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Do we have to deal with partiality?

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F03%3A00009214" target="_blank" >RIV/61989100:27240/03:00009214 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Do we have to deal with partiality?

  • Original language description

    We present a semantic theory based on the Transparent Intensional Logic, which takes into account the fact that some sentences of natural language may happen not to have any truth value. Using two-level semantics, where between an expression E and the denoted entity D there is the expressed meaning (perhaps Frege's sense or Church's concept) of the expression, we model the meaning of E by a TIL construction C. We show that the construction C can fail to construct anything, in other words, in natural language we sometimes use empty concepts; and the denotation D, being a function, can fail to return a value at an argument. Hence, presenting some sound objective philosophical arguments in favour of the need to handle partial functions, we look for adequate technical tools to accommodate them in our logic. Different perspectives of a logician, mathematician and computer scientist toward non-denoting expressions naturally lead to different strategies of handling partial functions by partic

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA401%2F03%2F1403" target="_blank" >GA401/03/1403: Principles of Logical Analysis of Language Expressions and Intensional Logic</a><br>

  • Continuities

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

Others

  • Publication year

    2003

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Miscellania Logica

  • ISSN

    80-246-0799-9

  • e-ISSN

  • Volume of the periodical

    Neuveden

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    31

  • Pages from-to

    45-76

  • UT code for WoS article

  • EID of the result in the Scopus database