Final answer:
An argument with a tautological premise is considered valid, as a tautology is always true, and thus does not impact the logical structure of the argument's inference from premises to conclusion.
Step-by-step explanation:
The question 'Every argument that has a tautology among its premises is a valid argument' can be addressed by understanding the nature of a valid argument and the role of tautological premises. A tautology is a statement that is true in all possible situations by its structure. In logical reasoning, a valid argument is one where if the premises are true, the conclusion must also be true.
A tautology does not provide any substantial information about the world; it is merely a restatement of logical truths. However, if we insert a tautology into an argument as a premise, the core reasoning of the argument does not change, because the tautology is always true. Consequently, in terms of logical structure, the inclusion of a tautology would not make an argument invalid. Thus, an argument containing a tautology as a premise can be considered valid so long as the rest of the argument's structure correctly infers the conclusion from the premises.
Therefore, the claim 'Every argument that has a tautology among its premises is a valid argument' is A. True, because the tautological premise guarantees its own truth, leaving the validity of the argument to depend on the logical structuring of the other premises and the conclusion.