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Definition of imaginary : 1. An imaginary expression or quantity.
2. Existing only in imagination or fancy; not real; fancied; visionary; ideal.

Synonyms:

invented, complex quantity, mythological, dreamlike, fabulous, simulated, fake, fanciful, synthetic, complex number, real, ideational, delusive, pretended, apocryphal, chimeric, chimerical, nonexistent, made-up, conceptional, shadowy, imaginary number, notional, fictitious, fantastical, imaginative, legendary, hallucinatory, mock, ideal, imagined, deceptive, visionary, false, whimsical, make-believe

fantastic, speculative, suppositional, inventive, dreamy

hypothetical, conjectural, prophesied, presumed

not real, unreal, unrealistic, unactual, illusory

bodiless, theoretical, immaterial, unearthly, unworldly, abstract, conceptual, intangible, supernatural, unsubstantial, incorporeal, impalpable, spiritual, eerie, ethereal, imponderable

Usage examples:

• 28 contains an imaginary sketch of a volcanic vent on the moon in the days when the craters were active. - "The Story of the Heavens", Robert Stawell Ball.
• I see our old garden at home,- in Clayton, I mean- and-" " It must be an imaginary garden, then. - "Janet's Love and Service", Margaret M Robertson.
• The sort one makes over a purely imaginary prospect. - "Mary Wollaston", Henry Kitchell Webster.