There you go imagining things that aren't real again. The classical proofs are evidence on top of evidence, and logical proofs are . . . logical proofs. Logic is used to prove or disproves things, and according to the proofs of organic logic, the laws of thought, collectively, is God's logic, but to understand why that's necessarily true in organic logic, one must be willing to think the matter through while being intellectually honest and consistent.
"The Seven Things," which they all know to be true, really, except for maybe Hollie, who is not quite right in the head, are logically and objectively true for all with a sound, developmentally mature mind! There're axioms of human cognition, not proofs, except the Transcendental Argument (#6), which is an axiomatic proof for God's existence in organic logic. The denial of the latter's universal ultimacy, though not entirely unreasonable for scientific reasons, maybe, sort of, remains contradictory or paradoxical, given that one must hold that all other a priori knowledge is universal, but not the God axiom, strangely enough, and then go on to do science, again, strangely enough, using the very same kind of a priori knowledge, namely, mathematical axioms, postulates and theorems. Hmm.
But these objective facts of human cognition regarding the imperatives of the problems of existence and origin, including the inherent proofs of the I AM and the ultimate nature of the laws of thought, are intellectually apprehended. The full realization/experience of the divine reality behind them requires a leap of faith based on their testimony, but the divine reality itself is neither the proof nor the evidence, but the ultimate ground or substance of both. And faith is the evidence of the knower's belief in the testimony given.
(In the meantime, the Bible, as an aside, you understand, tells us that God has in fact proven to mankind, with rational and empirical evidence, that He exists via the very logic that is universally apparent to us all, as it is universally impressed on the soul and bioneurologically hardwired.)