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Induction can refer to a couple of different concepts depending on the context:

Mathematical Induction: This is a proof technique used to establish that a given statement is true for all natural numbers. It involves two steps:

Base Case: Show that the statement is true for the initial value (usually 1).

Inductive Step: Assume the statement is true for some arbitrary natural number

�

k, and then prove that this assumption implies the statement is also true for

�

+

1

k+1.

Inductive Reasoning: This is a logical process where general conclusions are drawn from specific observations. It involves observing patterns or particular cases and then making a generalization based on those observations. For example, if you observe that the sun rises every morning, you might conclude that it will always rise in the morning.

Electromagnetic Induction: In physics, this refers to the generation of an electric current by changing the magnetic field around a conductor. This principle is the basis for many electrical devices, like transformers and generators.