Catastrophe Theoretic Semantics

An elaboration and application of René Thom's theory

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ISBN 9789027225252 | EUR 68.00 | USD 102.00
 
e-Book
ISBN 9789027280602 | EUR 68.00 | USD 102.00
 
René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.
[Pragmatics & Beyond, III:5]  1982.  iv, 124 pp.
Publishing status: Available
Table of Contents
Introduction
3
1. Applied catastrophe theory: a short introduction
7
1.1. A sketch of the mathematical basis
7
1.2. Catastrophe conventions
9
1.3. The finite set of typical paths in the elementary unfoldings
10
1.4. An example: the standard cusp
12
2. Semantics from a dynamic perspective
19
2.1. Aspects of dynamic semiotics
19
2.2. The type of semantics aimed at by our model construction
22
2.3. Formal semantics on the basis of catastrophe theory: a comparison with logical semantics
24
2.4. Principles of interpretation
25
2.5. René Thom's list of semantic archetypes
29
3. The heart of catastrophe theoretic semantics: the set of semantic archetypes
35
3.1. The semantic archetypes derivable from the zero-unfolding
35
3.2. The semantic archetypes derivable from the fold
37
3.3. The semantic archetypes derivable from the cusp
42
3.4. The semantic archetypes derivable from the swallowtail
56
3.5. The semantic archetypes derivable from the butterfly
62
3.6. Archetypes derivable from unfoldings with codimension > 4 and corank 1
81
3.7. Semantic archetypes derivable from the compactified umbilics
85
4. Applications of catastrophe theoretic semantics
93
4.1. Dynamic inferences
93
4.2. Word semantics
97
4.3. Linguistic vagueness
99
4.4. Compositional processes
104
4.5. Application in neurolinguistics
104
5. Beyond catastrophe theoretic semantics
107
5.1. Beyond semantics: towards a dynamic theory of language
107
5.2. Beyond catastrophe theory
111
Footnotes
113
References
115
Index
123
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Subjects
BIC Subject: CF – Linguistics
BISAC Subject: LAN009000 – LANGUAGE ARTS & DISCIPLINES / Linguistics / General