Overview

Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica­ tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test.

Full Product Details

Author:   Fred Landman
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1991
Volume:   45
Dimensions:   Width: 15.20cm , Height: 2.00cm , Length: 22.90cm
Weight:   1.200kg
ISBN:  

9780792312406

ISBN 10:   0792312406
Pages:   371
Publication Date:   31 October 1991
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

One: Logic and Set Theory.- 1.1. First Order Logic.- 1.2. Second Order Logic.- 1.3. First Order Theories.- 1.4. Zermelo-Fraenkel Set Theory.- Two: Partial Orders.- 2.1. Universal Algebra.- 2.2. Partial Orders and Equivalence Relations.- 2.3. Chains and Linear Orders.- Three: Semantics with Partial Orders.- 3.1. Instant Tense Logic.- 3.2. Algebraic Semantics, Functional Completeness and Expressibility.- 3.3. Some Linguistic Considerations Concerning Instants.- 3.4. Information Structures.- 3.5. Partial Information and Vagueness.- Four: Constructions with Partial Orders.- 4.1. Period Structures.- 4.2. Event Structures.- Five: Intervals, Events and Change.- 5.1. Interval Semantics.- 5.2. The Logic of Change in Interval Semantics.- 5.3. The Moment of Change.- 5.4. Supervaluations.- 5.5. Kamp’s Logic of Change.- Six: Lattices.- 6.1. Basic Concepts.- 6.2. Universal Algebra.- 6.3. Filters and Ideals.- Seven: Semantics with Lattices.- 7.1. Boolean Types.- 7.2. Plurals.- 7.3. Mass Nouns.- Answers To Exercises.- References.

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