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摘要:
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, denominated Paraconsistent Annotated Logic with annotation of two values—PAL2v for present a first-order Paraconsistent Derivative. The PAL2v has, in its representation, an associated lattice FOUR based on Hasse Diagram. This PAL2v-Lattice allows development of a Para-consistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this first article it is presented some examples applying derivatives of first-order with the concepts of Paraconsistent Mathematics. In the second part of this work we will show the Paraconsistent Derivative of second-order with application examples.
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篇名 Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative
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,(6) 所属期刊栏目
研究方向 页码范围 904-916
页数 13页 分类号 O1
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Paraconsistent
LOGIC
Paraconsistent
Annotated
LOGIC
Paraconsistent
MATHEMATICS
Paraconsistent
DIFFERENTIAL
CALCULUS
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应用数学(英文)
月刊
2152-7385
武汉市江夏区汤逊湖北路38号光谷总部空间
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1878
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论文1v1指导