Formal Philosophy: Selected Papers by Richard Montague

By Richard Montague

No markings. Binding is free yet absolutely intact. Edges foxed and browned. past owner's signature in ink. Very fresh, crisp, and tight replica. Covers express a few staining. comprises index. no longer Ex-Library. All books provided from DSB are stocked at our shop in Fayetteville, AR. shop on delivery via ordering a number of titles. 369pp. Softcover excellent dimension: five 0.5" x eight 0.5" English textual content

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Montague requires that all intensions be senses, that they have type for some type T. Given this requirement the notions of intension and extension are interdefinable; in fact, Ext^C) = N(i), where N = Int^(C), and where Ext^C) has type t, Int#(Q is that function JV from I to the set of possible denotations of & of type x such that for all iel, N(i) = Ext^^C). This interdefinability is a great advantage as regards theoretical economy. It means that intensions can be introduced into semantics along natural lines that require no drastic revision of extensional theories.

45 The sentence is italicized because I believe that failure to appreciate this point, and to distinguish lexicography from semantic theory, is a persistent and harmful source of misunderstanding in matters of semantic methodology. The distinction is perhaps the most significant for linguists of the strategies of logical semantics. INTRODUCTION 49 would have to be counted as "terminology"—after all, there are words in English such as 'meter' and 'yard'. At any rate, lexicog­ raphy will have to borrow concepts from all areas of knowledge and practice: astronomy, jurisprudence, cuisine, automotives, pigeon breeding, and so forth.

In tense logic, in place of systems <£,/> we have systems <<£, J, < >,/> consisting of an interpretation structure <£, T, < > and an interpretation assignment/. Here, as before, £ is a nonempty set, the set of entities. / is another nonempty set, linearly ordered by the relation < . (In other words, for all /,/' el9i < i' or f < i or/ = i')I represents the set of moments of time and < the relation of being later than. The insight to be exploited in developing the model theory of 9l4 is that the formulas of this language are to be treated as taking on different truth values at different moments of time, just as the English sentence 'It is Tuesday' is sometimes true and sometimes false.

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