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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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What would happen if suddenly, 1+1=2 is disproved?
most fundamental equation
Your assumption is flawed. 1 + 1 = 2 is not an axiom of mathematics, but (as Sputnik points out) a consequence of the Peano axioms applied to base 10 representations of …