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Which of the following statements is true?
Question



Which of the following statements is true?

A.

In a valid argument all of its premises have to be true

B.

Validity can be attributed to any single proposition by itself

C.

Truth and falsehood are attributes of single propositions

D.

Truth and falsehood can be attributed to arguments

Correct option is C


The correct statement is "Truth and falsehood are attributes of single propositions." In formal logic:
· A proposition is a declarative sentence that can be either true or false, such as "The sky is blue" (true) or "2 + 2 = 5" (false).
· Truth or falsehood applies exclusively to individual propositions, as they represent factual claims about the world.
Information Booster: · Truth/Falsity: Properties of individual propositions.
· Validity: A property of arguments, determined by whether the conclusion logically follows from the premises.
· Soundness: An argument is sound if it is valid and all its premises are true.
· A proposition like "All swans are white" can be false, but it is still a proposition.
· Logical reasoning depends on understanding these distinctions to evaluate arguments effectively.
Additional Knowledge: · (a) In a valid argument all of its premises have to be true: Confuses validity with soundness. A valid argument ensures that if the premises are true, the conclusion must be true, but the premises themselves do not need to be true for the argument to be valid.
· (b) Validity can be attributed to any single proposition by itself: Validity is relational and applies to the logical structure of an argument involving multiple propositions.
· (d) Truth and falsehood can be attributed to arguments: Misconception. Arguments are evaluated based on validity (logical form) and soundness (truth of premises), not on truth or falsehood.

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