Asked by Kevin Haberman on May 20, 2024
Verified
The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. 
A) MP
B) MT
C) HS
D) DS
E) Conj
Inference Forms
Patterns or structures of logical reasoning that derive conclusions from premises based on rules.
MP
An abbreviation for Modus Ponens, a form of argument in logic where if a conditional statement ("if P, then Q") is accepted, and the antecedent P holds, then the consequent Q logically must also hold.
MT
An abbreviation often referring to Modus Tollens, a form of deductive argument where the consequent in a conditional proposition is negated, leading to the negation of the antecedent.
- Embrace the knowledge and categorization of the five primary methods of deductive logic: Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).
Verified Answer
MK
Makayla KeelinMay 23, 2024
Final Answer :
B
Explanation :
The argument has the form of Modus Tollens (MT), which is stated as follows:
Premise 1: If P, then Q.
Premise 2: Not Q.
Conclusion: Therefore, not P.
In this argument, the premises are:
Premise 1: If John does not study for his exam, then he will fail.
Premise 2: John did not fail.
The conclusion is: Therefore, John studied for his exam.
This can be reformulated as:
- P: John does not study for his exam.
- Q: John will fail.
Thus, applying MT, we have:
Premise 1: If John does not study for his exam, then he will fail. (If P, then Q)
Premise 2: John did not fail. (Not Q)
Conclusion: Therefore, John studied for his exam. (Not P)
Premise 1: If P, then Q.
Premise 2: Not Q.
Conclusion: Therefore, not P.
In this argument, the premises are:
Premise 1: If John does not study for his exam, then he will fail.
Premise 2: John did not fail.
The conclusion is: Therefore, John studied for his exam.
This can be reformulated as:
- P: John does not study for his exam.
- Q: John will fail.
Thus, applying MT, we have:
Premise 1: If John does not study for his exam, then he will fail. (If P, then Q)
Premise 2: John did not fail. (Not Q)
Conclusion: Therefore, John studied for his exam. (Not P)
Learning Objectives
- Embrace the knowledge and categorization of the five primary methods of deductive logic: Modus Ponens (MP), Modus Tollens (MT), Hypothetical Syllogism (HS), Disjunctive Syllogism (DS), and Conjunction (Conj).