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by aries1980
2009 days ago
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> If you accept that you can’t prove your axioms, then your not accepting that all beliefs about truth are equally valid, you’re only accepting that all beliefs about truth are equally capable of being proven (as in, equally not capable at all). Afaik this is related to Gödel's Incompleteness Theorem, so all you can say that within the axiom set you can't prove that there is no contradiction. (Note that this doesn't mean there is a contradiction, but you can't prove there is or there isn't any.) |
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