Should I use subjunctive or indicative mood after "makes it possible that"?

Solution 1:

This is very confusing as written, but that is not because of choosing the form of the verb in the subordinate clause. It’s not grammatically wrong as written, but I suspect it is semantically wrong.

I assume it is intended to be equivalent to

Such a mechanism for a term’s designation makes it possible for the idea designated by the term to be distinct from the ideas assigned to the term.

But even simplified that way it still makes no sense.

• How can the idea which the term designates be different from the ideas which have been assigned to that term?
• The term designates ideas or the term assigns ideas?
• Or the ideas assign the term that designates the ideas?
• Some ideas get to be different than other ideas, but which ones and why and how?

All this makes no sense to me. I'd love to hear from someone it does make any sense to.