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 (sĕm′ē-ăr′ē-ən, -âr′-, sĕm′ī-)
A member of the Homoiousian party led by the fourth-century ad Bishop Basil of Ancyra.

Sem′i-Ar′i·an adj.
Sem′i-Ar′i·an·ism n.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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Finally, the Arian and semi-Arian heresies that gave rise first to the Council of Nicaea in 325 and then to First Constantinople in 381 make clear the key difference between divine simplicity in the classical philosophical sense and the notion of divine complexity as a result of belief in the doctrines of the Trinity and the Incarnation.
Lohr employs an approach akin to Lyman's but, whereas she studied bishops considered orthodox by later Catholic standards, he studies ones not only whom Epiphanius and later Catholicism dubbed Semi-Arian but who, formed into a tightly knit party, defined their group as orthodox and their adversaries as heretics.
Thus, in that understanding, Newman concluded that the Semi-Arians were the Anglicans, the Arians were the Protestants, and the Catholics were right where they were in the fourth century, namely, holding the orthodox ground.

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