Mid Exam Freshman logic Debrebirhan university and Addis Ababa

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Here are some logic exam questions, ranging in difficulty, covering various aspects of logic:

Basic Logic

1. Identify the premises and conclusion in the following argument:
"All dogs are mammals. My pet is a dog. Therefore, my pet is a mammal."

2. Is the following argument valid? Why or why not?
"If it is raining, then the ground is wet. The ground is wet. Therefore, it is raining."

3. What is the difference between a valid argument and a sound argument?

4. Explain the concept of a logical fallacy. Give an example of a common fallacy.

Propositional Logic

1. Translate the following sentence into a propositional logic formula:
"If it is raining, then the streets are wet, and if the streets are wet, then the cars are dirty."

2. Construct a truth table for the following propositional logic formula:
"(P ∧ Q) → (P ∨ R)"

3. Use the rules of inference to prove the following argument is valid:
"P → Q, Q → R, P. Therefore, R."

Predicate Logic

1. Translate the following sentence into a predicate logic formula:
"Every student in this class has a laptop."

2. What is the difference between a universal quantifier (∀) and an existential quantifier (∃)?

3. Prove the validity of the following argument using predicate logic:
"∀x (P(x) → Q(x)), ∃x P(x). Therefore, ∃x Q(x)."

Critical Thinking

1. Identify and explain the logical fallacy present in the following argument:
"My friend said that the new movie was terrible, so it must be a bad movie."

2. Explain the importance of critical thinking in evaluating arguments and information.

3. Analyze a current event or social issue from a logical perspective. Identify the key premises and conclusions involved in the debate surrounding this issue.

Bonus

1. Write a short essay discussing the role of logic in human reasoning and decision-making.

Remember: These are just examples, and the specific content and difficulty of your logic exam will depend on your course and instructor.

Good luck with your exam!