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What do you understand by mathematical and logical reasoning?

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A person's ability to regulate, measure, and understand numerical symbols, abstraction and logic.

OR 

Reasoning is based on previous established facts. To establish a new fact or truth one has to put it to the test of reasoning. If the new fact coincides with the previously established facts, it is called logical or rational. It is the ability of a person to regulate, measure and understand numerical symbols, abstraction and logic.

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