Construct direct proofs to show that the following symbolic arguments are valid. Commas mark the breaks between premises. 1. F(G-H), -F-J,-(GH) - J 2. P→Q, R-S, P v R, (Qv-S)-(-Tv-W). -T.. -W 3. (A v G)→K, K→(BF), A.B.. F 4. -C-(F-C), -C-F 5. -(CD), -C-S, -D-T.. S VT 6. (W-U)-X. -U-→-W 7. --TV-R, -(Sv -R), (T--S)→-Q, W→Q-W 8. (JL), (-J V-L)--M, -E v (M v-S). -(S-E) 9. (BVA)→C, -B→D, -D. C 10.-(0-N), (-0→S)-(-N-T). SV T
Construct direct proofs to show that the following symbolic arguments are valid. Commas mark the breaks between premises. 1. F(G-H), -F-J,-(GH) - J 2. P→Q, R-S, P v R, (Qv-S)-(-Tv-W). -T.. -W 3. (A v G)→K, K→(BF), A.B.. F 4. -C-(F-C), -C-F 5. -(CD), -C-S, -D-T.. S VT 6. (W-U)-X. -U-→-W 7. --TV-R, -(Sv -R), (T--S)→-Q, W→Q-W 8. (JL), (-J V-L)--M, -E v (M v-S). -(S-E) 9. (BVA)→C, -B→D, -D. C 10.-(0-N), (-0→S)-(-N-T). SV 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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Construct direct proofs to show that the following symbolic arguments are valid. Commas mark the
breaks between premises.
1. F→(GH), -F→J, -(GH) .. J
2.
P→Q, R-S, P v R, (Qv-S)-(-TV-W), T. W
3.
(A v G)→K, K-(B-F), A.B .. F
4.
-C-(F→C), -C. -F
5.
(C-D), -C-S, -D→T. SVT
6.
(W-U)-X.. -U-W
7. --TV-R, -(Sv -R), (T-S)→-Q, W→Q. -W
8.
(JL), (~J V-L)--M, -E v (M v-S)..-(S-E)
9. (BVA)-C, -B-D, -D.. C
L
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%
B I
10.-(ON), (-OS)-(-N→T). SVT
11. -M v N.. -N-→~M
5
U A
12. -BC, -B..C
13. (Z v-Y)-(Z v W), Z→~~U, ~Y-(W→U).. U
14. -U-B, S--B, -(U-S), Tv B.. T
15. AB, B-C.. -AVC
Use Conditional Proofs (CP) to show that each of the following symbolic arguments are valid. Commas
mark the breaks between premises
M
A
6
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