Agenda 2/3/26
- Review Ch3 - Tables, pp.101-130
- Determining T value of complex wffs
- Truth-table method
- Truth-table analysis and semantic definitions
- Practice: Consistency
- Practice: Contingency, Tautology, Contradiction
- Practice: Equivalence
- Practice: Semantic entailment
- Practice: "If God exists, then it is not the case that there is evil. There is evil. Therefore, God does not exist."
- Limitations of the table method
- Review Ch4 - Trees, pp.131-170
- Tree Terminology
- Decomposition Rules
- Truth-tree analysis
- Practice: Consistency
- Practice: Contingency, Tautology, Contradiction
- Practice: Equivalence
- Practice: Semantic entailment
- Practice: "If (God is all-powerful and God is all-knowing and God is all-good), then it is not the case that there is evil. There is evil. Therefore, it is not the case that (God is all-powerful and all-knowing and all-good)."
- Practice: "If (God is all-powerful and God is all-knowing and God is all-good), then it is not the case that there is evil. God is all-powerful and God is all-good. Therefore, it is not the case that there is evil."
- Advantages of trees
- Pedagogical concern: Should you teach trees?
Next Time
Next class we will look at PL proofs.
- Quizzes (module 3 and 4)
- Read ch.5
- Complete module 5 quizzes