If the divine nature functions as shared matter among three hypostases, the analogy yields tritheism, as three bronze statues sharing the same bronze type remain three distinct objects.

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Key Terms

Hypostasis (plural: hypostases)(as used in Christian theology discussing the Trinity): A distinct individual being or person; in Christian theology, this refers to the three persons of the Trinity (Father, Son, and Holy Spirit).
Shared matter(as used in the bronze statue example to explain how three objects can share the same basic material): A common substance or material that multiple distinct things are made from.
analogy(Contrasted with homology, which concerns correspondence due to common ancestry.): A relation based on functional similarity between structures, which can occur despite different evolutionary origins.
divine nature(Distinguishes the divine nature from the three persons, which are compound substances): A reality that is both a property and a simple (non-compound) substance, shared as the matter-constituent in each of the three divine persons

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tritheism(Eastern Christian theological controversy; distinguished from the self-understanding of thinkers like Philoponus who denied abandoning monotheism)

A hostile label applied to theologians who, in attempting to make the mystery of the Trinity philosophically intelligible, concluded that the three Persons of the Trinity are three distinct divine substances — not a self-description adopted by those so labeled

If the divine nature functions as shared matter among three hypostases, the analogy yields tritheism, as three bronze statues sharing the same bronze type remain three distinct objects.

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