Definitions

from The American Heritage® Dictionary of the English Language, 4th Edition

  • adj. Not subject to challenge or objection: an irrecusable premise.

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. That cannot be challenged or objected to

from the GNU version of the Collaborative International Dictionary of English

  • adj. Not liable to exception or rejection.

from The Century Dictionary and Cyclopedia

  • Not recusable; not to be rejected or set aside.

Etymologies

French irrécusable, from Late Latin irrecūsābilis : Latin in-, not; see in-1 + recūsābilis, deserving of rejection (from Latin recūsāre, to refuse; see recuse).
(American Heritage® Dictionary of the English Language, Fourth Edition)
ir- +‎ recusable (Wiktionary)

Examples

  • In responsibility, which is, as such, irrecusable and non-transferable, I am instituted as non-interchangeable: I am chosen as unique and incomparable.

    "I cannot play with you. I am not tamed."

  • I have watched with awe how the progressive lobby turned al‐Qaeda recruit David Hicks into a relentless, irrecusable and finally triumphant national cause – from Taliban terrorist to latter‐day Nelson Mandela of Guantanamo Bay.

    Rudd's previous record in indigenous affairs

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