At the time of this saint, a man by the name of Sabellius appeared in Alexandria who was teaching that the Father, the Son, and the Holy Spirit are one person.
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Achillas had been ordained a presbyter by Pope Theonas of Alexandria with Pierius, and was made the head of the Catechetical School of Alexandria upon the departure of Pierius, who had either left for Rome or been made a martyr at Alexandria.