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Single Idea 644
[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
]
Full Idea
For Pythagoreans the entire universe is constructed of numbers.
Gist of Idea
For Pythagoreans the entire universe is made of numbers
Source
report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 1080b
Book Ref
Aristotle: 'Metaphysics', ed/tr. Lawson-Tancred,Hugh [Penguin 1998], p.409
The
14 ideas
with the same theme
[mathematics is the essence of reality]:
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554
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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]
|
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1518
|
Everything must involve numbers, or it couldn't be thought about or known
[Philolaus]
|
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1519
|
Harmony must pre-exist the cosmos, to bring the dissimilar sources together
[Philolaus]
|
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473
|
There is no falsehood in harmony and number, only in irrational things
[Philolaus]
|
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17858
|
Pythagoreans say the whole universe is made of numbers
[Aristotle]
|
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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]
|
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19592
|
The basic relations of nature are musical
[Novalis]
|