1908, Walter Frederic Adeney, The Greek and Eastern churches, New York: C. Scribner's Sons, →OCLC, page 504:
[…]Tetratheists […] teaching of Damianus[…] patriarch of Alexandria […] recognised first the essential personality of the one substance, God in Himself, and then a separate individuality for each of the Three Persons of the Trinity. His opponent, Peter of Calinicus, would make him push his argument further, and so come to have a separate divinity for each property of God, a perfect pantheon, if he would be consistent with his root principle.
From this it follows that the divine essence is not an independent existence alongside of the three persons. It has no existence outside of and apart from the three persons. If it did, there would be no true unity, but a division that would lead into tetratheism.
2002, Hans Hauben, “On the Invocation of the 'Holy and Consubstantial Trinity' in Byzantine Oath and Dating Formulas”, in Zeitschrift für Papyrologie und Epigraphik, volume 139, Bonn: Dr. Rudolf Habelt GmbH, →ISSN, →JSTOR, page 160:
[…] "consubstantialTrinity" could have been a reaction against the supposed heresy of […]Damian[…] who was accused of "tetratheism" (or "tetradism", distinguishing four different entities in the Godhead), a response to, but as it seems a variant of, the very influential "tritheism" of John Philoponus (distinguishing three Deities in the Trinity) […]
2004, Herman Bavinck, edited by John Bolt and John Vriend, Reformed Dogmatics, volume 2, Grand Rapids: Baker Academic, page 293:
When in addition the divine being is viewed in a Platonic-realistic sense, tritheism turns into tetratheism, an error with which Damian of Alexandria was charged.
2004, Herman Bavinck, edited by John Bolt and John Vriend, Reformed Dogmatics, volume 2, Grand Rapids: Baker Academic, page 299:
Excessive realism, on the other hand, associates the word “essence” with some subsistentthing that stands behind or above the persons and so leads to tetratheism or Sabellianism.
2005, John Farrelly, The Trinity : rediscovering the central Christian mystery, Lanham, MD: Rowman & Littlefield, →ISBN, page 104: