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Essay by akira watanabae • March 3, 2016 • Exam • 892 Words (4 Pages) • 1,523 Views
Phil & 120
Practice Exam 4
Section I: Translate into Predicate Logic. Use the letters provided.
(1) Mark is either a philosopher or a lawyer. (P, L)
(2) All things are good. (G)
(3) Every Vulcan is logical. (V, L)
(4) Some politicians are not corrupt. (P, C)
(5) Some dogs are pets. (D, P)
Section II: Predicate Logic Proof Construction. Show all your work.
6. Find: (x)(Tx ⊃ Wx) 9. Find: (∃y)Cy
1. (x)(Tx ⊃ Mx) 1. (x)[(Ax v Bx) ⊃ Cx]
2. (x)(Mx ⊃ Wx) 2. (∃y)(Ay • Dy)
7. Find: Bz • Bv 10. Find: (x)Bx
1. (x)(Ax ⊃ Bx) 1. (x)(Ax ∙ Bx) v (x)(Cx ∙ Dx)
2. Az • Bv 2. ~(x)Dx
8. Find: (∃x)Bx 11. Find: (x)Cx ⊃ (∃x)~Ax
1. (x)[Ax ⊃ (Bx v Cx) 1. (x)Ax ⊃ (∃x)~Bx
2. (∃x)(Ax • ~Cx) 2. ~(x)Bx ⊃ (∃x)~Cx
12. Find: (x)Cx
1. (∃x)~Ax ⊃ (x)~Bx
2. (∃x)~Ax ⊃ (∃x)Bx 3. (x)(Ax ⊃ Cx)
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