Inductive: Latin inducere, from in + ducere to lead. To induce means to: move by persuasion or influence; call forth, effect; cause the formation of. Inductive reasoning begins with observing particulars.
Should the particulars indicate a pattern, a conclusion might be drawn or inferred. The particular is the starting point. To infer means: to derive as a conclusion from facts or premise; guess, surmise; involve as a normal outcome of thought; point out, indicate, suggest, hint.
Deductive: Latin deducere, to lead away, from de- + ducere to lead. To deduce means to: infer from a general principle; trace the course of. Deductive reasoning draws a conclusion about particulars based on general or universal premises. The general is the starting point. A premise is something assumed or taken for granted, presupposed, believed.
Empirical: Originating in or based on observation or experience; relying on experience or observation alone often without due regard for system and theory; capable of being verified or disproved by observation or experiment. Latin empiricus, from Greek empeirikos, doctor relying on experience alone, from empeiria experience.