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Solve for t using predicate logic. 1. p → ¬q (premise) 2. p ∨ u (premise) 3. q (premise) 4. ((r ∧ t) ∨ p) ∨ ¬u (premise) Also need to prove Dogs bark at cats. Lions are not dogs. Ramsey is a lion. Therefore, Ramsey does not bark at cats. Predicates: B(x)=”x barks at cats, D(x)=x is a dog”, L(x)=” x is a lion”. The domain of discourse is all animals. Which I am pretty sure is a fallacy of denying the hypothesis but don’t know how to put the logic down for it. Please help me understand this so I may practice more problems to better my knowledge.

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Solve for t using predicate logic.1. p → ¬q (premise)2. p ∨ u (premise) 3. q (premise)

4. ((r ∧ t) ∨ p) ∨ ¬u (premise)

Also need to prove

Dogs bark at cats. Lions are not dogs. Ramsey is a lion. Therefore, Ramsey does not bark at cats.

Predicates: B(x)=”x barks at cats, D(x)=x is a dog”, L(x)=” x is a lion”. The domain of discourse is all animals.

Which I am pretty sure is a fallacy of denying the hypothesis but don’t know how to put the logic down for it. Please help me understand this so I may practice more problems to better my knowledge.

 
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