Human beings agree at an intellectual level (8)

I believe the answer is:

mentally

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'at an intellectual level' is the definition.
I can't judge whether this defines the answer.

'human beings agree' is the wordplay.
'human beings' becomes 'men' ('man' can be a synonym of 'human being').
'agree' becomes 'tally' (synonyms).
'men'+'tally'='MENTALLY'

Can you help me to learn more?

(Other definitions for mentally that I've seen before include "not physically" , "rationally" , "Intellectually" , "Cerebrally" , "by way of intellect" .)

I've seen this clue in The Guardian.

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