Nonarbitrary vs. Arbitrary — What's the Difference?

Not arbitrary.

Based on random choice or personal whim, rather than any reason or system

Not subject to individual determination

(of power or a ruling body) unrestrained and autocratic in the use of authority

(of a constant or other quantity) of unspecified value.

Determined by chance, whim, or impulse, and not by necessity, reason, or principle

Based on or subject to individual judgment or preference

(Law) Relating to a decision made by a court or legislature that lacks a grounding in law or fact

Not limited by law; despotic

Based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random.

Determined by impulse rather than reason; heavy-handed.

(mathematics) Any, out of all that are possible.

Determined by independent arbiter.

(linguistics) Not representative or symbolic; not iconic.

Anything arbitrary, such as an arithmetical value or a fee.

Depending on will or discretion; not governed by any fixed rules; as, an arbitrary decision; an arbitrary punishment.

Exercised according to one's own will or caprice, and therefore conveying a notion of a tendency to abuse the possession of power.

Despotic; absolute in power; bound by no law; harsh and unforbearing; tyrannical; as, an arbitrary prince or government.

Based on or subject to individual discretion or preference or sometimes impulse or caprice;