We can assume and differ on base-line assumptions/axioms. But the stance you take (axiom you assume that existence is infinite) is in contradiction with reasoning you extrapolate from this base. You could then reassert your base-line axiom as you have to say that infinity is inherently irrational. This doesn't fix your other point but questions my baseline. This can be done as all baselines when taken back to source reasoning come from assumptions: Humes Problem with Induction. My assumption is this: and this is formative and in concord with/to my corrollaries. I follow my axiological baseline through logically. But we could assume a different stance as you suggest (though as per my quote I find it displeasing to do so) and assume as you say that infinity is not logical/rational, which you could then use to extrapolate out a different stance on that basis. This doesn't affect my stance within the axiological framework "Existence Is Infinite" though . . .