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Quotes from Nicomachus of Gerasa: Introduction to Arithmetic — Nicomachus

b. 120 Greece

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5 quotes

Scientific number, being set over such things as these, should be harmoniously constituted, in accordance with itself; not by any other but by itself.

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Number is limited multitude or a combination of units or a flow of quantity made up of units; and the first division of number is even and odd.

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Two other sciences in the same way will accurately treat of 'size': geometry, the part that abides and is at rest, [and] astronomy, that which moves and revolves.

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Everything that is harmoniously constituted is knit together out of opposites...
Book I, Chapter VII

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Every number is at once half the sum of the two on either side of itself...
Book II, Chapter XXV

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Attribution

Quotes and notes from Wikiquote: Nicomachus (page history), available under CC BY-SA 4.0.