Part I Each of the following is a formal proof of validity for the indicated argument. State the justification for each line that is not a premise (for each line that is in bold type). A) 1. Tv (E → D) 2. T → C 3. (~T•~℃) → (D → G) 4. ~C 5. ~T 6. ED 7. ~T~C 8. DG 9. EG B) .. E → G C) 1. (~Tv R) (~T v S) 2. ~P~(P v Q) .. Q v [Pv (R. S 4. [~P~(P v Q)] • [~(P v Q) → ~P] 5. (P v Q)→ ~P 6. P→ (PvQ) 3. P 7. P→ (Q v P) 8. ~Tv (RS) 9. T→ (RS) 10. P v T
Part I Each of the following is a formal proof of validity for the indicated argument. State the justification for each line that is not a premise (for each line that is in bold type). A) 1. Tv (E → D) 2. T → C 3. (~T•~℃) → (D → G) 4. ~C 5. ~T 6. ED 7. ~T~C 8. DG 9. EG B) .. E → G C) 1. (~Tv R) (~T v S) 2. ~P~(P v Q) .. Q v [Pv (R. S 4. [~P~(P v Q)] • [~(P v Q) → ~P] 5. (P v Q)→ ~P 6. P→ (PvQ) 3. P 7. P→ (Q v P) 8. ~Tv (RS) 9. T→ (RS) 10. P v T
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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Question
![Part I
Each of the following is a formal proof of validity for the indicated argument. State the
justification for each line that is not a premise (for each line that is in bold type).
A)
1. Tv (E → D)
2. T → C
3. (~T~C) → (D → G)
4. ~C
5. T
6. E → D
7. ~T~C
8. D→ G
9. E → G
B)
1. S→ (~T→→ U)
2. U →~U
3. (S~T) → U
4. -Uv U
5. ~U
6. ~(ST)
.. E → G
:. ~SVT
1. (~Tv R) • (~Tv S)
2. ~P~(P v Q)
3. P
4. [~P~(P v Q)] • [~(P v Q) →~P]
5. (P v Q)→→~P
6. P→ (PvQ)
7. P→ (Q v P)
8. ~Tv (RS)
9. T (R.S)
10. PVT
.. Q v [P v (RS)]
11. (Q v P) v (R.S)
12. Q v [Pv (R•S)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda246aac-f956-49aa-927c-e7ddf22dd16f%2Fe518561d-0e3b-484a-a34a-cea0005e1893%2F9ddji9k_processed.png&w=3840&q=75)
Transcribed Image Text:Part I
Each of the following is a formal proof of validity for the indicated argument. State the
justification for each line that is not a premise (for each line that is in bold type).
A)
1. Tv (E → D)
2. T → C
3. (~T~C) → (D → G)
4. ~C
5. T
6. E → D
7. ~T~C
8. D→ G
9. E → G
B)
1. S→ (~T→→ U)
2. U →~U
3. (S~T) → U
4. -Uv U
5. ~U
6. ~(ST)
.. E → G
:. ~SVT
1. (~Tv R) • (~Tv S)
2. ~P~(P v Q)
3. P
4. [~P~(P v Q)] • [~(P v Q) →~P]
5. (P v Q)→→~P
6. P→ (PvQ)
7. P→ (Q v P)
8. ~Tv (RS)
9. T (R.S)
10. PVT
.. Q v [P v (RS)]
11. (Q v P) v (R.S)
12. Q v [Pv (R•S)]
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