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ad infinitum; ad inf.; ad infin. (ad in fuh NIGH tuhm) (adverb) (not comparable)
Without limit; indefinitely into the future; endlessly; describing something which goes on forever.
Jonathan Swift, an English satirist born in Ireland (1667-1745), wrote: "So, naturalists observe, a flea hath smaller fleas that on him prey; and these have smaller still to bite ‘em; and so proceed ad infinitum."
The term is often used interchangeably with ad nauseam and the original Latin sense is "beyond limits".
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ad inf., ad infinitum
to infinity (endless)
Endlessly; without limit; indefinitely into the future. (1)