noun
a power of perception beyond the five senses, often regarded as a form of extrasensory perception (ESP)
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Many people believe in the existence of a sixth sense, which allows them to perceive things beyond the five traditional senses.
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I have a sixth sense about when it's going to rain - my joints start aching!
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She's got a killer sixth sense when it comes to knowing who to trust.
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His sixth sense for business opportunities has made him a successful entrepreneur.