WordNet sense 1 (afford possibility):

allow

WordNet sense 2 (have room for; hold without crowding):

accommodate, hold

WordNet sense 3 (allow to enter; grant entry to):

intromit, allow in, let in

WordNet sense 4 (allow participation in or the right to be part of; permit to exercise the rights, functions, and responsibilities of):

include

WordNet sense 5 (admit into a group or community):

accept, take, take on

WordNet sense 6 (declare to be true or admit the existence or reality or truth of):

acknowledge