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KANT'S THEORY OF MATHEMATICS

1883
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Mind
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NOTES AND DISCUSSIONS. 577 MR. MONCK'S argument is clear and to the point. But he will see, I think, on further consideration, that, if it is once granted to me that the equation between a number and the number next below it + 1 is the definition of the higher number and therefore an analytical proposition, I can deduce 12 = 7 + 5, without any more "counting" than is involved in the substitution of the right-hand term of such an equation for its left-hand term. This deduction, as I conceive it,

doi:10.1093/mind/os-viii.32.577
fatcat:vpqyz5rppvh4fn625wmokqe6de