A course of reasoning aimed at demonstrating a truth or falsehood; the methodical process of logical reasoning(noun)
WordNet. Princeton University. 2010.
Use "line of reasoning" in a sentence
"Daniel Moynihan used this line of reasoning to reach his controversial conclusion that the way to solve the problems of the inner cities was to concentrate on building stable home lives for ghetto youngsters."
"“Now, it would not surprise me if the psychiatrists regarded that line of reasoning as an indication of madness, a particular kind of madness more common than one might think, which they call paranoia."