When we humans attempt to conceive or imagine the infinite we tend to focus on particular limits that are conspicuous to us. These limits are conspicuous to us because when we confront them we feel our limitations.

We imagine the removal of these limits and believe we imagine an experience of infinitude. Or we logically negate limits and believe we cognize infinity. The former is the stuff of religious fantasy, the latter is the stuff of scientistic rationality.

But both of these negating negatives takes us a single step toward the infinite. They both transpire within the realm of already-conceivable. Religious fantasy conceives immortality by removing a conceived feared event, death. Or it conceives omniscience by removing a conceived limitation of knowledge. Or it conceives clairvoyance by removing the confinement of inward thought to oneself. And so on. Most miracles are negations of natural limits. And scientistic infinity does the same thing — generally by counting endlessly. We never stop counting units of time. We never stop counting units of distance. Whenever we imagine an end to time of space — which is never really imagined, because an end of time or space is literally inconceivable — we close our unseeing eyes in order to not see what we don’t see anyway, and resume counting just a little longer, just to prove our power over the infinite.

But the infinite is precisely on the other side of countability. No amount of counting countable units can amount to infinity. It can get us just a little closer to infinity, qualitatively closer, if we start counting unlike units, producing what Ian Bogost named a “Latour litany”. Here’s a spontaneously invented example from Graham Harman: “neutrons, rabbits, radar dishes, the Jesuit Order, the Free City of Bremen, and Superman.” A sincere effort to complete that series, which also must include the list itself at every stage of completion, will — while never producing anything even approximating infinity — induce a better conception of what infinity means. As will reading and internalizing the core insight in Thomas Kuhn’s Structure of Scientific Revolutions. The closer we get to perfecting our theories, the closer we get to discovering that we must rethink that theory in some as-yet inconceivable way. Staring directly into the migrainescape of an undeniably real but as-yet inconceivable problem for one second gives us a sense of infinity that a lifetime of counting minutes cannot.

And an epiphany that changes everything all at once, followed by another epiphany that changes it again, each time bringing into existence, out of inconceivable nothingness, new species of conceivable somethingness — genesis ex nihilo — this helps us conceive the character of miracle.

Even the slightest taste of infinity, just barely enough to stop misunderstanding infinitude, is sufficient to induce exnihilism.

I’ve called mine a “metaphysics of surprise.” Perhaps the most surprising thing about this inexhaustible transcendent source of surprise is that it wants something from us, and it wants to give. We can opt out, but we should not. This is undeniably so, as our intensifying denials demonstrate.