In the manner of being blindfolded; acting or proceeding while unable to see or without proper information or judgment.
From 'blindfolded' (wearing a blindfold) plus the adverb suffix '-ly.' The base 'blindfold' comes from a 16th-century verb meaning to cover someone's eyes.
Adding '-ly' to an already modified form like 'blindfolded' creates this unusual double-adverb that suggests not just one action but a whole manner of operating. It's the difference between 'being blindfolded' and 'operating blindfoldedly'—a state of persistent blindness.
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