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2. In the domain of all penguins, let D(x) be the predicate "x is dangerous." Translate the following quantified statements into simple, everyday English. (a) (Vx)D(x) (b) (Ex)D(x) (c) -(x)D(x) (d) (3x)-D(x)

2. In the domain of all penguins, let D(x) be the predicate "x is dangerous." Translate the following quantified statements into simple, everyday English. (a) (Vx)D(x) (b) (Ex)D(x) (c) -(x)D(x) (d) (3x)-D(x)

Advanced Engineering Mathematics
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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2. In the domain of all penguins, let D(x) be the predicate "x is dangerous." Translate the following quantified statements into simple, everyday English. (a) (Vx)D(x) (b) (Ex)D(x) (c) -(Ex)D(x) (d) (x)-D(x) 3. In the domain of all movies, let V(x) be the predicate "x is violent." Write the following statements in the symbols of predicate logic. (a) Some movies are violent. (b) Some movies are not violent. (c) No movies are violent. (d) All movies are violent. 4. Let the following predicates be given. The domain is all mammals. L(x)= "x is a lion." F(x)= "x is fuzzy."
Transcribed Image Text:2. In the domain of all penguins, let D(x) be the predicate "x is dangerous." Translate the following quantified statements into simple, everyday English. (a) (Vx)D(x) (b) (Ex)D(x) (c) -(Ex)D(x) (d) (x)-D(x) 3. In the domain of all movies, let V(x) be the predicate "x is violent." Write the following statements in the symbols of predicate logic. (a) Some movies are violent. (b) Some movies are not violent. (c) No movies are violent. (d) All movies are violent. 4. Let the following predicates be given. The domain is all mammals. L(x)= "x is a lion." F(x)= "x is fuzzy."
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