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Jyutping zi1 kei4 bat1 ho2 ji4 wai4
Pinyin zhī qí bù kě ér wéi

Definitions (Wiktionary)
  1. phrase, idiomatic
    to (stubbornly) do something even though you know it is impossible; to understand the difficulty of a feat but to attempt it anyway because it is the right thing to do (e.g. strive to eliminate world hunger)
    (syn.) 知其不可而為之, 知其不可為而為之, 知其不可而为之, 知其不可为而为之