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  • Problems are defined as abstract procedures. An explication of procedures as used in Transparent Intensional Logic (TIL) and called constructions is presented and the subclass of constructions called concepts is defined. Concepts as closed constructions modulo alfa- and eta-conversion can be associated with meaningful expressions of a natural or professional language in harmony with Church's conception. Thus every meaningful expression expresses a concept. Since every problem can be unambiguously determined by a concept we can state that every problem is a concept and every concept can be viewed as a problem. Kolmogorov's idea of a connection between problems and Heyting's calculus is examined and the non-classical features of the latter are shown to be compatible with realistic logic using partial functions.
  • Problems are defined as abstract procedures. An explication of procedures as used in Transparent Intensional Logic (TIL) and called constructions is presented and the subclass of constructions called concepts is defined. Concepts as closed constructions modulo alfa- and eta-conversion can be associated with meaningful expressions of a natural or professional language in harmony with Church's conception. Thus every meaningful expression expresses a concept. Since every problem can be unambiguously determined by a concept we can state that every problem is a concept and every concept can be viewed as a problem. Kolmogorov's idea of a connection between problems and Heyting's calculus is examined and the non-classical features of the latter are shown to be compatible with realistic logic using partial functions. (en)
Title
  • The Notion of Problem, Intuitionism and Partiality
  • The Notion of Problem, Intuitionism and Partiality (en)
skos:prefLabel
  • The Notion of Problem, Intuitionism and Partiality
  • The Notion of Problem, Intuitionism and Partiality (en)
skos:notation
  • RIV/00216224:14330/08:00028788!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/2781), P(GA401/07/0451), P(IAA0009001), Z(AV0Z90090514)
http://linked.open...iv/cisloPeriodika
  • 17
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 382995
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/08:00028788
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • abstract procedures; constructions; effective procedures; concepts; partiality (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [C335CF8807A0]
http://linked.open...i/riv/nazevZdroje
  • Logic and logical philosophy
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 17
http://linked.open...iv/tvurceVysledku
  • Materna, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 1425-3305
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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