Induction means "induced current." An inductor (like a coil) drives the current from it's own magnetic fields when a voltage source is applied to either end of the coil. Another way current is induced is when a current in one wire creates a magnetic field which can "induce" current in another wire that is parallel to the first wire.
Conduction just means that a material has electrical properties that allow current to flow such as copper or other conductive metals. Usually denoted in math as a lower case Greek symbol sigma.
Currents are not induced. Voltages are induced.