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Why popes shouldn’t resign, a logic approach

Benedict XVI has decided to resign. From a pure logic standpoint this is a weakness point for the catholic church. When the new pope is elected by the conclave there will be two persons alive planet with the gift of infallibility. That means that is possible for a occupant pope to have a different opinion on a subject than the former pope. This creates a paradox. If both popes have different opinions, either both popes are dogmatically right on divergent opinions (e.g. may be right AND wrong to use a condom at the same time) or the pope doesn’t have infallibility, one of the core dogmas of the catholic chuch.

This is why no one is going ever hear or see Benedict XVI after February 28.