Ad infinitum

Ad infinitum is a Latin phrase meaning "to infinity" or "forevermore".

In context, it usually means "continue forever, without limit" and this 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 17th-century writer Jonathan Swift incorporated the idea of self-similarity in the following lines from his satirical poem On Poetry: a Rhapsody (1733): The vermin only teaze and pinch Their foes superior by an inch.

Thus every poet, in his kind, Is bit by him that comes behind[1] The mathematician Augustus De Morgan included similar lines in his rhyme Siphonaptera.