Paraconsistent Differential Calculus (Part II): Second-Order Paraconsistent Derivative

• 作者: Jo?o Inácio Da Silva Filho
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Paraconsistent LOGIC Paraconsistent Annotated LOGIC Paraconsistent MATHEMATICS Paraconsistent DIFFERENTIAL CALCULUS
• 年，卷（期）: 2014,（8）
• 页码范围: 1142-1151
• 页数: 10页
• 分类号: O1

摘要

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.