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Title: Some Logical Notations for Pragmatic Assertions
Author(s): CARRARA, Massimiliano , CHIFFI, Daniele , PIETARINEN, Ahti-Veikko
Journal: Logique et Analyse
Volume: 251    Date: 2020   
Pages: 297-315
DOI: 10.2143/LEA.251.0.3288642

Abstract :
The pragmatic notion of assertion has an important inferential role in logic. There are also many notational forms to express assertions in logical systems. This paper reviews, compares and analyses languages with signs for assertions, including explicit signs such as Frege’s and Dalla Pozza’s logical systems and implicit signs with no specific sign for assertion, such as Peirce’s algebraic and graphical logics and the recent modification of the latter termed Assertive Graphs. We identify and discuss the main ‘points’ of these notations on the logical representation of assertions, and evaluate their systems from the perspective of the philosophy of logical notations. Pragmatic assertions turn out to be useful in providing intended interpretations of a variety of logical systems.

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