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Aristotle vs. Boole: A Case of the Universe of Discourse

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F18%3A73594005" target="_blank" >RIV/61989592:15210/18:73594005 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Aristotle vs. Boole: A Case of the Universe of Discourse

  • Original language description

    I will present a case study comparing Aristotelian and modern predicate logic. The traditional square of opposition embodied certain relations between propositions. When rewritten into the language of modern logic, the relations embodied in the traditional square mostly disappear. As a matter of fact, some conservative versions of predicate logic, namely sortal logic, preserve relations in the square. I will argue that the explanation of the fact is that modern logic accepts the so-called principle of wholistic reference. The principle was stated initially by Boole with respect to his concept of a so-called universe of discourse. According to the principle, each and every proposition refers to the universe of discourse as such. The difference between Aristotelian and modern logic will thus be portrayed as a difference in the concept of what are we talking about in the universal propositions

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

  • Project

    <a href="/en/project/GA19-06839S" target="_blank" >GA19-06839S: Non-classical Interpretation of the Aristotelian Logic and Theory of Predication</a><br>

  • Continuities

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

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    AITHÉR

  • ISSN

    1803-7860

  • e-ISSN

  • Volume of the periodical

    10

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    10

  • Pages from-to

    98-107

  • UT code for WoS article

  • EID of the result in the Scopus database