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.

Assertive graphs / Francesco Bellucci; Daniele Chiffi; Ahti-Veikko Pietarinen. - In: JOURNAL OF APPLIED NON-CLASSICAL LOGICS. - ISSN 1958-5780. - ELETTRONICO. - In press:(2018), pp. 1-20. [10.1080/11663081.2017.1418101]

Assertive graphs

Francesco Bellucci;
2018

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.
2018
Assertive graphs / Francesco Bellucci; Daniele Chiffi; Ahti-Veikko Pietarinen. - In: JOURNAL OF APPLIED NON-CLASSICAL LOGICS. - ISSN 1958-5780. - ELETTRONICO. - In press:(2018), pp. 1-20. [10.1080/11663081.2017.1418101]
Francesco Bellucci; Daniele Chiffi; Ahti-Veikko Pietarinen
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/622826
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