Which preposition to use with evaluates

for Occurrences 1%

The Professor of Logic came over one day to talk about it, and we had a long and exciting argument, the result of which was "x -x"a magnitude which you will be able to evaluate for yourself.

on Occurrences 1%

Some scholars do not accept this "double standard", although we have clear texts which show that cases were evaluated on the basis of Confucian texts and not on the basis of laws.

Which preposition to use with  evaluates