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Catastrophe Theoretic Semantics
An elaboration and application of René Thom's theory
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Table of contents:- Introduction- 1. Applied catastrophe theory- 1.1. A sketch of the mathematical basis- 1.2. Catastrophe conventions- 1.3. The finite set of typical paths in the elementary unfoldings- 1.4. An example- 2. Semantics from a dynamic perspective- 2.1. Aspects of dynamic semiotics- 2.2. The type of semantics aimed at by our model construction- 2.3. Formal semantics on the basis of catastrophe theory- 2.4. Principles of interpretation- 2.5. René Thom's list of semantic archetypes- 3. The heart of catastrophe theoretic semantics- 3.1. The semantic archetypes derivable from the zero...
Table of contents:
- Introduction
- 1. Applied catastrophe theory
- 1.1. A sketch of the mathematical basis
- 1.2. Catastrophe conventions
- 1.3. The finite set of typical paths in the elementary unfoldings
- 1.4. An example
- 2. Semantics from a dynamic perspective
- 2.1. Aspects of dynamic semiotics
- 2.2. The type of semantics aimed at by our model construction
- 2.3. Formal semantics on the basis of catastrophe theory
- 2.4. Principles of interpretation
- 2.5. René Thom's list of semantic archetypes
- 3. The heart of catastrophe theoretic semantics
- 3.1. The semantic archetypes derivable from the zero-unfolding
- 3.2. The semantic archetypes derivable from the fold
- 3.3. The semantic archetypes derivable from the cusp
- 3.4. The semantic archetypes derivable from the swallowtail
- 3.5. The semantic archetypes derivable from the butterfly
- 3.6. Archetypes derivable from unfoldings with codimension > 4 and corank 1
- 3.7. Semantic archetypes derivable from the compactified umbilics
- 4. Applications of catastrophe theoretic semantics
- 4.1. Dynamic inferences
- 4.2. Word semantics
- 4.3. Linguistic vagueness
- 4.4. Compositional processes
- 4.5. Application in neurolinguistics
- 5. Beyond catastrophe theoretic semantics
- 5.1. Beyond semantics
- 5.2. Beyond catastrophe theory
- Footnotes
- References
- Index
- Introduction
- 1. Applied catastrophe theory
- 1.1. A sketch of the mathematical basis
- 1.2. Catastrophe conventions
- 1.3. The finite set of typical paths in the elementary unfoldings
- 1.4. An example
- 2. Semantics from a dynamic perspective
- 2.1. Aspects of dynamic semiotics
- 2.2. The type of semantics aimed at by our model construction
- 2.3. Formal semantics on the basis of catastrophe theory
- 2.4. Principles of interpretation
- 2.5. René Thom's list of semantic archetypes
- 3. The heart of catastrophe theoretic semantics
- 3.1. The semantic archetypes derivable from the zero-unfolding
- 3.2. The semantic archetypes derivable from the fold
- 3.3. The semantic archetypes derivable from the cusp
- 3.4. The semantic archetypes derivable from the swallowtail
- 3.5. The semantic archetypes derivable from the butterfly
- 3.6. Archetypes derivable from unfoldings with codimension > 4 and corank 1
- 3.7. Semantic archetypes derivable from the compactified umbilics
- 4. Applications of catastrophe theoretic semantics
- 4.1. Dynamic inferences
- 4.2. Word semantics
- 4.3. Linguistic vagueness
- 4.4. Compositional processes
- 4.5. Application in neurolinguistics
- 5. Beyond catastrophe theoretic semantics
- 5.1. Beyond semantics
- 5.2. Beyond catastrophe theory
- Footnotes
- References
- Index