ABSURDITY AS UNARY OPERATOR

Sergei P. Odintsov

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ABSURDITY AS UNARY OPERATOR

于Essays in Logic and Ontology

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Sergei P. Odintsov

Sergei P. Odintsov
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类型:: 章节

Page Range:: 225–242

DOI:: https://doi.org/10.1163/9789004332966_015

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Abstract

It was shown in the previous work of the author that one can avoid the paradox of minimal logic {ϕ, ¬ϕ} ├ ¬ψ defining the negation operator via reduction not a constant of absurdity, but to a unary operator of absurdity. In the present article we study in details what does it mean that negation in a logical system can be represented via an absurdity or contradiction operator. We distinguish different sorts of such presentations. Finally, we consider the possibility to represent the negation via absurdity and contradiction operators in such well known systems of paraconsistent logic as D.Batens’s logic CLuN and Sette’s logic P1.

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Essays in Logic and Ontology

丛编： Poznań Studies in the Philosophy of the Sciences and the Humanities, 卷： 91and Poznań Studies in the Philosophy of the Sciences and the Humanities Online, 卷： 91

ISBN:: 9789004332966

出版社:: Brill

印刷出版日期:: 01 Jan 2007

Subjects
- Philosophy
  - Philosophy of Science
  - Philosophy of Mind

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ABSURDITY AS UNARY OPERATOR

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Essays in Logic and Ontology

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