Please accept my apologies for this delayed response. I've had to take a hiatus for reasons I won't go into. On top of that, I have to admit that I was hard pressed to conceive an answer to your question. Since then, however, two things have happened that have helped me to formulate an answer.
One is that a fellow member, MissSalinas (aka Ceci), has brought to our attention that there are many types of adjectives:
MissSalinas goes on to cite her source, which is nothing less than a textbook by Betty Azar and Stacy Hagen, whose names appear at the masthead of this website.
Let me quote from their book Basic English Grammar:
(b) a beautiful young woman
(c) a beautiful red car
(d) a beautiful Greek island
The adjective beautiful expresses an opinion. Opinion adjectives usually come before all other adjectives. In (b): opinion precedes age. In (c): opinion precedes color. In (d): opinion precedes nationality.
I don't know whether I've made my mind up whether I agree that determiners (which includes possessive forms of nouns, even proper nouns, as well as pronouns) can or can't be considered a type of adjective. I do understand and respect the point of view of David and other proponents of "modern linguistics", but I believe that this is a science in its nascent state. I honestly hope that David and I will work together to help bring about the next generation.
As to your earlier question (and again, I beg your pardon for the lateness of my response), I would say that "good", "better", and "best" are all proper adjectives. I can imagine "better" as a determiner:
- Better men have challenged me.
But it still seems to be an adjective. Compare:
- Four men have challenged me.
- Ugly men have challenged me.
PS: Special thanks and love to Ms Azar and her associate, Ms Van Etten, for sending me an actual copy of the aforementioned text, and other things.