Day 4 Quiz: Deductive Reasoning and Logical Rules

This quiz has 10 questions, total score 100 points

Each question is worth 10 points, no penalty for wrong answers

For multiple choice questions, please select the most appropriate answer

1. The characteristic of Deductive Reasoning is:

  • A. From specific to general
  • B. From general to specific
  • C. Lower certainty of conclusion
  • D. Adding new information

2. In a Syllogism, the "middle term" refers to:

  • A. The term that serves as the predicate in the conclusion
  • B. The term that serves as the subject in the conclusion
  • C. The term that appears in both premises but not in the conclusion
  • D. The term that appears in the conclusion but not in the premises

3. In logical symbols, "∀" represents:

  • A. Universal quantifier, "for all..."
  • B. Existential quantifier, "there exists..."
  • C. Conjunction, "and"
  • D. Disjunction, "or"

4. In logical symbols, "∃" represents:

  • A. Universal quantifier, "for all..."
  • B. Existential quantifier, "there exists..."
  • C. Conjunction, "and"
  • D. Disjunction, "or"

5. The "Modus Ponens" rule is:

  • A. If p → q is true, and p is true, then q is true
  • B. If p → q is true, and q is false, then p is false
  • C. If p → q is true, and q → r is true, then p → r is true
  • D. If p ∨ q is true, and ¬p is true, then q is true

6. The "Modus Tollens" rule is:

  • A. If p → q is true, and p is true, then q is true
  • B. If p → q is true, and q is false, then p is false
  • C. If p → q is true, and q → r is true, then p → r is true
  • D. If p ∨ q is true, and ¬p is true, then q is true

7. The "Disjunctive Syllogism" rule is:

  • A. If p → q is true, and p is true, then q is true
  • B. If p → q is true, and q is false, then p is false
  • C. If p → q is true, and q → r is true, then p → r is true
  • D. If p ∨ q is true, and ¬p is true, then q is true

8. The "Hypothetical Syllogism" rule is:

  • A. If p → q is true, and p is true, then q is true
  • B. If p → q is true, and q is false, then p is false
  • C. If p → q is true, and q → r is true, then p → r is true
  • D. If p ∨ q is true, and ¬p is true, then q is true

9. In the following syllogism, which is the middle term? "All humans are mortal. Socrates is human. Therefore, Socrates is mortal."

  • A. Human
  • B. Socrates
  • C. Mortal
  • D. All

10. Venn diagrams are primarily used for:

  • A. Representing relationships between propositions
  • B. Proving the validity of arguments
  • C. Representing set relationships and analyzing the validity of syllogisms
  • D. Representing the meaning of logical symbols