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Aim: How can we review logic proofs for the upcoming regents exam?

Aim: How can we review logic proofs for the upcoming regents exam?. Homework- Logic proof questions (2) Do Now- Name three reasons used when solving a logic proof. Laws of Logic. Law of Contrapositive- P Q -Q  -P Law of Contrapositive Inference- P  Q -Q

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Aim: How can we review logic proofs for the upcoming regents exam?

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  1. Aim: How can we review logic proofs for the upcoming regents exam? Homework- Logic proof questions (2) Do Now- Name three reasons used when solving a logic proof

  2. Laws of Logic • Law of Contrapositive- P Q -Q  -P • Law of Contrapositive Inference- PQ -Q -P • Law of Detachment- PQ P Q  

  3. Laws of Logic (Continued) • Law of Disjunctive Inference- P∨Q P∨Q -P -Q Q P • Demorgan’s Law -(P∧Q)=(-P) ∨(-Q) -(P∨Q)=(-P) ∧ (-Q) 6. Chain Rule- PQ QR PR

  4. Practice Proof 1. AB StatementReason -B -A

  5. Practice Questions (You can work in groups) • DE 3. PS EF P D -S∨P F P • Y∨Z 4. HI -Z IJ W-YJk -W HK

  6. Practice Questions (Continued) 5. M∨N 7. –A-B -M -A L-NCB -L -C 6. UV 8. ST U∨T TU -V UV T VW WX XY -Y -S

  7. Homework • AB StatementReason -A-C -B -C • RS StatementReason ST -T R∨U U

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