Existential graphs as an instrument of logical analysis: Part I. Alpha

Francesco Bellucci, Ahti Veikko Pietarinen

Research output: Contribution to journalJournal articlepeer-review

46 Citations (Scopus)

Abstract

Peirce considered the principal business of logic to be the analysis of reasoning. He argued that the diagrammatic system of Existential Graphs, which he had invented in 1896, carries the logical analysis of reasoning to the furthest point possible. The present paper investigates the analytic virtues of the Alpha part of the system, which corresponds to the sentential calculus. We examine Peirce's proposal that the relation of illation is the primitive relation of logic and defend the view that this idea constitutes the fundamental motive of philosophy of notation both in algebraic and graphical logic. We explain how in his algebras and graphs Peirce arrived at a unifying notation for logical constants that represent both truth-function and scope. Finally, we show that Shin's argument for multiple readings of Alpha graphs is circular.

Original languageEnglish
Pages (from-to)209-237
Number of pages29
JournalReview of Symbolic Logic
Volume9
Issue number2
DOIs
Publication statusPublished - Jun 2016
Externally publishedYes

Scopus Subject Areas

  • Mathematics (miscellaneous)
  • Philosophy
  • Logic

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