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Iamblichus of Chalcis

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The Triad has a special beauty and fairness beyond all numbers, primarily because it is the very first to make actual the potentiality of the Monad — oddness, perfection, proportionality, unification, limit.
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On the Triad

 
Iamblichus of Chalcis

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If the potential of every number is in the monad, then the monad would be intelligible number in the strict sense, since it is not yet manifesting anything actual, but everything conceptually together in it.

 
Iamblichus of Chalcis
 

The dyad gets its name from passing through or asunder; for the dyad is the first to have separated itself from the monad, whence also it is called "daring." For when the monad manifests unification, the dyad steals in and manifests separation.

 
Iamblichus of Chalcis
 

Only the actual conception of the divine nature changes according to the different ideas of perfection which prevail in particular ages and nations. The gods of the remoter ages of Greece and Rome, and those worshipped by our own earliest forefathers, were simply ideals of bodily strength and prowess. As the idea of sensuous beauty arose and gradually became refined, the sensuous personification of beauty was exalted to the throne of deity; and hence arose what we might call the religion of art. When men ascended from the sensuous to the purely spiritual, from the beautiful to the good and true, the sum of all moral and intellectual perfection became the object of their adoration, and religion became the province of philosophy.

 
Wilhelm von Humboldt
 

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly dissimilar to, and I might even say in principle the same as, my method described above of introducing transfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.

 
Georg Cantor
 

There is presumably an upper limit to the carrying capacity of humans on earth—of the numbers that agriculture can support—and that number is usually estimated at between 13-15 billion, though some people think the ultimate numbers might be much higher. (2001)

 
Niles Eldredge
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