An argument can be thought of as two or more contradicting tree structures.
The root of each tree is a claim: a belief supported by information.
The root branches out to nodes that are grounds: supporting information.
The edges connecting them are warrants: rules or principles.
Claims, grounds and warrants are often not known for certain, so they are presented with a qualifier to indicate their probability.
When a ground is disputable it is a sub claim; in this way the tree can grow to be quite large.
The object of a discussion is often to resolve a difference of opinion. This requires common grounds from which to logically convince one's opponent that one's claim is better supported and that the opponent's claim is supported by false grounds and or warrants (see Occam's razor). If one has no grounds or warrants to support one's claim, then one has no argument, just a belief/claim, perhaps an inaccurate one.