By Pauline Jacobson

ISBN-10: 019967714X

ISBN-13: 9780199677146

This e-book offers an advent to compositional semantics and to the syntax/semantics interface. it's rooted in the culture of version theoretic semantics, and develops an specific fragment of either the syntax and semantics of a wealthy element of English.

Professor Jacobson adopts an immediate Compositionality process, wherein the syntax builds the expressions whereas the semantics concurrently assigns each one a model-theoretic interpretation. along this strategy, the writer additionally offers a competing view that uses an intermediate point, Logical shape. She develops parallel remedies of numerous phenomena from either issues of view with designated comparisons. The ebook starts off with uncomplicated and primary ideas and steadily builds a extra advanced fragment, together with analyses of extra complex subject matters reminiscent of concentration, unfavourable polarity, and a number of themes centering on pronouns and binding extra in general. routines are supplied all through, along open-ended questions for college kids to contemplate. The workouts are interspersed with the textual content to advertise self-discovery of the basics and their applications.

The publication presents a rigorous starting place in formal research and version theoretic semantics and is acceptable for complicated undergraduate and graduate scholars in linguistics, philosophy of language, and comparable fields.

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**Additional resources for Compositional Semantics: An Introduction to the Syntax/Semantics Interface**

**Example text**

So far, we have two reasons that it is oversimpliﬁed to say that the meaning of a sentence is true or false: (a) even once we do determine the truth value of a sentence we surely don’t want to call that “meaning,” and (b) often the truth value can’t be determined until we know the context of utterance. Two further worries have to do with the fact that (c) there are vague sentences where some have the intuition that the truth value is something in between 1 and 0, and (d) some sentences (even once we ﬁx the context of utterance) seem to be neither true nor false (nor anything in between).

They have a null intersection) or they are the same. Thus, take any c which is in both Sa and Sb. By deﬁnition, this means that (c,a) is in R and (c,b) is in R. By the fact that R is transitive and symmetric, it follows that (a,b) and (b,a) are in R (the reader can work through the necessary steps). But then, for all x such that (x,a) is in R, (x,b) is also in R. To show this note again that R is transitive. If (x,a) is in R and (a,b) is in R then (x,b) is also in R. Hence given the initial premise that there is a non-empty intersection between Sa and Sb, it follows that everything in Sa is in Sb.

Sets themselves can have sets as members, and so one can talk about the set of all subsets of a set A. This is called the power set of A, written as P (A). For example, given the set C above, P (A) = {, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}. 3. If a set A has n members, then the number of subsets of A is 2n. Try to see why this is true. Hint: for every member x of some set A, then for each subset B of A, x is either in B or is not in B. 4. How many members does the following set have: {}?

### Compositional Semantics: An Introduction to the Syntax/Semantics Interface by Pauline Jacobson

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