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Negation in Contextual Logic

机译:语境逻辑的否定

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摘要

This contribution discusses a formalization of the "negation of a concept". The notion of "concept" has been successfully formalized in the early eighties and led to the theory of Formal Concept Analysis. Boole (1815-1864) developed a mathematical theory for human thought based on signs and classes. The formalization of the negation of concepts is needed in order to develop a mathematical theory of human thought based on "concept as a basic unit of thought". Two approaches will be discussed: negation as a partial or as a full operation on concepts.
机译:该文稿讨论了“否定概念”的形式化问题。 “概念”的概念已在八十年代初成功地形式化,并形成了形式概念分析的理论。布尔(1815-1864)开发了一种基于符号和类别的人类思维数学理论。为了发展基于“概念作为思想的基本单位”的人类思想的数学理论,需要对概念进行否定形式化。将讨论两种方法:否定是对概念的部分或全部操作。

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