In a cryptic, mysterious, or prophetic manner; in the style of the Delphic oracle's ambiguous pronouncements.
From Delphian + -ly (adverb suffix), creating an adverbial form to describe how something is said or done in a mysterious way.
When someone answers 'delphically,' they're speaking in a way that could mean multiple things—just like the Oracle who once told a king he would 'conquer a great empire,' not mentioning it was his opponent's.
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