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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 5 ideas from 'Against the Professors (six books)'

'Man is a rational mortal animal' is equivalent to 'if something is a man, that thing is a rational mortal animal' [Sext.Empiricus]
Right actions, once done, are those with a reasonable justification [Sext.Empiricus]
The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus]
How can you investigate without some preconception of your object? [Sext.Empiricus]
It is only when we say a proposition that we speak truly or falsely [Sext.Empiricus]