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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Please do 1 and 2 if you can do it by hand would be lots better
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)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
