ad infinitumæd ˌɪn fəˈnaɪ təm, ˌæd ɪn-
ad infinitum (adverb)
to infinity; without or seemingly without limit
"talked on and on ad infinitum"
ad infinitum (Adverb)
Endlessly; for ever; neverendingly.
Ad infinitum is a Latin phrase meaning "to infinity" or "forevermore". In context, it usually means "continue forever, without limit" and thus can be used to describe a non-terminating process, a non-terminating repeating process, or a set of instructions to be repeated "forever," among other uses. It may also be used in a manner similar to the Latin phrase "et cetera" to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include: ⁕"The sequence 1, 2, 3, ... continues ad infinitum." ⁕"The perimeter of a fractal may be iteratively drawn ad infinitum." ⁕The 17th century writer Jonathan Swift wrote lightheartedly the idea of self-similarity in natural philosophy with the following lines in his poem "On Poetry: A Rhapsody": ⁕The Victorian era mathematician Augustus De Morgan expanded on this with a similar verse: This text is part of the nursery rhyme The Siphonaptera.