Arithmetic - the fundament of all -
From it stem music, geometry and astronomy.
This field is split in twain,
Into magnitude and multitude.
Monad - the one.
Any system considered as whole.
Both the universe,
And each respective element within.
The indivisible,
The Divine.
The summit of the many.
Unity.
Two orders exist: odd and even,
Of which odds form two classes:
Incomposite - prime numbers.
Composite - with divisors
Even numbers form three classes:
Evenly-even, in duple ratio from unity;
Evenly-odd, being halved only once;
Oddly-odd, halved more than once, non-power two.
One - the Monad,
Pre-eminent mind,
Hermaphrodite.
The state of God.
Two - the Duad,
Opposition.
First rebel of the Divine One.
Three - the Triad,
Equilibrium.
Union of the Monad and Duad.
Four - the Tetrad,
Root of all,
Evenly-even.
The perfect number.
Five - the Pentad,
Ontologically ether.
Six - the Hexad,
The form of forms.
Seven - the Heptad,
The motherless virgin.
Eight - the Ogdoad,
Of the first cube.
Nine - the Ennead,
Failure incarnate.
"The Decad - ten - according to Pythagoras,
is the greatest of numbers, not only because it is the Tetractys,
but because it comprehends all arithmetic and harmonic proportions.
Decad is the nature of number, because all nations reckon to it,
and when they arrive at it they return to the Monad.
The Decad was called both Heaven and the
World, because the former includes the latter."
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