The need for a totality fact is reminiscent of the beginning of Wittgenstein's Tractatus,

1 The world is everything that is the case.

1.1 The world is the totality of facts, not of things.

1.11 The world is determined by the facts, and by these being all the facts.

1.12 For the totality of facts determines both what is the case, and also all that is not the case.

It is interesting how the same (or at least analogous) problems, arguments and concerns reappear in successive iterations of the Great Reductionist Project.