quixotically

/kwɪkˈsɑtɪkli/
adverb
  1. In a quixotic manner; with impractical idealism or noble but foolish enthusiasm.
    • They quixotically set out to climb the mountain without any climbing gear.
    • She quixotically believed that a simple letter could change the government's policy.
    • He quixotically volunteered to solve the city's traffic problems in a single weekend.
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