Download e-book for iPad: Boolean Semantics for Natural Language by Edward L. Keenan, Leonard M. Faltz (auth.)

By Edward L. Keenan, Leonard M. Faltz (auth.)

ISBN-10: 9027718423

ISBN-13: 9789027718426

ISBN-10: 9400964048

ISBN-13: 9789400964044

In the spring of 1978, one of many authors of this booklet was once sitting in on a direction in common sense for linguists given by means of the opposite writer. In trying to current a few of Montague's insights in an effortless approach (hopefully steer clear of­ ing the notation which many locate tricky at first), the authors all started dis­ cussions aimed in the direction of the development of an easy model-theoretical semantic gear that may be utilized on to a small English-like language and used to demonstrate the tools of formal logical interpretation. In those discussions issues inspired themselves on us. First, our job can be simplified through the use of boolean algebras and boolean homomorphisms within the types; and moment, the boolean technique we have been constructing had even more frequent relevance to the logical constitution of English than we first inspiration. throughout the summer time and fall of 1978 we persisted paintings at the method, proving the extra basic theorems (including what we now have come to name the Justification Theorem) and outlining the way an intensional interpretation scheme might be constructed which made use of the boolean technique (which used to be initially strictly extensional). We awarded our findings in a monograph (Keenan and Faltz, 1978) which the UCLA Linguistics division kindly released as a part of their sequence known as Occa­ sional Papers in Linguistics; one of many authors additionally provided the procedure at a colloquium held on the iciness assembly of the Linguistic Society of the USA in December 1978.

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Additional info for Boolean Semantics for Natural Language

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34) a. The doctors examined the patient individually. b. The doctor examined the patients individually. c. The doctors examined the patient individually. Given these strong similarities, then, we expect that PI'S and P 2 's will be interpreted in semantically similar ways. And this is the case in our system. Extensionally, both are functions of a very similar sort, namely homomorphisms, with the same domain, TN. They differ only with regard to their range algebras. Consequently, we are able to formulate several of the processes mentioned above in a fully general way, that is, for Pn's in general, regardless of whether n has value 1 or value 2.

In the extensions of L we propose other categories will become non-empty in either 38 PART I: THE EXTENSIONAL LOGIC of two ways: one, we shall add new items to V and new lexical conditions (rules) assigning them to categories currently empty, and two, a few new types of rules (conditions) will be added allowing us to form derived expressions in Pn for all finite n, as well as N n for all finite n. (iv) The categories mentioned in clause (iv) of Definition 6 will be called boolean categories. Thus all categories of L are boolean except Nprop .

For example, lexically simple elements in both categories are traditionally called verbs; expressions in both categories commonly enough across languages exhibit agreement with their arguments (Pl's with their subjects, P2 's with their objects). e. Pl's like is certain, raise to subject, and P2 's like believe raise to object. e. it is the subject argument 26 BOOLEAN SEMANTICS: AN OVERVIEW of the PI want to leave which controls the reference of the infinitival phrase, whereas in persuade (John) to leave it is the object of the P2 which controls it.

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Boolean Semantics for Natural Language by Edward L. Keenan, Leonard M. Faltz (auth.)


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