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Single Idea 1517
[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
]
Full Idea
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature', because nature is a harmony of three concords (4th,5th and octave), and these ratios (4:3, 3:2, and 2:1) are found in the tektraktys.
Gist of Idea
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature'
Source
Sextus Empiricus (Against the Professors (six books) [c.180], 7.95)
Book Ref
'The First Philosophers', ed/tr. Waterfield,Robin [OUP 2000], p.102
The
14 ideas
with the same theme
[mathematics is the essence of reality]:
554
|
Pythagoreans say things imitate numbers, but Plato says things participate in numbers
[Pythagoras, by Aristotle]
|
644
|
For Pythagoreans the entire universe is made of numbers
[Pythagoras, by Aristotle]
|
375
|
When musical harmony and rhythm were discovered, similar features were seen in bodily movement
[Pythagoras, by Plato]
|
638
|
Pythagoreans define timeliness, justice and marriage in terms of numbers
[Pythagoras, by Aristotle]
|
553
|
Pythagoreans think mathematical principles are the principles of all of nature
[Pythagoras, by Aristotle]
|
1518
|
Everything must involve numbers, or it couldn't be thought about or known
[Philolaus]
|
1519
|
Harmony must pre-exist the cosmos, to bring the dissimilar sources together
[Philolaus]
|
473
|
There is no falsehood in harmony and number, only in irrational things
[Philolaus]
|
17858
|
Pythagoreans say the whole universe is made of numbers
[Aristotle]
|
1517
|
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature'
[Sext.Empiricus]
|
3645
|
To understand the universe mathematics is essential
[Galileo]
|
24023
|
All the sciences searching for order and measure are related to mathematics
[Descartes]
|
19356
|
Minds unconsciously count vibration beats in music, and enjoy it when they coincide
[Leibniz]
|
19592
|
The basic relations of nature are musical
[Novalis]
|