Saylor Academy PHIL102- Introduction to Critical Thinking and
Logic EXAM QUESTIONS AND CORRECT VERIFIED SOLUTIONS
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Saylor Academy PHIL102 Comprehensive Exam Guide
The Saylor Academy PHIL102: Introduction to Critical Thinking and Logic
Key Topics Covered
Based on the course content, the exam covers the following major areas:
1. Arguments & Logic Fundamentals
Arguments vs. Disagreements: In logic, an argument is a set of statements where
premises support a conclusion, not a heated dispute.
Deductive vs. Inductive Arguments: Deductive arguments aim for certainty; inductive
arguments aim for probability.
Validity & Soundness: An argument is valid if the conclusion follows from the premises;
it is sound if valid AND all premises are true. All sound arguments are valid.
False Premises, True Conclusions: A valid argument with false premises can still have a
true conclusion.
2. Propositional Logic & Proofs
3. Truth Tables & Logical Relationships
Tautology: A statement that is always true.
Contradiction: A statement that is always false.
Contingent: A statement that is neither always true nor always false.
4. Rhetorical Devices & Argument Construction
Missing Premises: Identifying and supplying unstated premises. The Principle of
Charity suggests giving the arguer the benefit of the doubt when interpreting their
argument.
Assuring, Guarding, Discounting: These are rhetorical devices used to strengthen or
qualify an argument's impact.
5. Scientific Reasoning
Mill's Methods: The course covers the canons of inductive reasoning used in scientific
inquiry.
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Question 1: Validity and Soundness
All invalid arguments are unsound.
A) True
B) False
Correct Answer: A
Rationale: For an argument to be sound, it must be both valid and have all true premises. An
invalid argument fails the condition of being valid, so it is automatically unsound. This is a
fundamental definitional relationship in logic.
Question 2: Identifying Logical Form
If the sun is larger than the moon, then the moon orbits the sun. The sun is larger than the
moon. Therefore, the moon orbits the sun.
What is the logical form of this argument?
A) Modus Tollens
B) Hypothetical Syllogism
C) Modus Ponens
D) Disjunctive Syllogism
Correct Answer: C
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Rationale: This argument follows the form: If P, then Q. P. Therefore, Q. This is the classic
structure of Modus Ponens.
Question 3: Evaluating Statements
If all the premises of a valid argument are false, then the conclusion must also be false.
A) True
B) False
Correct Answer: B
Rationale: This is false. A valid argument only guarantees that the conclusion must be true if the
premises are true. It does not require the conclusion to be false if the premises are false.
Example: "The moon is a star, and all stars orbit Earth; therefore, the moon orbits Earth" is valid
despite false premises and a true conclusion.
Question 4: Invalid but True Conclusion
An invalid argument can have a true conclusion.
A) True
B) False
Correct Answer: A
Rationale: Validity is about the relationship between premises and conclusion, not the truth of
the conclusion itself. An invalid argument can absolutely have a true conclusion.
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Question 5: Tautology vs. Contradiction
Which of the following is a tautology?
A) P & ~P
B) P v ~P
C) P ⊃ ~P
D) P ≡ ~P
Correct Answer: B
Rationale: A tautology is a statement that is always true. "P or not P" is always true by the law
of the excluded middle. P & ~P is a contradiction, as it is always false.
Question 6: Missing Premises
Consider the argument: "He is a bachelor. Therefore, he is single."
Which is the unstated premise that makes this argument valid?
A) All people over 18 are single.
B) Bachelors are unmarried men.
C) Marriage is a social construct.
D) All men are bachelors.
Correct Answer: B