Ad Infinitum

lit. “to infinity”

Endlessly, without limit; continuing forever.

Origin

A classical Latin phrase, common in scholastic philosophy and mathematics by the medieval period. The original of 'and so on, forever.'

Modern usage

Used in writing more than speech, both literally (a process that genuinely repeats without end) and rhetorically (something that feels endless). 'Big fleas have little fleas upon their backs to bite 'em, and little fleas have lesser fleas, and so ad infinitum' is the canonical English example.

Ad Nauseam

Repeated or continued to a sickening, exhausting extent.

phrase

Latin Phrases

Ad Hoc

Improvised for a specific purpose, not part of a general plan.

concept

Mathematics

Infinity (∞)

The concept of a quantity without bound — and, in modern math, of multiple distinct sizes of unboundedness.

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