An Introduction to Paraconsistent IntegralDifferential Calculus: With Application Examples http://www.scirp.org/journal/PaperInformation.aspx?PaperID=44593Author(s) Leave a commentJoao Inacio Da Silva Filho ABSTRACTIn 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. KEYWORDSParaconsistent Logic, Paraconsistent Annotated Logic, Paraconsistent Mathematics, Paraconsistent Integral Differential Calculus Cite this paperDa Silva Filho, J. I. (2014) An Introduction to Paraconsistent Integral Differential Calculus: With Application Examples. Applied Mathematics, 5, 949-962. doi: 10.4236/am.2014.56090. Study of the Interactions between Particles Based in Paraquantum Logic MP >> Vol.3 No.5, May 2012 Study of the Interactions between Particles Based in Paraquantum Logic Full Text(PDF, 408KB) PP.362-376 DOI: 10.4236/jmp.2012.35051 Author(s) Joao Inacio Da Silva FilhoABSTRACT Paraquantum Logic (PQL) has its origins in the fundamental concepts of the Paraconsistent Annotated Logic (PAL) whose main feature is to be capable of treating contradictory information. In this work we presented a study of application of the PQL in resolution of phenomena of physical systems that involves the interactions between physical bodies or particles. Initially is considered that each particle or physical body that is in the physical world has a representative Lattice in the Paraquantum world. From this consideration is made a study of the phenomena of Paraquantum Entanglement modeling the interaction between particles based in fundamental concepts of the Paraquantum Logic. The mathematical relationships of representative Lattices of the Paraquantum Logic originate models with values that are identified with some physical constants. In this work these paraquantum values are identified with the Universal constant of Gravity, proposed by Newton, and the constant K, that relates the Interaction Force in charged particles in the Coulombs Law. The results showed that the Paraquantum Logical Model elaborated starting from the fundamental concepts of the Paraquantum Logic (PQL ) is adequate to support theories based in a Paraquantum Universe built by an infinite amount of Lattices and forming a Paraquantum net of infinite dimensions. Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative http://www.scirp.org/journal/PaperInformation.aspx?PaperID=44586Author(s) Joao Inacio Da Silva Filho ABSTRACTA 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