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  • 标题:Graphic Deduction Based on Set
  • 本地全文:下载
  • 作者:Xia He ; Guoping Du ; Long Hong
  • 期刊名称:Journal of Universal Computer Science
  • 印刷版ISSN:0948-6968
  • 出版年度:2020
  • 卷号:26
  • 期号:10
  • 页码:1331-1342
  • 出版社:Graz University of Technology and Know-Center
  • 摘要:Based on basic concept of symbolic logic and set theory, this paper focuses on judgments and attempts to provide a new method for the study of logic. It establishes the formal language of the extension of judgment J*, and formally describes a , e , i , o judgment, and thus gives set theory representation and graphical representation that can distinguish between universal judgments and particular judgments. According to the content of non-modal deductive reasoning in formal logic, it gives weakening theorem, strengthening theorem and a number of typical graphical representation theorem (graphic theorem), where graphic deduction is carried out. Graphic deduction will be beneficial to the research of artificial intelligence, which is closely related to judgment and deduction in logic.
  • 关键词:formal logic; graphical deduction; graphical representation; graphical theorem; judgement; predicate
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