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Natural Deduction for Assertibility and Deniability

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F22%3A00559695" target="_blank" >RIV/67985955:_____/22:00559695 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.4204/EPTCS.358.4" target="_blank" >https://doi.org/10.4204/EPTCS.358.4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4204/EPTCS.358.4" target="_blank" >10.4204/EPTCS.358.4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Natural Deduction for Assertibility and Deniability

  • Original language description

    In this paper we split every basic propositional connective into two versions, one is called extensional and the other one intensional. The extensional connectives are semantically characterized by standard truth conditions that are relative to possible worlds. Assertibility and deniability of sentences built out of atomic sentences by extensional connectives are defined in terms of the notion of truth. The intensional connectives are characterized directly by assertibility and deniability conditions without the notion of truth. We pay special attention to the deniability condition for intensional implication. We characterize the logic of this mixed language by a system of natural deduction that sheds some light on the inferential behaviour of these two kinds of connectives and on the way they can interact.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

  • Project

    <a href="/en/project/GM21-23610M" target="_blank" >GM21-23610M: Logical Structure of Information Channels</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 10th International Conference on Non-Classical Logics. Theory and Applications, NCL 2022, Łódź, Poland, 14-18 March 2022

  • ISBN

  • ISSN

    2075-2180

  • e-ISSN

    2075-2180

  • Number of pages

    14

  • Pages from-to

    41-54

  • Publisher name

    Open Publishing Association

  • Place of publication

    online

  • Event location

    Łódź

  • Event date

    Mar 14, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article