European, having arithmetical facility to make a list (9)
I believe the answer is:
enumerate
'list' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for enumerate that I've seen before include "Specify individually" , "Count - list" , "Count or mention items one by one" , "List one by one" .)