Venn Diagram with Names of Individuals and Their Absence: A Non-classical Diagram Logic

Abstract

Venn diagram system has been extended by introducing names of individuals and their absence. Absence gives a kind of negation of singular propositions. We have offered here a non-classical interpretation of this negation. Soundness and completeness of the present diagram system have been established with respect to this interpretation.

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Correspondence to Mihir Kr. Chakraborty.

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Bhattacharjee, R., Chakraborty, M.K. & Choudhury, L. Venn Diagram with Names of Individuals and Their Absence: A Non-classical Diagram Logic. Log. Univers. 12, 141–206 (2018). https://doi.org/10.1007/s11787-018-0186-7

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Mathematics Subject Classification

  • Primary 03B99
  • Secondary 00A66

Keywords

  • Diagram logic
  • absence of individuals
  • completeness
  • non-classical semantics