Asked by Parker Jackson on May 01, 2024
Verified
Is it possible for two propositions with different predicates to be equivalent?
A) No, because they could never have the same meaning.
B) No, because equivalent propositions must have equivalent predicates.
C) Yes, because only the subject matters when determining equivalence.
D) Yes, but only if the subjects of the propositions are equivalent.
E) Yes, because equivalence does not depend on having identical predicates.
Equivalent
Possessing identical worth, purpose, or significance.
Predicates
Components of sentences that express what is being said about the subject, typically containing a verb and providing information about the subject's action or state.
Propositions
Statements or assertions that express a judgment or opinion which can be either true or false.
- Identify the connection between statements and their potential equivalence.
Verified Answer
ZK
Zybrea KnightMay 03, 2024
Final Answer :
E
Explanation :
Equivalence between propositions is determined by their truth values under all possible interpretations, not by having identical predicates. Two propositions can be logically equivalent if they always yield the same truth value, regardless of the difference in their predicates.
Learning Objectives
- Identify the connection between statements and their potential equivalence.