"There is a bond, it appears, between mother and child which endures as long as they do. It is independent of love; reason cannot weaken it; hate cannot destroy it."

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What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.

— Timothy Gowers