To create or establish something on a particular foundation, idea, or principle. This sort of despicable behavior is certainly not what I founded the company on.
See also: found
found something (up)on something
to establish something on some kind of basis or justification. (Upon is formal and less commonly used than on.) The owners founded this company upon prompt service. We founded our business on practically no money.
found onor found upon
To establish the basis of something with some other thing; base something on something else: The original inhabitants founded their community on the basis of shared labor. The laws are founded upon deep principles of justice.