Correct option is A
1.
A. Propositions or statements can be true or false:
True. Propositions are declarative statements that are either true or false. This is fundamental to logic.
2.
E. In a valid argument, if its premises are true, the conclusion cannot be false:
True. This is the definition of a valid argument. Validity guarantees that true premises will lead to a true conclusion.
Information Booster:
1.
Propositions: Statements with a definite truth value (true or false).
2.
Validity: A property of arguments where the conclusion logically follows from the premises.
3.
Truth vs. Validity:
· Truth applies to propositions.
· Validity applies to the logical structure of arguments.
Additional Knowledge:
1.
B. Proposition can be valid or invalid:
False. Validity applies to arguments (logical structures), not individual propositions. Propositions are evaluated as true or false.
2.
C. A valid argument must contain only true premises:
False. Validity refers to the logical structure of an argument. A valid argument can have false premises and still be logically valid if the conclusion follows logically.
3.
D. A valid argument must have a true conclusion:
False. A valid argument ensures that if the premises are true, the conclusion must also be true. However, if the premises are false, the conclusion can also be false, and the argument can still be valid.