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The Rule of Existential Generalisation and Explicit Substitution

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F22%3A00129024" target="_blank" >RIV/00216224:14210/22:00129024 - isvavai.cz</a>

  • Result on the web

    <a href="https://apcz.umk.pl/LLP/article/view/31855/30016" target="_blank" >https://apcz.umk.pl/LLP/article/view/31855/30016</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.12775/LLP.2021.011" target="_blank" >10.12775/LLP.2021.011</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Rule of Existential Generalisation and Explicit Substitution

  • Original language description

    The present paper offers the rule of existential generalisation (EG) that is uniformly applicable within extensional, intensional and hyperintensional contexts. In contradistinction to Quine and his followers, quantification into various modal contexts and some belief attitudes is possible without obstacles. The hyperintensional logic deployed in this paper incorporates explicit substitution and so the rule (EG) is fully specified inside the logic. The logic is equipped with a natural deduction system within which (EG) is derived from its rules for the existential quantifier, substitution and functional application. This shows that (EG) is not primitive, as often assumed even in advanced writings on natural deduction. Arguments involving existential generalisation are shown to be valid if the sequents containing their premises and conclusions are derivable using the rule (EG). The invalidity of arguments seemingly employing (EG) is explained with recourse to the definition of substitution.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

  • Project

    <a href="/en/project/GA19-12420S" target="_blank" >GA19-12420S: Hyperintensional Meaning, Type Theory and Logical Deduction</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Logic and logical philosophy

  • ISSN

    1425-3305

  • e-ISSN

    2300-9802

  • Volume of the periodical

    31

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    PL - POLAND

  • Number of pages

    37

  • Pages from-to

    105-141

  • UT code for WoS article

    000701852400001

  • EID of the result in the Scopus database

    2-s2.0-85129552949