Actually for the last few days I've been thinking about how humans can even come up with the idea of infinity and infinitesimal. If we are so "quantized" and finite as regards "atoms" and such -- making up a finite-sized brain of finite numbers of atoms -- then how did human minds ever conceive of "infinity" as a "defined" concept, pun fully intended. That got me to thinking about the atoms themselves with their electron shells S,P,D,F etc. As I understand the explanation, (-)electrons, in their so-called orbits around the (+)protons and neutrons of the nucleus, actually approach protons to the point that the potential energy between them goes to negative infinity, while the kinetic energy goes to positive infinity. This ensures that electron and proton will not actually combine on their own. So, if this is accurate, then this would be a powerful example of actual infinity in continual operation in our very physical makeup. This wouldn't lead to conscious perception of infinity, necessarily, but it could be an indicator of the kinds of infinity of reality that we continually encounter, even when much of our perception relates to the finite.
I think that's a brilliant insight, William, and in accord with what Thiese-Kafatos present in that paper. I've just linked in a post to @Soupie a second paper by these two scientists/scholars that I think you will enjoy.
Could I ask any of you regulars on this thread (especially the Triumvirate) if you know about the following experiment that I was led to believe was actually performed. Supposedly glasses were made that caused the wearer to see everything upside down. The subjects were supposed to wear the glasses for some length of time, and surprisingly, after a certain amount of time, the mind actually inverted what was perceived through the glasses. Later, after the subjects stopped wearing the glasses their "normal" vision was inverted for a while, until, again, the mind reverted it to the proper orientation. This might be one of those urban myths, but I am pretty sure that some long time ago I read about it in a respectable publication, I think. Perhaps I err . . .
I remember reading about that experiment and I think it attests to the openness and plasticity of our primary experiential interface with our locally lived environments as well as to the persistence of memory embedded in embodied consciousness. This experiment seems to me to indicate that the neural nets of the brain catch up with what experience itself has first provided. I hope one of us can find a link describing that experiment and its interpretation so we can discuss this further.