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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.

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A strict formalist view usually can not say when the formal rules for a system are inconsistent. Assuming the principle of explosion, inconsistency leads to the system breaking down, with all well fo …
answered Aug 25 '12 by Harshavardhan