
Catastrophe Theoretic Semantics
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- CATASTROPHE THEORETIC SEMANTICS An Elaboration and Application of René Thorn's Theory
- Editorial page
- Title page
- Dedication
- Copyrigh page
- Table of contents
- INTRODUCTION
- 1. APPLIED CATASTROPHE THEORY: A SHORT INTRODUCTION
- 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: the standard cusp
- 2. SEMANTICS FROM A DYNAMIC PERSPECTIVE
- 2.1. Aspects of dynamic semiotics
- 2.2. The type o f semantics aimed at by our model construction
- 2.3. Formal semantics on the basis of catastrophe theory: a comparison with logical semantics
- 2.4. Principles of interpretation
- 2.5. Rene Thorn's list of semantic archetypes
- 3. THE HEART OF CATASTROPHE THEORETIC SEMANTICS: THE SET OF SEMANTIC ARCHETYPES
- 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
- 3.3.1 The standard cusp (A+3)
- 3.3.2. The dual cusp (A-3)
- 3.3.3. Versal unfoldings of the standard cusp
- 3.3.4. Introducing higher archetypes: The archetype of bipolar differentiation
- 3.4 The semantic archetypes derivable from the swallowtail
- 3.5 The semantic archetypes derivable from the butterfly
- 3.5.1 Sketching the geometry of the standard butterfly (A+5)
- 3.5.2 Derivations on the basis of the perfect delay convention
- 3.5.3. Derivations on the basis of the Maxwell convention
- 3.5.4. Some semi-elementary archetypes derivable from the dual butterfly(A-5)
- 3.5.5. Summary of the archetypes derived from the butterfly
- (1) Elementary archetypes.
- (2) Semi-elementary archetypes
- (3) Higher archetypes
- 3.6 Archetypes derivable from unfoldings with codimension & 4 and corank 1
- 3.7 Semantic archetypes derivable from the compactified umbilics (D+4 D-4,D5)
- 4. APPLICATION 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: towards a dynamic theory of language
- 5.2. Beyond Catastrophe Theory
- FOOTNOTES
- REFERENCES
- INDEX
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