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5 - THE LAMBDA OPERATOR

Published online by Cambridge University Press:  05 June 2012

Ronnie Cann
Affiliation:
University of Edinburgh
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Summary

The passive

In discussing the translation from English into Ltype in Chapter 4, rules for generating and interpreting simple passives were omitted. Although it is possible to define the extension of a passive verb phrase like kicked by Jo as the characteristic function of the set of things that Jo kicks, it is not possible with the apparatus we currently have to link this function directly with the extension of the active verb kick, kicks, kicked. The appropriate relationship between the two voices is that, in the relation denoted by the passive, the entity denoted by the object of the preposition by corresponds to the entity denoted by the subject of the active and the entity denoted by the passive subject corresponds to that denoted by the object in the active. This correspondence was handled in Chapter 2 directly in the translation for the passive rule by switching around the individual constants translating the two noun phrases in the passive rule to yield an identical translation to that of the active. So, for example, Jo kicked Chester and Chester was kicked by Jo are both translated into Lp as kick' (jo', Chester'). Unfortunately, this simple expedient is no longer open to us because of the existence in G2 of a verb phrase constituent. This prevents subject and complement NPs from being ordered with respect to each other in a translation rule because they are no longer introduced by the same syntactic rule.

Type
Chapter
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Formal Semantics
An Introduction
, pp. 112 - 149
Publisher: Cambridge University Press
Print publication year: 1993

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  • THE LAMBDA OPERATOR
  • Ronnie Cann, University of Edinburgh
  • Book: Formal Semantics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139166317.006
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  • THE LAMBDA OPERATOR
  • Ronnie Cann, University of Edinburgh
  • Book: Formal Semantics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139166317.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • THE LAMBDA OPERATOR
  • Ronnie Cann, University of Edinburgh
  • Book: Formal Semantics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139166317.006
Available formats
×