Assertive graphs

F. Bellucci, D. Chiffi*, A. V. Pietarinen

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

18 Citations (Scopus)

Abstract

Peirce and Frege both distinguished between the propositional content of an assertion and the assertion of a propositional content, but with different notational means. We present a modification of Peirce’s graphical method of logic that can be used to reason about assertions in a manner similar to Peirce’s original method. We propose a new system of Assertive Graphs (AGs), which unlike the tradition that follows Frege involves no ad hoc sign of assertion. We show that axioms of intuitionistic logic can be derived from AGs, and argue that AGs analyse and represent assertions and illocutionary content in a way which is motivated both by its logical properties and its historical connection with the ideas that led to the development of the graphical method.

Original languageEnglish
Pages (from-to)72-91
Number of pages20
JournalJournal of Applied Non-Classical Logics
Volume28
Issue number1
DOIs
Publication statusPublished - 2 Jan 2018

Scopus Subject Areas

  • Philosophy
  • Logic

User-Defined Keywords

  • assertion
  • assertive graphs
  • existential graphs
  • Frege
  • intuitionism
  • Peirce

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