Review of Symbolic Logic 9 (2):209-237 (2016)

Francesco Bellucci
University of Bologna
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1017/s1755020315000362
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,316
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
Introduction to Mathematical Logic.Max Black - 1956 - Journal of Symbolic Logic 22 (3):286-289.

View all 19 references / Add more references

Citations of this work BETA

What Are Mathematical Diagrams?Silvia De Toffoli - 2022 - Synthese 200 (2):1-29.

View all 17 citations / Add more citations

Similar books and articles

Exploring the Beta Quadrant.Ahti-Veikko Pietarinen - 2015 - Synthese 192 (4):941-970.
.Jay Zeman - unknown
Linear Notation for Existential Graphs.Eric Hammer - 2011 - Semiotica 2011 (186):129-140.


Added to PP index

Total views
22 ( #515,644 of 2,519,451 )

Recent downloads (6 months)
3 ( #205,550 of 2,519,451 )

How can I increase my downloads?


My notes