Professor of infinite wisdom? (4-3)
I believe the answer is:
know-all
'professor of infinite wisdom?' is the definition.
The definition and answer can be both people as well as being singular nouns.
Maybe you can see an association between them that I can't see?
This is the entire clue.
Can you help me to learn more?
(Other definitions for know-all that I've seen before include "Someone who refuses to accept advice or information from others" , "Clever dick!" , "Pedantic" , "Clever clogs!" , "One affecting omniscience" .)