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Reaching a conclusion by looking at several examples is called

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Inductive reasoning

But, inductive reasoning is the process of arriving at a conclusion based on a set of observations. In itself, it is not a valid method of proof eg ...For example, a conclusion that all swans are white is false, but may have been thought true in Europe until the settlement of Australia, when Black Swans were discovered......
User Dmitry Malugin
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