universal

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.

– origin ME: from OFr., or from L. universalis, from universus (see universe).