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Philosophy of mathematics asks questions about mathematical theories and practices. It can include questions about the nature or reality of numbers, the ground and limits of formal systems and the nature of the different mathematical disciplines.
8
votes
Why isn't Cantor's diagonal argument just a paradox?
There is no justification for one or the other.
Russell's paradox is a paradox if you believe** in unrestricted comprehension (for each P there is a set {x | P}), or at least if you believe** that th …