With a galvanic cell a redox reaction occurs spontaneously and electric current is produced.
An electrolytic cell requires electric current to drive a non-spontaneous redox reaction.
With my question, if you had I2 being reduced at the cathode and Mn being oxidised at the anode, you would have a galvanic cell (Ecell = 1.74V).
I just don't like how the solution (and the explanation in both my textbooks) always says, "The cathode reaction will be the reaction with the most positive reduction potential.
I think it would be more correct to say:
"The cathode reaction will be the reaction with a negative potential that is closest to zero". What do you guys think?