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Adjective: inexorable  in'ek-s(u-)ru-bul
  1. Not to be placated, appeased or moved by entreaty
    "Russia's final hour, it seemed, approached with inexorable certainty";
    - grim, relentless, stern, unappeasable, unforgiving, unrelenting
  2. Impervious to pleas, persuasion, requests, reason
    "Cynthia was inexorable; she would have none of him";
    - adamant, adamantine, intransigent, unbudgeable

See also: implacable, inflexible

Encyclopedia: Inexorable