The possibility of the infinite division of spacetime is very real, as you say, it may not be granular.

I would offer the following thoughts on that subject:

1. There seems to be increasing reason to believe that spacetime might be granular, so that possibility has to be taken seriously.

2. QM appears to be the “theory of the very small”; why should spacetime be exempted from its division into quanta?

3. If, below the Planck length, measurement is no longer meaningful, does this not take sub-Planck measurement out of the realm of science?

BTW, in Part 2, I propose to look a little more at the scientist’s idea of infinity, then, perhaps, venture into the realm of the philosopher.

There never was nothing.