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Hand in answers to the following questions in class on Wednesday, October 9. Give either formal proofs or counter-example worlds for the following arguments. If an argument is TT con (which Qu. 5 is not), then you should do the formal proof wearing Boolean goggles, using A, B, C, D, (etc., as many as you need) in the order they first appear in the argument. 1. AvB -B v C AvC 3. AvB 5. 7. AvC AV (BAC) 2. -Ал-В (A v B) 4. Dodec(b) v Cube(b) Small(b) v Medium(b) (Small(b) A Cube(b)) Medium(b) A Dodec(b) л (This can be formally proved, but keep 6. the goggles off as it isn't TT con.) You will need =Elim. |-Small(c) v-Small(a) Small(a) ac Tet(c) v LeftOf(a, b) Cube(a) A b = c Dodec(b) v (Adjoins(a, b) ▲ BackOf(a, b)) SameCol(a, b) v SameShape(a, b) 8. Tet(c) v-Tet(c) SameRow(b, f) v SameRow(c, f) SameRow(c, f) FrontOf(b, f) (FrontOf(b, f) A SameRow(b, f)) Dodec(b)

Hand in answers to the following questions in class on Wednesday, October 9. Give either formal proofs or counter-example worlds for the following arguments. If an argument is TT con (which Qu. 5 is not), then you should do the formal proof wearing Boolean goggles, using A, B, C, D, (etc., as many as you need) in the order they first appear in the argument. 1. AvB -B v C AvC 3. AvB 5. 7. AvC AV (BAC) 2. -Ал-В (A v B) 4. Dodec(b) v Cube(b) Small(b) v Medium(b) (Small(b) A Cube(b)) Medium(b) A Dodec(b) л (This can be formally proved, but keep 6. the goggles off as it isn't TT con.) You will need =Elim. |-Small(c) v-Small(a) Small(a) ac Tet(c) v LeftOf(a, b) Cube(a) A b = c Dodec(b) v (Adjoins(a, b) ▲ BackOf(a, b)) SameCol(a, b) v SameShape(a, b) 8. Tet(c) v-Tet(c) SameRow(b, f) v SameRow(c, f) SameRow(c, f) FrontOf(b, f) (FrontOf(b, f) A SameRow(b, f)) Dodec(b)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do 1 and 2 if you can do it by hand would be lots better

Hand in answers to the following questions in class on Wednesday, October 9. Give either formal proofs or counter-example worlds for the following arguments. If an argument is TT con (which Qu. 5 is not), then you should do the formal proof wearing Boolean goggles, using A, B, C, D, (etc., as many as you need) in the order they first appear in the argument. 1. AvB -B v C AvC 3. AvB 5. 7. AvC AV (BAC) 2. -Ал-В (A v B) 4. Dodec(b) v Cube(b) Small(b) v Medium(b) (Small(b) A Cube(b)) Medium(b) A Dodec(b) л (This can be formally proved, but keep 6. the goggles off as it isn't TT con.) You will need =Elim. |-Small(c) v-Small(a) Small(a) ac Tet(c) v LeftOf(a, b) Cube(a) A b = c Dodec(b) v (Adjoins(a, b) ▲ BackOf(a, b)) SameCol(a, b) v SameShape(a, b) 8. Tet(c) v-Tet(c) SameRow(b, f) v SameRow(c, f) SameRow(c, f) FrontOf(b, f) (FrontOf(b, f) A SameRow(b, f)) Dodec(b)
Transcribed Image Text:Hand in answers to the following questions in class on Wednesday, October 9. Give either formal proofs or counter-example worlds for the following arguments. If an argument is TT con (which Qu. 5 is not), then you should do the formal proof wearing Boolean goggles, using A, B, C, D, (etc., as many as you need) in the order they first appear in the argument. 1. AvB -B v C AvC 3. AvB 5. 7. AvC AV (BAC) 2. -Ал-В (A v B) 4. Dodec(b) v Cube(b) Small(b) v Medium(b) (Small(b) A Cube(b)) Medium(b) A Dodec(b) л (This can be formally proved, but keep 6. the goggles off as it isn't TT con.) You will need =Elim. |-Small(c) v-Small(a) Small(a) ac Tet(c) v LeftOf(a, b) Cube(a) A b = c Dodec(b) v (Adjoins(a, b) ▲ BackOf(a, b)) SameCol(a, b) v SameShape(a, b) 8. Tet(c) v-Tet(c) SameRow(b, f) v SameRow(c, f) SameRow(c, f) FrontOf(b, f) (FrontOf(b, f) A SameRow(b, f)) Dodec(b)
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