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2. They believe that very selfless people who are not Catholic, or even Christian, can go to heaven

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David, I stand to be corrected, but I think you are wrong on this point. A sine qua non to enter paradise, afaik, is a baptism. If I do remember in the catholic comsmogony, there is another place, actually called limbo, for such infortunates, which is neither hell, nor purgatory, but doesn't have all the facilities/benefits/attraction of heaven.

If I am corrected then there has been a certain evolution in catholic doctrine which augurs well for the lesser crazyness argument.