“That the so−called proofs of propositions like that concerning the equilibrium of the lever, the relation of space and time in gravitation, etc., which applied mathematics frequently gives, should be taken and given as proofs, is itself merely a proof of how great the need is for knowledge to have a process of proof, seeing that, even where proof is not to be had, knowledge yet puts a value on the mere semblance of it, and gets thereby a certain sense of satisfaction. A criticism of those proofs would be as instructive as it would be significant, if the criticism could strip mathematics of this artificial finery, and bring out its limitations, and thence show the necessity for another type of knowledge.” – Georg Wilhelm Friedrich Hegel, The Phenomenology of Spirit (trans. J. B. Baillie)

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