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Lecture 1. | Basic Concepts of Set Theory |
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Reading |
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Goals |
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Sets and Elements |
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Specifications of Sets |
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Identity and Cardinality |
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Subsets |
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Power Sets |
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Operations on Sets |
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Set-theoretic Equalities |
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Homework 1 |
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Lecture 2. | Relations and Functions |
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Lecture 3. | Properties of Relations |
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Lecture 4. | Algebra, Section 1 |
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Lecture 4.2. | Algebra (cont'd.), Section 2 |
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Lecture 5. | Logic, Section 1 - Statement Logic |
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Lecture 6. | Logic, Section 2 - Predicatie Logic |
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Lecture 7. | Logic, Section 3 / Algebra, Section 3 |
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Lecture 8. | Algebra, Section 4 |
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Lecture 9. | Logic and Algebra - Lindenbaum Algebra |
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Lecture 10. | Model Theory |
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Lecture 11. | Proof by Induction |
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Lecture 12. | More Algebra |
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Lecture 13. | Formal Phonology - Features and their structure |
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Lecture 14. | Infinities |
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Lecture 15. | Automata and Grammars, Section 1 |
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Lecture 15.2. | Automata and Grammars, Section 1 (cont'd.) |
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Lecture 16. | Natural Language Quantifiers as Finite State Automata |
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Lecture 17. | Automata and Grammars, Section 2 |
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