Decad

The treatise On the Decad mentioned by Theon (B5) might be by Archytas, but the treatise by Philolaus with which it is paired is spurious (Huffman 1993, 347-350), thus suggesting that the same may be true of the treatise under Archytas 'name as well.

Archytas Huffman, Carl 2007

Since, therefore, the number thirty is composed of three powers [the Ogdoad, Decad, and Duodecad], when multiplied by three, it produces ninety, for three times thirty are ninety.

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

Egypt to buy corn, [2894] and the ten apostles to whom the Lord appeared after His resurrection, -- Thomas [2895] being absent, -- represented, according to them, the invisible Decad.

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

These, being ten in number, they declare to be types of the invisible Decad, which proceeded from

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

Pleroma into three portions, -- namely, into an Ogdoad, a Decad, and a

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

Decad, and a Duodecad -- and not into some other number different from these?

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

[3110] Now seventy cannot possibly be the type either of an Ogdoad, a Decad, or a Triacontad.

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

The Decad, then, being joined with the Ogdoad, and multiplying it ten times, gave rise to the number eighty; and, again, multiplying eighty ten times, produced the number eight hundred.

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

From the mother of all things, that is, the first Tetrad, there came forth the second Tetrad, after the manner of a daughter; and thus an Ogdoad was formed, from which, again, a Decad proceeded: thus was produced a

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001

Decad, and a Duodecad, but any sort of number from the Scriptures, and then maintain that this was a type of the system of error devised by himself.

ANF01. The Apostolic Fathers with Justin Martyr and Irenaeus 1819-1893 2001