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Aristotle, 384–322 BCE. Logic Logic is the science of reasoning. Logic helps people decide whether something is true or false. A popular example of a syllogism given by Aristotle: All men are mortal Socrates is a man Therefore, Socrates is mortal.

Logical proof A logical proof is a list of statements. Each statement in the proof is either an assumption or has been proven to follow from earlier statements in the proof. A proof shows that one statement, the conclusion, follows from the assumptions. One can, for example, prove that "Aristotle is mortal" follows from "Aristotle is a man" and "All men are mortal".

Uses Logic is used by computers in what is called an algorithm. An algorithm is sort of like a cooking recipe; it tells the computer what to do and when to do it. Logic is used in mathematics. People who study math create proofs that use logic to show that math facts are correct. There is an area of mathematics called mathematical logic that studies logic using mathematics. Logic is also studied in philosophy.

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