NOL
The history of philosophy: containing the lives, opinions, actions and discourses of the philosophers of every sect. Illustrated with the effigies of divers of them

Chapter 7

II. Secrecy.

'AV'
V
1. Sciences preparathe' to IPhilofophy.
2. Aiathetnatick.^ its Name^ Parts.
SECT. I. Arithmetick;
%\)z
Containing the Jtalick Seft.
PYTHAGORAS.
1. H E Country.^ Parents^ andTime of Py-
i thagoras. ■ 346
2. Uis firft Education and Majiers. 34^
3. How he Traveled to Vhc^nkh. 345*
4. How he Travelled to Aigypt. ib
5. How he went to Babylon. 350
6. How he returned to Samus. 351
375
376
377 ibid
378
1. Number, its kinds 5,' the frji kind IntelleHu-
al, in the Divine Mind- ibid
2. The other kind cf Number, Sciential, its
Principles. ' ibid
3. The two kinds of Sciential Numbers, odd and even.
4. Symbolical d^umbers. •>
5. The Monad. '
6. The Duad.
7. 'The Triad, the Tetrad.
p. The Pentad.
I o. The Hexad.
The Heptad.
The Ogdoad. ■ ; , • ■
The Ennead.
The Decad. *
jpivination by Numbers.
1 1
12
13
1 4
15
1.
2.
7. How he went to Delus, Delphi, Crete, and | 5. OQochord.
ib.
352
ib.
Sparta.
8. How he went to Olympia and Phlius. p. ’ How he lived at Samus.
10. His Voyage tolvAj. 353
11. His arrival ^z/Crotona, and upon what oc-
cafion he became eminent there. 354
12. Hi'S Oration to the Toung Men. 355
13. Hi's Oration to the Senators. 3 5
14. His Oration to the Boys. 357
1 5. His Oration to the Women ib.
1 6. His Inf i tut ion of a Sell in Private and Pub-
S79 . ibid - 38a . iR
38 j
ibid
383 ib. ib.
384 ibid ibid
385
ib. '386 ibid
The Hrithmetical proportions of Harmony. Wo. The divijion of the Diapafon, according to the
SECT. 2. Mufick.
Voice, its kind.
Pirfi Mufick in the Planets.
4-
5* . . .
Diatonick kind.
6. The Canon of the Monochord.
7. Injiitution by Mufick.
8. Medicine by Mufick.
SECT. 3. Geometry,
. Of a Point, Tine, Superficies, Solid, Propofitions.
lick.
17. His Authority in Civil Affairs,
18. Wonders related of him. up. His Death.
20. His Perfon andVertues.
21. His Wife, Children, Servants.
22. His Writings.
23. His Difc-iples.
24. The Succefjion of his School.
358
ib.
3(5o
3
3^4
365
^66
368
3dp
The Difcipline and Do£l:rine of Pythagoras.
1. 'The great Authority and Efteem of Pythago
ras among his Difciples. 371
2. The two forts of Auditors, and firfl of the
exotefick, how he exploded them, 372
3. Purificative In ft it ut ion, by Sufferings. ib.
; Silence. ■ ^ ib
^5. Abfinence, Temperance, and other ways of
Purification. 3*^3
6. Coinniunity of Efiates. ib.
7. Admijfion or RejeUion of the Exoterick, Dif¬ ciples. ib.
8.. Dijiin&ion of thofethat voere admitted to be EJotericks. ' ib.
Q. How they difpofed the day. 374
387
388 ib.
38P
S90
ib. ib.
Hovo he college d the Statues e/Hercules. 3 pi
5 E C T. 4. Aftronomy. iji.
The Syjiem of the Spheres. ib.
The Motions of the Planets. 3 p2
The intervals and Harmony of the Spheres
4. Of the Planet Vems. 3P4
5. Philofophy, it Name, Definition, Parts Me¬ thod. . ib.
, SECT. I. Philofophy, its partsj
and 6rfi of Padeutick. 3P5
1. Injiitution, Silence, Abjiinence,
2. fortitude.
3. Temperance and Continuance.
4. Sagacity andWifdom.
ibid
^96
ib.
3p8
5 E C T. 2. Of Politick, the other part of PraBick Philofophy. ibid
Comon Converfation. priendjhip.
Worjhip of the Gods. Piety to the Dead,
ibid
ibid
399
400
Chap.
The Table.
Chap. page
y. Reverence of Rdrents^ and Obedience to the haw. , ib.
6. haw-making* . 4®*
SECT. 3. Theoretick Philofophy., its parts 5 and firft of the Science concerning the in- telligibles. ibid
1. Of the fupream God. ’ ibid
2. Of Gods, Damons, Heroes. ibid
3. Of fate and hortune. ibid
4. Divination. 402
•acfl.)
Page
Chap.
H E R A C L.'l T U S.
V •' ' .'j I
1. T T IS Country, Darcnts, Majiers. 438
2. jn How he ltvedat'E\fi^\:^. \
* s.
.OT
SECT. 4. Phyfick,
3* His retirement,
4. His Sicknefs and Death
5. His Apophihegtns.
6. His Writings. ^
ib. ! 7. His DoUrine.
1. Principles, •" ib.
2. Of the World. 404
3. Of the Superior or JEtherial parts of the
World. • 405
4. Of the Sublunary parts of the Worlii. ib.
5. Of living and animate creature. ibid
6. Of the Generation of animate Creatures, ib.
7. The Soul, its pdrts ; and firft of the irratio¬ nal part. 40(5
8. Of the Rational part of the Soul, t he Mind.
4?7
p. Of the Tranf migration of the Soul. ’ ib. 10. The feparate life of the Soul. 408
SECT. 5. Medicine.
ib.
ib.
40P
ib.
; ,\vA^u x\b.44i
..A\ 'A (,V;A:'442 -,v
■ ib.
V '\y~ A y i-
Sef^. I. Thai Fire is the Principle of all things.
.. .j£d
2. Of the Stars, Sun, Moqn, Diiy, Night, 8cc.
' 444
3. Of the Ebbing and Flowing of the Sea. ib,
4. Of living Creatifres. ; . ib.
(Jleljmtlj Pa,rt, ,
X E N 0 P H -A N E S.
1.
2.
HIS Life,
His Opinions.
1. Dhxtstick.
2. Therapeutick.
1. Pythagoras his Symbolical way of teaching.
410
2. The Symbols of PY\h2L^ot2&,according to Jatn-
blicus. ibid
3. An Explication of the Pvthasorick Symbols,
by Jamblicus. 41 1
4. The fame Symbols explained by others* 41^
5. Other Simbols* 418
The Golden Verfes of Pythagoras. 4 1 p
Timasus the Locrian, of the Soul of the World,
and of Nature. ib.
An Explication of the Pythagorick DoUrine by John Reuchlin. 423
1. Of Pythagoras his wiy of teaching by Silence
and Symbols. . ib.
2. The Tripple World. 424
3. The Supream World. ib.
4. The Intelligible World. 425
5. The Senftble World. 427
6. The State of the Soul after Death. ib.
7. Of the Pythagorical Tranf migration, 428
EMPEDOCLES.
1. His Country, Parents, 42P
2. His Mafters, 430
3. How he lived among AgrigentineSi his
Power and Authority. - ib.
4. Wonders related of him* 431
432 ib.
ibid
433
434^
436
ibid ibid
437
PARMENIDES.
1. His Fife.
2. His Opinions.
3. Ideds*
M EL I S S.
’ I. His Li fa.
2. His Opinions*
ZENO.^
1. His Life.
2. His Inventions of DialeUick.
3. His Opinions.
Leucippus.,
DEMOCRITUS.
5. His Death.
6. HisWritingsi
7. His Opinions.
Epicharmus.
Arch YT AS.
A L G M iE O N.
H I P P A S u s.
P HI LOLA US. Eudoxus.
44^
' H47 'XV .A ib.
448
nil 6 A
... ,44P
.\v\j.ii3y
450 ibid
451
452