Infinity vs unboundedness
You can have unboundedness in the sense of a computation that doesn’t stop yielding results. But you cannot take the last result of such a computation, you cannot have a computation that relies on knowing the last digit of pi before it goes to the next step → You cannot have infinity in that sense, where inifnities are about the conclusions of functions. Unboundedness means that you always get something new, unexpected, that you couldn’t have predicted from before (relation to open-endedness & computational irreducibility?).
If there was any way to get the result of an infinite computation, it could not be expressed in any mathematical language that doesn’t have contradictions (incompleteness theorems).
→ We can only build languages in which we have to assume that infinities cannot be built. Infinity is meaningless because we cannot make it.
Link to originalunboundedness of the universe
A place where anything can be expressed (universal computation) is a place where anything can happen
Computation is a metaphor for expression, but expression happens through a medium. In our universe the medium is physical reality.
Invention: When anything is possible, every end is a beginning.
The easiest way here again is code, inventing tools.
Current RL: immutable environments. Actions are about attached conditional things (mario jumps), but invention changes the outer environment and leaves behind a detached artifact (mario crafts a sword).
→ Endless possibility of detached conditional things (language is one of them).
The API of earth (particles in the ground) sucks.
→ Koding koding koding?