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Differential Calculus Based on the Double Contradiction

2016
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Open Journal of Philosophy
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The derivative is a basic concept of differential calculus. However, if we calculate the derivative as change in distance over change in time, the result at any instant is 0/0, which seems meaningless. Hence, Newton and Leibniz used the limit to determine the derivative. Their method is valid in practice, but it is not easy to intuitively accept. Thus, this article describes the novel method of differential calculus based on the double contradiction, which is easier to accept intuitively. Next,

doi:10.4236/ojpp.2016.64039
fatcat:mxe4k7ajyrbuvnthvxsh2fylha