I had a related idea a few years ago...

Multiplication might be a good way to associate nouns with adjectives, but isn't kingship a quality of something? And what can we do about the confusion when the French King, a man, is also a woman?

How about:

Person is French King = (P.f.k) where k = royalty.manhood P.f.r.m We divide and multiply ~ Person is Martian Queen = P.m.r.w

Dogs might be added to owners eg: W+pug, and averages can be taken:

((W + dog.breed1) + (W + dog.breed2) + (W + dog.breed3) + (W + dog.breed4) / 4) = 4W/4 + the dogs = W + incomprehensible remainder

Perhaps there's a use for it all. Logistics maybe? Whether by the PM's system or mine, grammar can certainly be encoded in arithmetic-like forms.

Maybe it's just the way we think.