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
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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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