1. an inspiration (countable)

2. induction (generation of an electric current by a varying magnetic field) (physics)

3. induction (derivation of general principles from specific instances) (logic)

4. induction (a method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next) (mathematics)