(∃x) (Px • Qx) ⊃ [(∃x) Px • (∃x) Qx]
-Consider assuming '(∃x) (Px • Qx) ' for a conditional proof of the above logical truth. Which
Of the following propositions is a legitimate second step in that proof?
A) (Px • Qx) ⊃ [(∃x) Px • (∃x) Qx]
B) Px • Qx
C) (∃x) Px
D) Pb • Qb
E) (∃x) Qx
Correct Answer:
Verified
Q122: 1. (∀x)[Ax ⊃ (Bx ⊃ Cx)]
2. ∼(∀x)(Bx
Q123: 1. (∀x)[(Px Q124: 1. (∀x)[(Px Q125: 1. (∃x)Qx ⊃ (∀x)(Rx ⊃ Sx) Q126: 1. (∃x)Qx ⊃ (∀x)(Rx ⊃ Sx) Q128: (∃x)(Px • Qx) ⊃ [(∃x)Px • (∃x)Qx] Q129: ∼(∃x)(Px • Qx) ≡ (∀x)(Px ⊃ ∼Qx) Q130: ∼(∃x)(Px • Qx) ≡ (∀x)(Px ⊃ Q131: Things are pleasant if, and only if, Q132: Things are pleasant if, and only if,
2. (∀x)∼Qx
2. (∀x)∼Qx
-Which
-Consider
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