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Mathematical Methods in Linguistics (Studies in Linguistics and Philosophy) 1993 edition by Partee, Barbara, ter Meulen, A. G., Wall, Robert (1990) Paperback

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Preface. Part A. Set Theory. 1. Basic Concepts of Set Theory. 2. Relations and Functions. 3. Properties of Relations. 4. Infinities. Appendix A1. Part B. Logic and Formal Systems. 5. Basic Concepts of Logic. 6.Statement Logic. 7. Predicate Logic. 8. Formal Systems, Axiomatization, and Model Theory. Appendix B1. Appendix BII. Part C. Algebra. 9. Basic Concepts of Algebra. 10. Operational Structures. 11. Lattices. 12. Boolean and Heyting Algebras. Part D. English as a Formal Language. 13. Basic Concepts of Formal Languages. 14. Generalized Quantifiers. 15. Intensionality. Part E. Languages, Grammars, and Automata. 16. Basic Concepts of Languages, Grammars, and Automata. 17. Finite Automata, Regular Languages and Type 3 Grammars. 18. Pushdown Automata, Context-Free Grammars and Languages. 19. Turing Machines, Recursively Enumberable Languages, and Type 0 Grammars. 20. Linear Bounded Automata, Context-Sensitive Languages and Type 1 Grammars. 21. Languages Between Context-Free and Context-Sensitive. 22. Transformational Grammars. Appendix EI. Appendix EII. Review Problems. Index.

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First published April 30, 1990

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Barbara H. Partee

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18 reviews5 followers
June 23, 2012
When I ended a four-year relationship with a woman, I sat in my office and did every problem in the book through about Chapter 10. Cheaper than therapy.
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October 11, 2021
Not exactly a cracking good read, but an approachable and clear guide to the use of set theory in linguistics.
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