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Definition of arbitrary:

  1. Depending on will or discretion; not governed by any fixed rules; as, an arbitrary decision; an arbitrary punishment.
  2. Despotic; absolute in power; bound by no law; harsh and unforbearing; tyrannical; as, an arbitrary prince or government.
  3. Exercised according to one's own will or caprice, and therefore conveying a notion of a tendency to abuse the possession of power.

Synonyms:

tyrannical, chance, whimsical, authoritative, surprise, imperative, impulsive, judgmental, peremptory, optional, lordly, supreme, overbearing, commanding, scientific, absolute, imperious, discretional, superficial, study at, despotic, compulsory, freakish, irresponsible, unreasonable, compulsive, monocratic, injudicious, opinion, coercive, inconsistent, temporary, autocratic, autarchical, dogmatic, domineering, haughty, crotchety, judicious, consistent, willful, capricious, exacting, supercilious, politics, tyrannic, dictatorial, discretionary, positive, unscientific, totalitarian, unequivocal, tyrannous, uncertain, reasonable, unconditional, unaccountable, autarchic, over, self-willed, arrogant, controlling, irrational, unpredictable, unpremeditated, autocratical, absolutistic.

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