This is a good question. But first: we (me included) have already abused this thread enough with a long off-topic, which is nonetheless interesting because it goes at the roots of how functional epistemologies work. May a moderator be so kind to move this discussion to another thread, in chit chat or somewhere? "The probability ladder" might be a good title?

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@Mendel: of course it does not make any difference from the practical point of view, like owning 10EXP-87 dollars does not make one any richer in practice than owning zero dollars. But there
are differences, and even when irrelevant in practice they remain important conceptually.
We basically have two functional methods to acquire knowledge: deductive reasoning and inductive reasoning. Deductive reasoning means applying pure logic (if A then B): with this method it's very much possible to say something does not exist. A square with five sides does not exist, because it would be both a square and a not-square, against logic (A and non-A = false)
Deductive reasoning is very cool but it has a terrible flaw: one needs to start from somewhere (if A then...) And in general we cannot be sure A itself is true, except in some abstract cases as squares having four sides. So in practice we always use inductive reasoning instead: what better explains the observations, A or not-A? Inductive reasoning uses deductive logic as a tool, of course, but the conceptual difference is huge: now we can never be sure, we can only reach a probabilistic knowledge. We may be able to say the probability of something is 10EXP[minus
Graham's number] but we can no more say "it surely does not exist": there always is a minuscule, practically zero chance it could instead (*).
(*) And I can't forget my probability theory university textbook even cautioned (in the continuos case) that "probability zero does not mean impossible, probability one does not mean certain"