logical argument

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Argument
In logic and philosophy, an argument is a series of statements typically used to persuade someone of something or to present reasons for accepting a conclusion. The general form of an argument in a natural language is that of premises (typically in the form of propositionsstatements or sentences) in support of a claim: the conclusion. The structure of some arguments can also be set out in a formal language, and formally defined "arguments" can be made independently of natural language arguments, as in math, logic, and computer science.

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logical argument

Noun
1. the methodical process of logical reasoning; "I can't follow your line of reasoning"
(synonym) argumentation, line of reasoning, line
(hypernym) reasoning, logical thinking, abstract thought
(hyponym) line of inquiry, line of questioning