Definition of set one's heart (or hopes) on in US English:

set one's heart (or hopes) on

phrase

  • Have a strong desire for or to do.

    ‘she had her heart set on going to college’
    • ‘I am recently out of a relationship with a man that I had set my heart on marrying.’
    • ‘Up to this point in my life, I had never come close to anything I had set my heart on.’
    want desperately, wish for, desire, long for, yearn for, be consumed with desire for, hanker after, hanker for, ache for, hunger for, thirst for, lust after, lust for, sigh for, burn for, itch for, be dying for, die for
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