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 Browse related items Request

    Details

    Subject(s)
    Author
    Series
    CSLI lecture notes ; no. 218. [More in this series]
    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.
    ISBN
    • 9781575868721 ((hardcover : alkaline paper))
    • 1575868725 ((hardcover : alkaline paper))
    • 9781575868479 ((paperback : alkaline paper))
    • 1575868474 ((paperback : alkaline paper))
    LCCN
    2016029764
    OCLC
    907186483
    Statement on language in description
    Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...
    Other views
    Staff view

    Supplementary Information