Is the argument valid? Use rules of inference and laws of logic to prove or disprove...

Is the argument valid? Use rules of inference and laws of logic to prove or disprove (no Truth tables)

1. If John has talent and works very hard, then he will get a job. If he gets a job, then he’ll be happy. Hence if John is not happy, then he either not worked very hard or does not have talent.

2.For spring break Marie will travel to Cancun or Miami. If she goes to Cancun, she will not visit the Miami Zoo. If she does not visit the Miami Zoo she will visit the Cancun Zoo. She did not go to Miami. Therefore she visited the Cancun Zoo.

3. When interest rates go up, then car prices go down. Car prices did not go down. Therefore interest rates went up.

4. Mary plays tennis or Mary plays golf. Therefore, Mary plays golf.

Expert Solution

Colby Messinger answered 3 hours ago

Prove the validity using laws of propositional logic and rules of inference: ∀x(P(x) → (Q(x) ∧...

Prove the validity using laws of propositional logic and rules of inference: ∀x(P(x) → (Q(x) ∧ S(x))) ∃x(P(x) ∧ R(x)) − − − − − − − − − − − − − ∴ ∃x(R(x) ∧ S(x))

7. Prove that the folowing is a valid argument, explaining each rule of inference used to...

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Introduction to logic: Translate each argument using the letters provided and prove the argument valid using...

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Use the laws of propositional logic to prove that the following compound propositions are tautologies. ((?...

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Use the laws of propositional logic to prove that the following compound propositions are tautologies. ((?...

Use the laws of propositional logic to prove that the following compound propositions are tautologies. ((? → ?) ∧ (? → ?)) → (? → ?)

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Construct your own valid DEDUCTIVE arguments by applying the FIVE argument forms (rules) on the worksheet...

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Is the argument valid? Use rules of inference and laws of logic to prove or disprove...

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