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Single Idea 553
[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
]
Full Idea
The Pythagoreans thought that the principles of mathematical entities were the principles of all entities.
Gist of Idea
Pythagoreans think mathematical principles are the principles of all of nature
Source
report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 985b
Book Ref
Aristotle: 'Metaphysics', ed/tr. Lawson-Tancred,Hugh [Penguin 1998], p.19
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]
|
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3645
|
To understand the universe mathematics is essential
[Galileo]
|
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24023
|
All the sciences searching for order and measure are related to mathematics
[Descartes]
|
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19356
|
Minds unconsciously count vibration beats in music, and enjoy it when they coincide
[Leibniz]
|
|
19592
|
The basic relations of nature are musical
[Novalis]
|