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Assuming you are talking about inductive reasoning(excluding the mathematical "proof by induction"), it is the drawing of a generalized conclusion based on what you already know.

For Example:

All the Ice I have seen so far is cold, (previous knowledge)

Therefore all ice is cold. (Generalized conclusion)

Another example is:

All Cats I have seen walk on four legs,

therefore all cats walk on 4 legs.

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