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Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative
A type of Inconsistent Mathematics structured on Paraconsistent Logic (PL) and that has, as the main purpose, the study of common mathematical objects such as sets, numbers and functions, where some contradictions are allowed, is called Paraconsistent Mathematics. The PL is a non-Classical logic and its main property is to present tolerance for contradiction in its fundamentals without the invalidation of the conclusions. In this paper (part 1), we use the PL in its annotated form, denominateddoi:10.4236/am.2014.56086 fatcat:u3kod2arzbdafifa7axfhhpece