Crossword Genius

A professor of infinite wisdom (4-3)

Ross

I believe the answer is:

know-all

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This clue could be a double definition.

'a professor' is the first definition.
The definition and answer can be both people as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

'infinite wisdom' is the second definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'of' acts as a link.

Can you help me to learn more?

(Other definitions for know-all that I've seen before include "One who thinks they have all the answers" , "Someone who refuses to accept advice or information from others" , "Self-styled polymath" , "Person who behaves like encyclopedia 94-3)" , "Person who thinks he has all the answers" .)

I've seen this clue in The Globe and Mail.
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