Formal logic is the practice of deriving logical conclusions from premises that are known or assumed to be true.There are several types of formal logic that each rely on different systems of translating statements in natural language into a formal representation. Once represented in a formal language, logic can be evaluated for correctness and used to infer conclusions.
No system of logic can represent all the nuances of natural language. As a result, informal logic can evaluate ideas that are out of formal logic's reach.
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