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  • 标题:A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation
  • 本地全文:下载
  • 作者:Nils Kürbis
  • 期刊名称:Bulletin of the Section of Logic
  • 印刷版ISSN:0138-0680
  • 电子版ISSN:2449-836X
  • 出版年度:2019
  • 卷号:48
  • 期号:2
  • 页码:81-97
  • DOI:10.18778/0138-0680.48.2.01
  • 出版社:Lodz University Press
  • 摘要:This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩ x [ F , G ] is read as `The F is G '. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ℩ x [ F , G ] are given, and it is shown that deductions in the system can be brought into normal form.
  • 其他摘要:This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩x[F, G] is read as `The F is G'. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ℩x[F, G] are given, and it is shown that deductions in the system can be brought into normal form.
  • 关键词:definite descriptions; negative intuitionist free logic; natural deduction; normalization.
  • 其他关键词:definite descriptions;negative intuitionist free logic;natural deduction;normalization
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