(Rhet.), arguments invented by the speaker, in distinction from laws, authorities, and the like, which are called inartificial arguments or proofs. Johnson.
Webster 1913
literary argument
noun a summary of the subject or plot of a literary work or play or movie
argument.
the editor added the argument to the poem
WordNet
logical argument
noun a course of reasoning aimed at demonstrating a truth or falsehood; the methodical process of logical reasoning
argumentation; line; argument; line of reasoning.
I can't follow your line of reasoning
WordNet
specious argument
noun an argument that appears good at first view but is really fallacious
