Intermediate Quantities: Logic, Linguistics and Aristotelian Semantics

by Philip L Peterson

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This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

  • ISBN13 9781000135695
  • Publish Date 24 July 2020 (first published 16 January 2019)
  • Publish Status Permanently Withdrawn
  • Out of Print 5 August 2022
  • Publish Country GB
  • Publisher Taylor & Francis Ltd
  • Imprint Routledge
  • Format eBook
  • Pages 294
  • Language English