I am corious about the meaning of feely in the next context: tell an incident now that will clarify this mystery of how we act feely,

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I am corious about the meaning of feely in the next context: tell an incident now that will clarify this mystery of how we act feely,

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This is a tough one. Have you tried addressing the author directly? Ask the author what he or she means. Or look at the larger context in which the “mystery of how we act feely” was introduced…
A “touchy feely” person is one who touches other people in the context of socializing or conversation. The adjective does not have a positive connotation.