“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

On the dyad
The Theology of Arithmetic

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Iamblichus 15
Syrian philosopher 240–320

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Source: Mathematical Monads (1889), p. 268
Context: As the mathematics are now understood, each branch — or, if you please, each problem, — is but the study of the relations of a collection of connected objects, without parts, without any distinctive characters, except their names or designating letters. These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads. The relations between these points are mere complications of two different kinds of elementary relations, which may be termed immediate connection and immediate non-connection. All the monads except as serve as intermediaries for the connections have distinctive designations.

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“The Pythagoreans called the monad "intellect" because they thought that intellect was akin to the One; for among the virtues, they likened the monad to moral wisdom; for what is correct is one.”

Iamblichus (240–320) Syrian philosopher

On the Monad
The Theology of Arithmetic
Context: The Pythagoreans called the monad "intellect" because they thought that intellect was akin to the One; for among the virtues, they likened the monad to moral wisdom; for what is correct is one. And they called it "being," "cause of truth," "simple," "paradigm," "order," "concord," "what is equal among the greater and the lesser," "the mean between intensity and slackness," "moderation in plurality," "the instant now in time," and moreover they call it "ship," "chariot," "friend," "life," "happiness."

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“God manifests himself to us in the first degree through the life of the universe, and in the second degree through the thought of man. The second manifestation is not less holy than the first. The first is named Nature, the second is named Art.”

Dieu se manifeste à nous au premier degré à travers la vie de l’univers, et au deuxième degré à travers la pensée de l’homme. La deuxième manifestation n’est pas moins sacrée que la première. La première s’appelle la Nature, la deuxième s’appelle l’Art.

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“Anatolius says that it is called "matrix" and "matter," on the grounds that without it there is no number.
The mark which signifies the monad is the source of all things.”

Iamblichus (240–320) Syrian philosopher

On the Monad
The Theology of Arithmetic
Context: Likewise, they call it "Chaos," which is Hesiod's first generator, because Chaos gives rise to everything else, as the monad does. It is also thought to be both "mixture" and "blending," "obscurity" and "darkness" thanks to the lack of articulation and distinction of everything which ensues from it.
Anatolius says that it is called "matrix" and "matter," on the grounds that without it there is no number.
The mark which signifies the monad is the source of all things.

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