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The study of valid rules of inference 

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The study of valid rules of inference

Answer

LOGIC


Definition

The science or art of exact reasoning, or of pure and formal thought, or of the laws according to which the processes of pure thinking should be conducted; the science of the formation and application of general notions; the science of generalization, judgment, classification, reasoning, and systematic arrangement; correct reasoning.
A treatise on logic; as, Mill's Logic.