The Pope is infallible when he speaks ex cathedra
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The Pope holds supreme authority over the entire Christian Church 1 0 2According to Christ's ordinance, Peter is to have successors in his primacy over the whole Church and for all time 1 0 2In the final decision on doctrines concerning faith and morals, the Church is infallible 1 0 2The primary object of Infallibility is the formally revealed truths of Christian Doctrine concerning faith and morals 1 0 2The totality of the Bishops is infallible, when they, either assembled in general council or scattered over the earth, propose a teaching of faith or morals as one to be held by all the faithful 1 0 2The Pope cannot gravely err 0 0 1If the Pope could gravely err, he could err about doctrine of infallibility 0 0 1Catholic dogma cannot be wrong 0 0 1If the doctrine of infallibility is wrong, any dogma could be wrong 0 0 1If the Pope could gravely err, any dogma could be wrong 0 0 1