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 (kī-mĕr′ĭ-kəl, -mîr′-, kĭ-)
Highly improbable or illusory: "a chimerical quest for unlimited social mobility" (Jerome Karabel).

chi·mer′i·cal·ly adv.
References in periodicals archive ?
Intensities of the transitions changed chimerically but mostly they decreased.
In other words, the text acts out its awareness that the utopian ideal, in being blind to the reality of lived experience, chimerically exonerates us from all personal and political responsibility.
Though it seems as though the sensible knave wins because he can make a considerable addition to his fortune, this addition is only chimerically in his interest, when things are taken in the wrong "light.