universally
Concise Oxford English Dictionary © 2008 Oxford University Press:
universal/juːnɪˈvɜːsl/
▶adjective relating to or done by all people or things in the world or in a particular group; applicable to all cases.
■ Logic denoting a proposition in which something is asserted of all of a class.
Contrasted with particular. ▶noun- 1 Logic a universal proposition.
- 2 Philosophy a term or concept of general application.
■ a nature or essence signified by a general term.
– derivatives
universality noun,
universally adverb.
universality noun,
universally adverb.
'universally' also found in these Oxford entries:

