Definitions from Wiktionary ( )

▸ adjective:  (usually of a decision) Based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random.
▸ adjective:  Determined by impulse rather than reason; often connoting heavy-handedness.
▸ adjective:  (mathematics) Any, out of all that are possible.
▸ adjective:  Determined by independent arbiter.
▸ adjective:  (linguistics) Not representative or symbolic; not iconic.
▸ noun:  Anything arbitrary, such as an arithmetical value or a fee.

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