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Ecumenical Council: Sixth Ecumenical Council
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To suggest that the Sixth Ecumenical Council does not invalidate the teaching of papal infallibility because Honorius did not make an ex cathedra statement is historically absurd. This is to erect arbitrary conditions which were not existent at the time to save oneself the embarrassment of a historical fact which undermines one's position. The issue is not what do individual Roman Catholic apologists say, but what did the Sixth Ecumenical Council say. On what basis did it condemn Pope Honorius? By its own words it condemned him in his official capacity as the bishop of Rome, not as a private theologian, for advancing heretical teachings which it says were Satanically inspired and would affect the entire Church. It specifically states that Honorius advanced these teachings, approved of them, and in a positive sense was responsible for disseminating them.
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The Sixth Ecumenical Council was convened by the emperor Constantine Pogonatos (668-685) at Constantinople in the year 681 to combat the Monothelite heresy. At it 171 holy Fathers were present, who affirmed the doctrine of two wills in Jesus Christ, the divine and the human.
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[T]he sixth Ecumenical Council referred to Honorius in the sixteenth session, on August 9, 681, at the acclamations and exclamations with which the transactions of this day were closed. The bishops exclaimed: "Anathema to the heretic Sergius, to the heretic Cyrus, to the heretic Honorius, to the heretic Pyrrhus"
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Sixth Ecumenical Council