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5 propositions

2 inferences

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Claim

If the Pope could gravely err, any dogma could be wrong




Arguments

If it is true that...

If the Pope could gravely err, he could err about doctrine of infallibility

and

If the doctrine of infallibility is wrong, any dogma could be wrong

Then it must be true that...

If the Pope could gravely err, any dogma could be wrong


Consequences

If it is true that...

Catholic dogma cannot be wrong

and

If the Pope could gravely err, any dogma could be wrong

Then it must be true that...

The Pope cannot gravely err