This document discusses different types of arguments and their structures. It defines arguments as sets of statements connected by justification that provide evidence for a main claim. Arguments can have independent or dependent premises. Independent premises provide separate support so the falsity of one does not undermine the others. Dependent premises are interconnected so the falsity of one can undermine the others. Convergent arguments provide different independent reasons for a claim, while linked arguments have reasons that depend on each other for strength and cannot stand alone. The document also discusses diagramming arguments, the difference between arguing and persuading, enthymemes that have implied or missing parts, common assumptions, and dubious assumptions.