The definition of GOD

My argument is this; IF God DID exist, logically, scientifically and mathematically what would GOD BE?
As far as I can see God by definition would be the most powerful, the strongest, the wisest, and so on and so forth. God would be greater than anything and anyone.

Dictionary: potential (p-tn'shl)adj.
Capable of being but not yet in existence.
Having possibility, capability, or power.n.
The inherent ability or capacity for growth, development, or coming into being.
Something possessing the capacity for growth or development.
Grammar. A potential verb form.
Physics. The work required to move a unit of positive charge, a magnetic pole, or an amount of mass from a reference point to a designated point in a static electric, magnetic, or gravitational field; potential energy.

Potential is almost but not quite the same as possibility. It has capacity for growth, development etc, but this itself relies on possibility. With possibility it either is or is not, there is no room for improvement. For example the ultimate being would not need to improve.

po·ten·ti·al·i·ty (p-tnsh-l-t)
n. pl. po·ten·ti·al·i·ties
1. The state of being potential.
2.
a. Inherent capacity for growth, development, or coming into existence.
b. Something possessing such capacity.