Asked by Michael Hoffman on May 10, 2024
Verified
Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (C⋅M) ⊃CC⊃(M⊃C) \frac { ( C \cdot M ) \supset C } { C \supset ( M \supset C ) }C⊃(M⊃C) (C⋅M) ⊃C
A) C: T M: T
B) C: T M: F
C) C: F M: T
D) C: F M: F
E) None-the argument is valid.
Atomic Sentences
Basic propositions that express a complete thought without the use of logical operators.
Truth Table
A mathematical table used in logic to determine the truth value of various expressions based on the truth values of their components.
- Acknowledge the process of forming and assessing short form truth tables.
- Assess the validity of logical explanations based on truth tables.
Verified Answer
SS
Stephen StewartMay 15, 2024
Final Answer :
E
Explanation :
The argument is valid because in every possible scenario where the premise is true, the conclusion is also true. A truth table would show that there is no row where the premise is true and the conclusion is false, which is the condition for an argument to be invalid.
Learning Objectives
- Acknowledge the process of forming and assessing short form truth tables.
- Assess the validity of logical explanations based on truth tables.