Aim: How can we review logic proofs for the upcoming regents exam? Homework- Logic proof questions...
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Transcript of Aim: How can we review logic proofs for the upcoming regents exam? Homework- Logic proof questions...
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
1. Law of Contrapositive- P Q -Q -P
2. Law of Contrapositive Inference- PQ -Q
-P3. Law of Detachment- PQ
P Q
Laws of Logic (Continued)
4. Law of Disjunctive Inference- P∨Q P∨Q -P -Q
Q P5. Demorgan’s Law -(P∧Q)=(-P) ∨(-Q)
-(P∨Q)=(-P) ∧ (-Q)6. Chain Rule- PQ QR PR
Practice Proof
1. AB Statement Reason-B-A
Practice Questions (You can work in groups)
1. DE 3. PS EF P
D -S∨PF P
2. Y∨Z 4. HI -Z IJ
W-Y Jk -W HK
Practice Questions (Continued)5. M∨N 7. –A-B -M -A L-N CB
-L -C6. UV 8. ST
U∨T TU -V UV
T VW WX
XY-Y -S
Homework1. AB Statement Reason -A-C
-B-C
2. RS Statement ReasonST
-TR∨U
U