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  • This paper solves, in a logically rigorous manner, a problem discussed in a 2004 paper by Stephen Neale. John loves his wife, and so does Peter. Hence John and Peter share a property. But which one? (1) Loving John’s wife: then John and Peter love the same woman. (2) Loving one's own wife: then, unless they are married to the same woman, John loves one woman and Peter loves another woman. Since %22John loves his wife%22 is ambiguous between attributing (1) or (2) to John, %22So does Peter%22 is also ambiguous between attributing (1) or (2) to Peter. With unrestricted beta-reduction, the lambda-term counterparts of the attributions of (1) to John and of (2) to John beta-reduce to the former. Which they should not. With suitably restricted beta-conversion, the two redexes do not reduce to the same contractum and can be reconstructed from their respective contracta. This paper details how to apply this restricted rule of beta-conversion to contexts containing anaphora such as his’ and 'so does'. The logical contribution of the paper is a generally valid form of beta-reduction 'by value'. The philosophical application of this particular form of beta- reduction – 'by value' rather than 'by name’ – to a context containing anaphora is another contribution of this paper.
  • This paper solves, in a logically rigorous manner, a problem discussed in a 2004 paper by Stephen Neale. John loves his wife, and so does Peter. Hence John and Peter share a property. But which one? (1) Loving John’s wife: then John and Peter love the same woman. (2) Loving one's own wife: then, unless they are married to the same woman, John loves one woman and Peter loves another woman. Since %22John loves his wife%22 is ambiguous between attributing (1) or (2) to John, %22So does Peter%22 is also ambiguous between attributing (1) or (2) to Peter. With unrestricted beta-reduction, the lambda-term counterparts of the attributions of (1) to John and of (2) to John beta-reduce to the former. Which they should not. With suitably restricted beta-conversion, the two redexes do not reduce to the same contractum and can be reconstructed from their respective contracta. This paper details how to apply this restricted rule of beta-conversion to contexts containing anaphora such as his’ and 'so does'. The logical contribution of the paper is a generally valid form of beta-reduction 'by value'. The philosophical application of this particular form of beta- reduction – 'by value' rather than 'by name’ – to a context containing anaphora is another contribution of this paper. (en)
Title
  • Procedural isomorphism, analytic information, and beta-conversion by value
  • Procedural isomorphism, analytic information, and beta-conversion by value (en)
skos:prefLabel
  • Procedural isomorphism, analytic information, and beta-conversion by value
  • Procedural isomorphism, analytic information, and beta-conversion by value (en)
skos:notation
  • RIV/61989100:27240/13:86082064!RIV14-GA0-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP401/10/0792), S
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 99892
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/13:86082064
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Transparent Intensional Logic.; analytic information; Neale; procedural isomorphism; beta-conversion 'by name’ versus 'by value’; verb-phrase ellipsis: 'sloppy’ versus 'strict’; Anaphora (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [A832164E883B]
http://linked.open...i/riv/nazevZdroje
  • Logic journal of IGPL
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
  • 21
http://linked.open...iv/tvurceVysledku
  • Duží, Marie
  • Jespersen, Bjorn
http://linked.open...ain/vavai/riv/wos
  • 000316295100011
issn
  • 1367-0751
number of pages
http://bibframe.org/vocab/doi
  • 10.1093/jigpal/jzs044
http://localhost/t...ganizacniJednotka
  • 27240
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