Venn Diagrams with “Most”: A Natural Logic Approach

Xinwen Liu, Ahti Veikko Pietarinen*

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

Abstract

This note exposes a little-known fact originally proposed by Nicholas Rescher in 1965, that the generalized second-order quantifier “Most” and the rules governing its behavior can be incorporated into Euler-Venn diagrams with an iconic notion of an arrow and its head and vane extensions and contractions. The objective is then to analyse this work further and to link it with the related but independently developed recent work in the area of natural logic.

Original languageEnglish
Title of host publicationDiagrammatic Representation and Inference
Subtitle of host publication12th International Conference, Diagrams 2021, Virtual, September 28–30, 2021, Proceedings
EditorsAmrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo, Petrucio Viana
PublisherSpringer Cham
Pages264-268
Number of pages5
ISBN (Electronic)9783030860622
ISBN (Print)9783030860615
DOIs
Publication statusPublished - 3 Sept 2021
Event12th International Conference on the Theory and Application of Diagrams, Diagrams 2021 - Virtual, Online
Duration: 28 Sept 202130 Sept 2021
https://link.springer.com/book/10.1007/978-3-030-86062-2

Publication series

NameLecture Notes in Computer Science
Volume12909
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349
NameLecture Notes in Artificial Intelligence
NameDiagrams: International Conference on Theory and Application of Diagrams

Conference

Conference12th International Conference on the Theory and Application of Diagrams, Diagrams 2021
CityVirtual, Online
Period28/09/2130/09/21
Internet address

Scopus Subject Areas

  • Theoretical Computer Science
  • Computer Science(all)

User-Defined Keywords

  • Arrow
  • Most
  • Natural logic
  • Rescher quantifier
  • Venn diagrams

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