Methods of representing sentences containing mass terms (e.g. "gold") and amount terms (e.g. "three gallons") within the predicate calculus are given, and the semantics of the resulting sentences is discussed. the appendix sketches a way to systematically translate english sentences into the logical notation, exploiting some results of transformational grammar.

McCawley supplements his earlier book—which covers such topics as presuppositional logic, the logic of mass terms and nonstandard quantifiers, and fuzzy ...

Chomsky proposes a reformulation of the theory of transformational generative grammar that takes recent developments in the descriptive analysis of particular ...

Noam Chomsky's book on syntactic structures is a serious attempts on the part of a linguist to construct within the tradition of scientific theory-construction ...

Six experiments explored the hypothesis that the members of categories which are considered most prototypical are those with most attributes in common with other members of the category and least attributes in common with other categories. In probabilistic terms, the hypothesis is that prototypicality is a function of the total cue validity of the attributes of items. In Experiments 1 and 3, subjects listed attributes for members of semantic categories which had been previously rated for degree of prototypicality. High positive (...) correlations were obtained between those ratings and the extent of distribution of an item's attributes among the other items of the category. In Experiments 2 and 4, subjects listed superordinates of category members and listed attributes of members of contrasting categories. Negative correlations were obtained between prototypicality and superordinates other than the category in question and between prototypicality and an item's possession of attributes possessed by members of contrasting categories. Experiments 5 and 6 used artificial categories and showed that family resemblance within categories and lack of overlap of elements with contrasting categories were correlated with ease of learning, reaction time in identifying an item after learning, and rating of prototypicality of an item. It is argued that family resemblance offers an alternative to criterial features in defining categories. (shrink)

McCawley supplements his earlier book—which covers such topics as presuppositional logic, the logic of mass terms and nonstandard quantifiers, and fuzzy logic—with new material on the logic of conditional sentences, linguistic applications of type theory, Anil Gupta's work on principles of identity, and the generalized quantifier approach to the logical properties of determiners.

"Matter" may be defined, according to the Oxford English Dictionary, as "The substance, or the substances collectively, out of which a physical object is made or of which it consists". And while the O.E.D. is not the ultimate authority on words, nor is it, I believe, far wrong in this particular case. The definition is, as I shall argue in this paper, in substantial harmony with a tradition of some antiquity, according to which material objects do not constitute a somehow (...) 'fundamental category' for ontology; and it is in conflict with a more contemporary view which maintains precisely that they do. (shrink)