To be intelligent or have intelligence may mean someone else thinks you are bright or standardized tests and IQ tests show high intelligence.
Brilliance may be correlated with intelligence, such as in being a genius - someone of high intelligence. OR, sometimes a person of normal intelligence may have a brilliant idea. Persons in the UK sometimes use the expression, "Brilliant!", simply to convey "Great idea!" Brilliance may only mean approaching a problem in a different way that hadn't been considered before.
Everyone has moments of brilliance-- but the person and others may just not recognize it.
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Intelligent is an adjective. Some synonyms include smart, brainy, brilliant, and sharp.
Intelligent, brilliant, genius.
smart, wise, knowledgeable, brilliant, well-informed
I would say that cunning is intelligence without wisdom
Genius Intellectual Smart Academic brilliant brainy intelligent