“Ad infinitum” is a Latin phrase that means “to infinity” or “forever” in English. It is used to indicate that a process, sequence, or phenomenon continues indefinitely, without any endpoint. This suggests that the progression is unending or limitless.
For instance, if a legal argument or a chain of reasoning continues “ad infinitum,” it means that it extends indefinitely without reaching any resolution or conclusion. In mathematics, “ad infinitum” is used to describe an infinite series or an endless sequence.
Thus, in legal or philosophical discussions, you may come across the term “ad infinitum” to convey the idea that a particular line of reasoning or argument could theoretically continue indefinitely without reaching a final resolution.