TITLE:
Paraconsistent Differential Calculus (Part II): Second-Order Paraconsistent Derivative
AUTHORS:
João Inácio Da Silva Filho
KEYWORDS:
Paraconsistent Logic, Paraconsistent Annotated Logic, Paraconsistent Mathematics, Paraconsistent Differential Calculus
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.8,
May
5,
2014
ABSTRACT:
The Paraconsistent
Logic (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, we use the PL in its annotated form, denominated Paraconsistent
Annotated Logic with annotation of two values-PAL2v. This type of
paraconsistent logic has an associated lattice that allows the development of
a Paraconsistent Differential Calculus based on fundamentals and equations obtained
by geometric interpretations. In this paper (Part II), it is presented a
continuation of the first article (Part I) where the Paraconsistent
Differential Calculus is given emphasis on the second-order Paraconsistent
Derivative. We present some examples applying Paraconsistent Derivatives at
functions of first and second-order with the concepts of Paraconsistent
Mathematics.