 1 w 191
of 1 w 193
five 1 w 197
worlds 1 w 203
and 1 w 206
no 4 w 208
more 2 w 212
and 2 w 216
what 1 w 220
proportion 1 w 230
this 3 w 234
number 1 w 240
bears 1 w 245
to 4 w 247
that 1 w 251
of 2 w 253
the 3 w 256
worlds 2 w 262
than 1 w 267
to 5 w 269
know 2 w 273
why 2 w 276
the 4 w 279
word 1 w 283
E 1 w 284
I 3 w 285
was 1 w 288
inscribed 1 w 297
upon 1 w 301
this 4 w 305
temple 1 w 311
For 1 w 315
this 5 w 319
is 6 w 321
neither 1 w 328
a 17 w 329
triangular 1 w 339
a 20 w 341
quadrate 1 w 349
a 23 w 351
perfect 1 w 358
nor 1 w 362
a 24 w 363
cubic 1 w 368
number 2 w 374
neither 2 w 382
does 1 w 386
it 5 w 388
yield 1 w 393
any 1 w 396
elegancy 1 w 404
to 6 w 406
such 1 w 410
as 2 w 412
are 1 w 415
delighted 1 w 424
in 4 w 426
this 6 w 430
kind 1 w 434
of 3 w 436
sciences 1 w 444
As 1 w 447
to 7 w 449
what 2 w 453
concerns 1 w 461
the 7 w 464
argument 1 w 472
dawn 1 w 476
from 1 w 480
the 8 w 483
number 3 w 489
of 4 w 491
elements 1 w 499
which 1 w 505
Plato 1 w 510
seems 1 w 515
to 9 w 517
have 1 w 521
touched 1 w 528
upon 2 w 532
it 6 w 535
is 8 w 537
obscure 1 w 544
and 3 w 547
improbable 1 w 557
and 4 w 561
will 2 w 565
not 3 w 568
afford 1 w 574
this 7 w 578
consequence 1 w 589
that 2 w 595
as 3 w 598
there 1 w 603
are 2 w 606
formed 1 w 612
from 2 w 616
matter 1 w 622
five 2 w 626
sorts 1 w 631
of 5 w 633
regular 1 w 640
bodies 1 w 646
which 2 w 652
have 2 w 656
equal 1 w 661
angles 1 w 667
and 5 w 670
equal 2 w 675
sides 1 w 680
and 6 w 684
are 3 w 687
environed 1 w 696
with 1 w 700
equal 3 w 705
superficies 1 w 716
so 2 w 719
there 2 w 724
were 1 w 728
from 3 w 732
the 11 w 735
beginning 1 w 744
five 3 w 748
worlds 3 w 754
made 1 w 759
and 7 w 762
formed 2 w 768
of 6 w 770
these 1 w 775
five 4 w 779
bodies 2 w 785
Yet 1 w 789
Theodorus 1 w 798
the 13 w 801
Solian 1 w 807
said 2 w 812
I 4 w 813
when 1 w 818
he 18 w 820
reads 1 w 825
Plato 2 w 830
s 48 w 832
mathematics 1 w 843
to 12 w 845
his 8 w 848
scholars 1 w 856
both 1 w 861
keeps 1 w 866
to 13 w 868
the 15 w 871
text 1 w 875
and 8 w 878
clearly 1 w 885
expounds 1 w 893
it 8 w 895
when 2 w 900
he 22 w 902
saith 1 w 907
the 16 w 911
pyramid 1 w 918
octahedron 1 w 929
dodecahedron 1 w 942
icosahedron 1 w 954
which 3 w 960
Plato 3 w 965
lays 1 w 969
down 1 w 973
as 4 w 975
the 17 w 978
first 1 w 983
bodies 3 w 989
are 4 w 993
all 1 w 996
beautiful 1 w 1005
both 2 w 1009
in 8 w 1011
their 1 w 1016
proportions 1 w 1027
and 9 w 1030
equalities 1 w 1040
Nature 1 w 1047
cannot 1 w 1053
contrive 1 w 1061
and 10 w 1064
make 2 w 1068
better 1 w 1074
than 2 w 1078
these 2 w 1083
nor 2 w 1087
perhaps 1 w 1094
so 3 w 1096
good 1 w 1100
Yet 2 w 1104
they 1 w 1108
have 3 w 1112
not 5 w 1115
all 2 w 1118
the 21 w 1121
same 1 w 1125
constitution 1 w 1137
and 11 w 1140
origin 1 w 1146
for 4 w 1150
the 22 w 1153
least 1 w 1158
and 12 w 1161
slightest 1 w 1170
of 7 w 1172
the 23 w 1175
five 5 w 1179
is 11 w 1181
the 24 w 1184
pyramid 2 w 1191
the 25 w 1195
greatest 1 w 1203
which 4 w 1209
has 1 w 1212
most 1 w 1216
parts 1 w 1221
is 12 w 1224
the 26 w 1227
dodecahedron 2 w 1239
and 13 w 1243
of 8 w 1245
the 27 w 1248
other 1 w 1253
two 1 w 1256
the 29 w 1260
icosahedron 2 w 1271
is 13 w 1273
greater 1 w 1280
than 3 w 1284
the 30 w 1287
octahedron 2 w 1297
by 1 w 1299
more 3 w 1303
than 4 w 1307
twofold 1 w 1314
if 4 w 1317
you 1 w 1320
compare 1 w 1327
their 2 w 1332
number 4 w 1338
of 10 w 1340
triangles 1 w 1349
And 2 w 1353
therefore 1 w 1362
it 12 w 1364
is 14 w 1366
impossible 1 w 1376
they 2 w 1380
should 2 w 1386
be 13 w 1388
all 3 w 1391
made 2 w 1395
at 18 w 1397
once 2 w 1401
of 11 w 1404
one 3 w 1407
and 14 w 1410
the 34 w 1413
same 2 w 1417
matter 2 w 1423
for 6 w 1427
the 35 w 1430
smallest 1 w 1438
and 15 w 1441
most 2 w 1445
subtile 1 w 1452
have 4 w 1456
been 1 w 1460
certainly 1 w 1469
more 4 w 1473
pliable 1 w 1480
to 15 w 1482
the 36 w 1485
hand 1 w 1489
of 12 w 1491
the 37 w 1494
workman 1 w 1501
who 1 w 1504
moved 1 w 1509
and 17 w 1512
fashioned 1 w 1521
the 38 w 1524
matter 3 w 1530
and 18 w 1534
consequently 1 w 1546
were 2 w 1550
sooner 1 w 1556
made 3 w 1560
and 19 w 1563
shaped 1 w 1569
than 5 w 1574
those 1 w 1579
which 5 w 1584
have 5 w 1588
stronger 1 w 1596
parts 2 w 1601
and 20 w 1604
a 124 w 1605
greater 2 w 1612
mass 1 w 1616
of 13 w 1618
bodies 4 w 1624
and 21 w 1628
whose 1 w 1633
composition 1 w 1644
was 2 w 1647
more 5 w 1651
laborious 1 w 1660
and 22 w 1663
difficult 1 w 1672
like 1 w 1677
the 39 w 1680
dodecahedron 3 w 1692
Whence 1 w 1699
it 14 w 1701
follows 1 w 1708
that 3 w 1712
the 40 w 1715
pyramid 3 w 1722
was 3 w 1725
the 41 w 1728
first 2 w 1733
body 1 w 1737
and 23 w 1741
not 6 w 1744
one 6 w 1747
of 14 w 1749
the 42 w 1752
others 1 w 1758
which 6 w 1764
were 3 w 1768
by 2 w 1770
nature 1 w 1776
last 1 w 1780
produced 1 w 1788
Now 1 w 1792
the 44 w 1795
way 1 w 1798
also 1 w 1802
to 16 w 1804
avoid 1 w 1809
this 8 w 1813
absurdity 1 w 1822
is 16 w 1824
to 17 w 1826
separate 1 w 1834
and 24 w 1837
divide 1 w 1843
matter 4 w 1849
into 1 w 1853
five 6 w 1857
worlds 4 w 1863
here 4 w 1868
the 45 w 1871
pyramid 4 w 1878
for 7 w 1882
she 1 w 1885
is 17 w 1887
the 46 w 1890
first 3 w 1895
and 25 w 1898
most 3 w 1902
simple 1 w 1908
there 4 w 1915
the 48 w 1918
octahedron 3 w 1928
and 26 w 1932
there 5 w 1937
the 50 w 1940
icosahedron 3 w 1951
and 27 w 1955
out 2 w 1958
of 15 w 1960
that 4 w 1964
which 7 w 1969
exists 1 w 1975
first 4 w 1980
in 12 w 1982
every 1 w 1987
one 7 w 1990
of 16 w 1992
these 3 w 1997
the 52 w 2000
rest 1 w 2004
draw 1 w 2008
their 3 w 2013
original 1 w 2021
by 3 w 2023
the 54 w 2026
concretion 1 w 2036
of 17 w 2038
parts 3 w 2043
by 4 w 2046
which 8 w 2051
every 2 w 2056
thing 1 w 2061
is 19 w 2063
changed 1 w 2070
into 2 w 2074
every 3 w 2079
thing 2 w 2084
as 12 w 2087
Plato 4 w 2092
himself 1 w 2099
shows 1 w 2104
us 5 w 2106
by 5 w 2108
examples 1 w 2116
throughout 1 w 2126
But 1 w 2130
it 16 w 2132
will 3 w 2136
suffice 1 w 2143
us 6 w 2145
briefly 1 w 2152
to 21 w 2154
learn 1 w 2159
thus 1 w 2163
much 1 w 2167
Air 1 w 2171
is 20 w 2173
engendered 1 w 2183
by 6 w 2185
the 55 w 2188
extinction 1 w 2198
of 18 w 2200
fire 1 w 2204
and 28 w 2208
the 56 w 2211
same 3 w 2215
being 1 w 2220
subtilized 1 w 2230
and 29 w 2233
rarefied 1 w 2241
produceth 1 w 2250
fire 2 w 2254
Now 2 w 2258
by 7 w 2260
the 57 w 2263
seeds 1 w 2268
of 19 w 2270
these 4 w 2275
two 3 w 2278
we 6 w 2280
may 1 w 2283
find 1 w 2287
out 4 w 2290
the 59 w 2293
passions 1 w 2301
and 30 w 2304
transmutations 1 w 2318
of 20 w 2320
all 5 w 2323
The 2 w 2327
seminary 1 w 2335
or 32 w 2337
beginning 2 w 2346
of 21 w 2348
fire 3 w 2352
is 21 w 2354
the 60 w 2357
pyramid 5 w 2364
consisting 1 w 2375
of 22 w 2377
twenty-four 1 w 2388
first 5 w 2393
triangles 2 w 2402
and 31 w 2406
the 61 w 2409
octahedron 4 w 2419
is 23 w 2421
the 62 w 2424
seminary 2 w 2432
of 23 w 2434
the 63 w 2437
air 1 w 2440
consisting 2 w 2451
of 24 w 2453
forty-eight 1 w 2464
triangles 3 w 2473
of 25 w 2475
the 64 w 2478
same 4 w 2482
kind 2 w 2486
So 2 w 2489
that 5 w 2493
the 65 w 2496
one 8 w 2499
element 2 w 2506
of 26 w 2508
air 2 w 2511
stands 1 w 2517
upon 3 w 2521
two 4 w 2524
of 27 w 2526
fire 4 w 2530
joined 1 w 2537
together 1 w 2545
and 33 w 2548
condensed 1 w 2557
And 3 w 2561
again 1 w 2566
one 9 w 2570
body 2 w 2574
or 34 w 2576
element 3 w 2583
of 28 w 2585
air 3 w 2588
is 25 w 2590
divided 1 w 2597
into 3 w 2601
two 5 w 2604
of 29 w 2606
fire 5 w 2610
which 9 w 2616
again 2 w 2621
becoming 1 w 2630
thick 1 w 2635
and 34 w 2638
hard 1 w 2642
is 26 w 2645
changed 2 w 2652
into 4 w 2656
water 1 w 2661
so 6 w 2664
that 6 w 2668
throughout 2 w 2679
that 7 w 2684
which 10 w 2689
comes 1 w 2694
first 6 w 2699
into 5 w 2703
light 3 w 2708
gives 1 w 2713
easily 1 w 2719
birth 1 w 2724
unto 1 w 2728
the 67 w 2731
rest 2 w 2735
by 8 w 2737
transmutation 2 w 2750
And 4 w 2754
so 7 w 2756
it 17 w 2758
comes 2 w 2763
to 27 w 2765
pass 2 w 2769
that 8 w 2774
there 6 w 2779
is 27 w 2781
not 7 w 2784
merely 1 w 2790
one 10 w 2793
first 7 w 2798
principle 1 w 2807
of 30 w 2809
all 6 w 2812
things 1 w 2818
but 2 w 2822
one 11 w 2825
thing 4 w 2830
is 28 w 2832
so 8 w 2834
mixed 1 w 2839
with 2 w 2843
the 69 w 2846
origin 3 w 2852
of 31 w 2854
another 1 w 2861
in 38 w 2864
the 71 w 2867
several 1 w 2874
changes 1 w 2881
and 35 w 2884
alterations 1 w 2895
of 32 w 2897
nature 2 w 2903
by 9 w 2905
motion 1 w 2911
that 9 w 2916
the 72 w 2919
same 5 w 2923
name 1 w 2927
and 36 w 2930
denomination 1 w 2942
belong 1 w 2948
equally 1 w 2955
to 28 w 2957
all 8 w 2960