The phrase "ad infinitum" is often used in texts that are otherwise non-Latin. I would like to use a variation of this phrase in an English text. In philosophy of mathematics there is a distinction, going back to Aristotle, between potential infinity and actual infinity. I would like to make it clear that I'm referring to the former kind. Can I write "ad infinitum potentialis" or something like that (sorry if my guess is completely of the mark - I know next to nothing about Latin).
The full sentence would be as follows: "The claim is that the free creation of sequences - an arbitrary choice of an element, followed by another arbitrary choice of an element, ad infinitum potentialis - can result in sequences that cannot be defined."