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Da Costa, N.C.A. (2000) Paraconsistent Mathematics. In: Batens, D., Mortensen, C., Priest, G. and Bendegen van, J.P., Eds., I World Congress on Paraconsistency1998 Ghent, Belgium, Frontiers in Paraconsistent Logic: Proceedings, King’s College Publications, London, 165-179.

has been cited by the following article:

• TITLE: An Introduction to Paraconsistent Integral Differential Calculus: With Application Examples

  AUTHORS: João Inácio Da Silva Filho

  KEYWORDS: Paraconsistent Logic, Paraconsistent Annotated Logic, Paraconsistent Mathematics, Paraconsistent Integral Differential Calculus

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 8, 2014

  ABSTRACT: In this paper we show that it is possible to integrate functions with concepts and fundamentals of Paraconsistent Logic (PL). The PL is a non-classical Logic that tolerates the contradiction without trivializing its results. In several works the PL in his annotated form, called Paraconsistent logic annotated with annotation of two values (PAL2v), has presented good results in analysis of information signals. Geometric interpretations based on PAL2v-Lattice associate were obtained forms of Differential Calculus to a Paraconsistent Derivative of first and second-order functions. Now, in this paper we extend the calculations for a form of Paraconsistent Integral Calculus that can be viewed through the analysis in the PAL2v-Lattice. Despite improvements that can develop calculations in complex functions, it is verified that the use of Paraconsistent Mathematics in differential and Integral Calculus opens a promising path in researches developed for solving linear and nonlinear systems. Therefore the Paraconsistent Integral Differential Calculus can be an important tool in systems by modeling and solving problems related to Physical Sciences.