Prove within the system of sentential logic that "anything follows from a contradiction, i.e., prove the following argument: 1. P& -P Premise /:. Z 7:18 AM
![Construct proof for the following argument within the system of sentential logic:
1. -Q 2 -R
Premise
2. -(P & Q)
Premise
3. -(-P &-R) Premise /:. -(P = R)
7:18 AM
Prove within the system of sentential logic that "anything follows from a contradiction", i.e., prove the following argument:
1. P& -P
Premise /:. Z
7:18 AM
Construct proof for the following argument within the system of sentential logic:
1. (A & B) > (C V D)
2. -(C V (B > X))
3. -[D =-(X & Y)]
Premise
Premise
Premise
4. -Aɔ -Z
Premise /:. -Z
7:18 AM
Construct proof for the following argument within the system of sentential logic:
1. -(-Dɔ -C) ɔ -B
Premise
2. -Bɔ A
Premise
3. (YV C) & (~C V-A)
Premise /:. DV (A V Y)
7:18 AM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd01c398d-3941-46a3-81c4-08c4d07bdcf5%2F5deb24c0-f748-453c-9705-b473f618340a%2Fz83anaa_processed.jpeg&w=3840&q=75)

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Construct proof for the following argument within the system of sentential logic:
1. (A & B) ⊃ (C V D) Premise
2. ~(C V (B ⊃ X)) Premise
3. ~[D ≡ ~(X & Y)] Premise
4. ~A ⊃ ~Z Premise /: . ~Z
Construct proof for the following argument within the system of sentential logic:
1. ~(~D ⊃ ~C) ⊃ ~B Premise
2. ~B ⊃ A Premise
3. (Y V C) & (~C V ~A) Premise /: . D V (A V Y)
Prove the following proposition to be a tautology by constructing a proof for the following theorem within the system of sentential logic:
~(P ≡ Q) ⊃ (P ≡ ~Q)
Construct proof for the following argument within the system of sentential logic:
1. ~Q ⊃ ~R Premise
2. ~(P & Q) Premise
3. ~(~P & ~R) Premise /:. ~(P ≡ R)
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