This page lists some books about argument and persuasion as well as subject headings under which more books might be found. It also presents two philosophical pyramids related to argument and persuasion.
There is no discrete subject heading for Argument and Persuasion (A&P) in the Library of Congress Subject Headings. However, small shelf-browsing ranges can be found at Library of Congress book classification P301, as well as the ranges PE1431 and PN171.4 - PN229, all on the Library's sixth floor. Useable headings for library online catalog Subject searches are
The source url provides useful commentary for interpreting the pyramid. Basically, the closer your own (counter)arguments correspond to the lower tiers of the pyramid, the weaker they are.
The splay of call numbers in the list of books below confirms that there is nothing that could be called an "argument section" in the Library of Congress classification. Probably the best way to supplement this list of books would be to examine the books shelved near them in the Houston Cole Library stacks or to look on the backs of the title page to review the subject headings assigned to these books.