Twins in logic - identical and otherwise

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Abstract

Connectives are twins in a logic, according to a metaphor of Łukasiewicz, when they behave ‘in the same way’ according to that logic. There are, however, looser and stricter ways of understanding that phrase, informally contrasted in §1 and then precisely defined and illustrated in §3, after a glance at related work by Michael Byrd and Evgeni Zolin in §2. §4 returns to the motivating case of the Ł-modal system, with its ‘twin possibility operators.’ One rather detailed discussion arising from §3 is deferred to an Appendix, so as not to interrupt the flow.
Original languageEnglish
Title of host publicationContemporary Logic and Computing
EditorsAdrian Rezus
Place of PublicationLondon UK
PublisherCollege Publications
Pages113-156
Number of pages44
Edition1st
ISBN (Print)9781848903401
Publication statusPublished - 2020

Publication series

NameLandscapes in Logic
PublisherCollege Publications
Volume1

Keywords

  • Connectives
  • Łukasiewicz

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