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Sequential Predication

Sequential Predication
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摘要 Vladimir Markin proposes a certain construction---a generalisation of syllogistic--in which he uses the constant @ with indef'mite arity. The atomic formulae are of the following sort: S1S2 ...Sm@P1P2...Pn, where re+n〉0. The standard syllogistic functors are here interpreted as follows: SAP=: S@P SeP=: SP@ SIP=: -SP@ SOP=: ~S@P Markin constructs a system of Fundamental Syllogistic (FS) with constant @ in an axiomatic way. Based on Markin's idea, we propose two constructions, which are formulations of the system of sequential predication built upon the quantifier-less calculus of names. The first one includes the FS system. The second one is enriched with individual variables and, among other things, allows including sequences of individual names in which one has to do with enumerative functors. The counterpart of Hao Wang's algorithm holds in the first system extended with negative terms.
出处 《Journal of Philosophy Study》 2015年第5期244-256,共13页 哲学研究(英文版)
关键词 sequential predication generalization of syllogistic quantifier.less calculus of names Hao Wang'salgorithm 序列预测 公理化方法 三段论 系统 SAP SEP SOP 子序列
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参考文献5

  • 1Borkowski, Ludwik. "A Quantifier-Less Suppositional System of the Calculus of Names." Studies in Logic and Theory of Knowledge 1 (1985): 15-31.
  • 2Markin, Vladimir. "Fundamental Syllogistics with Indefinably-Placed Constant." Logical Investigations (Logiciesla'je isliedovanija) 11 (2004): 189-201.
  • 3Wang, Hao. "Toward Mechanical Mathematics." A Survey of Mathematical Logic. Amsterdam: North Holland Publishing, 1963. 224-68.
  • 4Wojciechowski, Eugeniusz. "A Certain Quantifier-Less Calculus of Names." Logic & Philosophical Logic 1996-1998. Eds. Perzanowski Jerzy and Pietruszczak Andrzej. Torun: Wydawnictwo UMK, 2000. 109-26.
  • 5Wojciechowski, Eugeniusz. "The Calculus of Names with Lists." Annals of Philosophy 59.1 (2011): 35-50.

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