CONVERGENT, LINKED, SERIAL Argumentation

The conclusion of an argumentation is usually expressed in a single statement, possibly expanded in a short closing speech, see Argument – Conclusion.
The arguments, i.e., the part of the argumentative discourse that supports and sometimes surrounds the conclusion, can be considerably developed along quite different lines:

— Convergent argumentation, also called multiple argumentation, combines several co-oriented arguments.

— Linked argumentation, also called coordinate argumentation consists of several statements that combine to form an argument.

— Serial argumentation, also called subordinate argumentation consist of a sequence of argumentations, such as the conclusion of the first one is taken as an argument to support a second one and so on, see sorite.

One caveat: these categories are logical categories; they assume that arguments correspond to clean-cut, continuous explicit linguistic segments, just like premises in a logical reasoning. This is not the case in ordinary language, where arguments can be intertwined, an argument can contain another argument,  and episodes of expository language can take a distinctly argumentative turn. See Tagging.