Assertive graphs

Journal of Applied Non-Classical Logics 28 (1):72-91 (2018)
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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, 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.

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Author Profiles

Daniele Chiffi
Politecnico di Milano
Francesco Bellucci
University of Bologna

Citations of this work

Abduction and diagrams.Ahti-Veikko Pietarinen - forthcoming - Logic Journal of the IGPL.
On the Logical Philosophy of Assertive Graphs.Daniele Chiffi & Ahti-Veikko Pietarinen - 2020 - Journal of Logic, Language and Information 29 (4):375-397.

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References found in this work

Elements of symbolic logic.Hans Reichenbach - 1966 - London: Dover Publications.
Assertion.Peter Geach - 1965 - Philosophical Review 74 (4):449-465.
Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Frege.Michael Dummett - 1975 - Teorema: International Journal of Philosophy 5 (2):149-188.

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