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Single Idea 7485

[filed under theme 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One ]

Full Idea

For Pythagoreans, one, 1, is not a true number but the 'essence' of number, out of which the number system emerges.

Gist of Idea

For Pythagoreans 'one' is not a number, but the foundation of numbers

Source

report of Pythagoras (reports [c.530 BCE], Ch.8) by Peter Watson - Ideas Ch.8

Book Ref

Watson,Peter: 'Ideas: from fire to Freud' [Phoenix 2006], p.245


A Reaction

I think this is right! Counting and numbers only arise once the concept of individuality and identity have arisen. Counting to one is no more than observing the law of identity. 'Two' is the big adventure.


The 11 ideas from 'reports'

Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius]
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]
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]
Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius]
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]
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]