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Synonyms for Name (same or very similar meaning)

WordNet sense 1 (a well-known or notable person):
figure, public figure

WordNet sense 2 (family based on male descent):
gens

WordNet sense 3 (a defamatory or abusive word or phrase):
epithet

WordNet sense 4 (charge with a function; charge to be):
make, nominate

WordNet sense 5 (create and charge with a task or function):
appoint, constitute

WordNet sense 6 (assign a specified (usually proper) proper name to):
call

WordNet sense 7 (give the name or identifying characteristics of; refer to by name or some other identifying characteristic property):
identify

WordNet sense 8 (make reference to):
advert, cite, mention, refer, advert, bring up

WordNet sense 9 (give or make a list of; name individually; give the names of):
list

WordNet sense 10 (identify as in botany or biology, for example):
describe, discover, distinguish, key, key out

WordNet sense 11 (determine or distinguish the nature of a problem or an illness through a diagnostic analysis):
diagnose


From the ODE community, based on WordNetadd/edit