Some Logical Notations for Pragmatic Assertions

Massimiliano Carrara, Daniele Chiffi, Ahti Veikko Pietarinen

    Research output: Contribution to journalJournal articlepeer-review

    1 Citation (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)297-315
    Number of pages19
    JournalLogique et Analyse
    Volume251
    DOIs
    Publication statusPublished - May 2020

    Scopus Subject Areas

    • Philosophy

    User-Defined Keywords

    • Assertion
    • Assertive Graphs
    • Existential Graphs
    • Logical notations
    • Pragmatic Logic

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