The way your spaceship analogy works in TTE, is that the random real number would be some kind of radio source that gets listened to by the two ships. Also, the

The way your spaceship analogy works in TTE, is that the random real number would be some kind of radio source that gets listened to by the two ships. Also, the way TTE works, there are diminishing returns from listening to the radio source for longer and longer time - this is because all functions computable in TTE are continuous, and therefore have diminishing returns from knowing their input to greater and greater accuracy (this is exactly the difference between continuous functions and discontinuous functions). Therefore you only have to listen to the radio source for some time before saying "Yep, I'm happy, I know the output of my function to within epsilon". Even the value of Pi in physics only needs to be known to a small number of decimal places - which suggests that all functions that are "physically computable" are continuous, further suggesting how natural TTE is. Again, my comments are getting downvoted by ignoramuses. This is not the first time.