Student or Learner
"An axiom is a logical, self-evident premise at its most basic and universal."
Is the highlighted part acceptable? It seems to me that "at its most basic and universal level" is correct, but when I googled it, I found several similar expressions. I wonder how it sounds to native speakers.
"Level" is acceptable but unnecessary. The less technical the context, the greater the tendency to use "level", and vice-versa.