My advanced educational background requires that I beg to differ with ya. After some verbs like "require" we use the subjunctive. Therefore,

language requires that each object have a gender.

This is correct grammar. Of course, undereducated persons will tromple all over the subjunctive mood, and I am на всё сто certain that you will find gazillions of trompled subjunctives on the net. The fact that you can only identify the subj. in the 3rd pers. sg. where it lacks the S does wonders to make certain we lose this mood soon.
I have/I am
you have/you are
he/she/it has / is
we have /are
y'all have /are
they have /are

that I have /be
that you have /be
that he/she/it have /be
that we have /be
that y'all have /be
that they have /be

Unfortunately, even with all its irregularities, the first paradigm wins out in the ordinary speech of the lumpenproletariat.