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Single Idea 24023

[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature ]

Full Idea

I have discovered that all the sciences which have as their aim the search for order and measure are related to mathematics.

Gist of Idea

All the sciences searching for order and measure are related to mathematics

Source

René Descartes (Rules for the Direction of the Mind [1628], 04)

Book Ref

Descartes,René: 'Rules for the Direction of the Mind' [Newcomb Library 2023], p.16


A Reaction

Note that he sound a more cautious note than Galileo's famous remark. It leaves room for biology to still be a science, even when it fails to be mathematical.


The 14 ideas with the same theme [mathematics is the essence of reality]:

Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
Everything must involve numbers, or it couldn't be thought about or known [Philolaus]
Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]
There is no falsehood in harmony and number, only in irrational things [Philolaus]
Pythagoreans say the whole universe is made of numbers [Aristotle]
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus]
To understand the universe mathematics is essential [Galileo]
All the sciences searching for order and measure are related to mathematics [Descartes]
Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz]
The basic relations of nature are musical [Novalis]