In a logical argument or method of reasoning, each step must be true if the step before it is true. Each logical step must be checked by other mathematicians.
Logical refers to the use of clear and sound reasoning, relating to, involving, or characterized by a systematic and orderly way of thinking and analyzing things based on established principles of validity.
according to or agreeing with the principles of logic: a logical inference. reasoning in accordance with the principles of logic, as a person or the mind: logical thinking.
Logical describes something that comes from clear reasoning. Using a fire extinguisher to put it out a fire is a logical step. Trying to put it out with gasoline is not. The adjective logical is rooted in the Greek word logos, which means "reason, idea, or word."
According to the principles of logic; so stated or conceived, as an argument, that the form guarantees its validity; unobjectionable from the point of view of logic; consistent: as, logical reasoning; a logical division of a subject; a logical definition.
Reasoning is a logical, thoughtful way of thinking. When your teacher explains the reasoning behind his classroom rules, he makes it clear exactly why and how he came up with them.
Reasoning is a cognitive process that involves the construction of logical justifications for actions or decisions. It’s heavily used in problem-solving and decision-making scenarios, utilising one’s intellectual capabilities to achieve a particular objective.
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