For the sake of having more fun (an essential difference between the mathematician’s worldview and the physicist’s worldview), we are ignoring quantum theory in this project.
With it, there is only one size of infinity manifested in physical reality -- countable infinity.
Without it, there are at least two.
"What does it mean, to have different sizes of infinity? What does it mean to you? We've only shown how mathematicians answer the first question. The fascinating question is the second one."
It is possible, however, that we are confusing our sizes of infinity.
As discussed in the first module, the best that digital technology can do is grow towards countable infinity.
As discussed in this module, life itself comprises of a larger and deeper size of infinity.
The idea that, given enough time, digital life will grow endlessly and catch up to lived life, may simply be a misunderstanding of how big countable infinity is compared to breathed infinity.