On Sat, Jul 20, 2019 at 9:41 AM Philip Thrift <[email protected]> wrote:
*> So where is there a Turing machine with an actual infinite tape?* > There are some things that a Turing Machine can not calculate and nothing else can either, it's been proven that the 1919th Busy Beaver Number can not be calculated even though it's known that the number exists and to is finite. Even the 5th Busy Beaver is probably non computable, we only know the first 4. For a computer to finish a calculation it must halt, so for every Turing Machine that has ever actually performed a calculation only a finite amount of tape has been used. If you programed a Turing Machine to find the 1919th Busy Beaver Number it would indeed use up an infinite amount of tape, but even then it wouldn't find that number. John K Clark -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1YhpQDQHnDeDbkmC5ifLtyAkFovECYU0271ZDLOXsQJQ%40mail.gmail.com.

