Explanations, and the understandings they mediate, must all terminate (at least in principle) upon *some singularity or other* if they are to hang together – if they are to succeed as explanations by satisfying our urge to understand. This is as true for explanations of singular phenomena as it is for explanations of regularities. Science then, of any sort, has no alternative but to adduce some singularity or other as the original fact or truth at the basis of all others. The terminus ad quem of the scientific project must be an account of the terminus a quo of all things: a terminal singularity. This, whether the posited singularity be a historical event such as the Big Bang, or a fundamental equation that can work as a Theory of Everything, or what have you.
But only one sort of terminal singularity can ultimately succeed – not at completing inquiry, for (per Gödel) that completion is not possible to finite beings, but rather at satisfying them that things cohere intelligibly. Only one sort of terminal singularity can set the scientist’s mind finally and fully at ease.