Final answer:
Not all possible premises need to be present for an argument's conclusion to be accepted. However, problems like false or irrelevant premises, circular reasoning, inadequate premises, and the existence of stronger alternative arguments can undermine the argument's validity.
Step-by-step explanation:
When constructing an argument, it is not necessary for all possible premises to be present for the conclusion to be accepted. However, there are several common problems with arguments that can affect their strength and validity. These include false premises, irrelevant premises, circular reasoning (where premises contain the conclusion), inadequate premises to support the conclusion, and scenarios where alternative arguments exist that offer equal or greater support.
For instance, circular reasoning occurs when the argument's premises assume the truth of the conclusion, rather than supporting it independently. An argument is considered to have inadequate support when its premises, even if true, do not logically lead to the conclusion. Furthermore, the presence of alternative arguments can challenge the acceptance of the original argument's conclusion, especially if they provide a more convincing or better-supported perspective.