I don't know if in the hypothesis of simulation, the conflict of Countable and Uncountable has been considered. When we're talking about a machine with an infinite power of computation, we're considering a TM which has a countable number of states, even if it's running an undecidable problem to produce the infinite possible outputs and even we're considering time to be infinitely compressed to allow for the infinity of the power of our machine, at the end the possible states of a TM is Countably infinite.
But as one might notice we have some continuous and therefore Uncountable parameters in our universe, like the measures of distance which are not reducible to countable ones even considering the concept of precision. They are naturally Uncountable. Now the question is: can that kind of infinitely powerful machine simulate this infinite reality? Am I missing a point? -- Mohsen Ravanbakhsh, --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to email@example.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---