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Document Details : 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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