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Mathematical structures in language / Edward L. Keenan & Lawrence S. Moss.
Author
Keenan, Edward L. (Edward Louis), 1937-
[Browse]
Format
Book
Language
English
Published/Created
Stanford, California : CSLI Publications, [2016]
©2016
Description
xi, 473 pages : illustrations ; 23 cm.
Availability
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Firestone Library - Stacks
P138 .K44 2016
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Details
Subject(s)
Mathematical linguistics
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Logic, Symbolic and mathematical
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Author
Moss, Lawrence Stuart, 1959-
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Series
CSLI lecture notes ; no. 218.
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Bibliographic references
Includes bibliographical references (pages 437-456) and indexes.
Contents
Machine generated contents note: 1.1. Roots of Infinity in Natural Language
1.2. Boolean Compounding
1.3. References
2.1. More about Sets
2.2. Sequences
2.3. Functions and Sequences
2.4. Arbitrary Unions and Intersections
2.5. Definitions by Closure (Recursion)
2.6. Bijections and the Sizes of Cross Products
2.7. Linguistic Function
2.8. Closing Reflection on Functions
2.9. Suggestions for Further Study
2.10. Addendum 1: Russell's Paradox
2.11. Addendum 2: An Equivalent, Useful, Definition of Closure
2.12. Addendum 3: Some Initial Hints on Setting up Proofs
3.1. Abstract Segmental Phonology
3.2. Enriching Feature Sets
3.3. Some Phonological Generalizations
3.4. Mathematical Structure of Feature Sets
3.5. Significant Sound Segments
4.1. Trees
4.2. C-Command
4.3. Sameness of Structure: Isomorphism
4.4. Labeled Trees
4.5. Ordered Trees
4.6. Concluding Formal Exercises on Relations and Ordered Trees
5.1. Beginning Grammar
5.2. ENG- Towards a Grammar of English
5.3. Word Order Variation in Other Languages
5.4. Three New Types of DPs
6.1. Introduction
6.2. CFGs: A Formal Definition
6.3. How Well Do CFGs Model Natural Languages?
7.1. Finite-State Automata
7.2. Regular Expressions and Languages
7.3. Simple Grammars
7.4. Closing the Circle
7.5. anbn is not a Regular Language
7.6. Argument Why English is Not Regular
7.7. Two Final Observations on Finite State Automata
8.1. Compositionality and Natural Language Semantics
8.2. Sentential Logic
8.3. Interpreting a Fragment of English
9.1. Coordination: Syntax
9.2. Coordination: Semantics
9.3. Negation and Additional Properties of Natural Language Lattices
9.4. Properties versus Sets: Lattice Isomorphisms
9.5. Theorems on Boolean Lattices
9.6. Some (Possibly) Unexpected Boolean Lattices
9.7. Concluding Note on Point of View
9.8. Further Reading
9.9. Appendix: Tarski-Knaster and Schroder-Bernstein
10.1. Translation Semantics
10.2. Some General Linguistic Properties of First Order Logic (FOL)
10.3. Extending the Class of VBO's: The Lambda Operator
11.1. Negative Polarity Items
11.2. Monotonicity
11.3. Semantic Generalizations
11.4. Historical Background
12.1. Quantifier Types
12.2. Generalizations Concerning Det Denotations
12.3. k-Place Dets
12.4. Crossing the Frege Boundary
12.5. Classic Syntactic Problem
12.6. Adverbial Quantification
12.7. Concluding Remarks
12.8. Historical Background
12.9. Appendix: Some Types of English Determiners
13.1. Model Grammar and Some Basic Theorems
13.2. Semantic Definition of Anaphor
13.3. Model of Korean
13.4. Toba Batak
13.5. Some Mathematical Properties of Grammars and their Invariants
13.6. Invariants of Type 0
13.7. Invariants of Type (1)
13.8. Invariants of Type (2) and Higher
13.9. Structure Preserving Operations on Grammars
Greek Alphabet.
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ISBN
9781575868721 ((hardcover : alkaline paper))
1575868725 ((hardcover : alkaline paper))
9781575868479 ((paperback : alkaline paper))
1575868474 ((paperback : alkaline paper))
LCCN
2016029764
OCLC
907186483
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Mathematical structures in language / Edward L. Keenan & Lawrence S. Moss.
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