On Sat, Apr 21, 2018 at 5:10 PM, Telmo Menezes <te...@telmomenezes.com> wrote:
> Turing machines don’t need infinite tape, they need sufficient tape, >> >> if you start to run out of tape then add more, > > > *> And for the general case there will be instances where you always > need more.* Any calculation will ALWAYS require only a *finite* amount of tape, if more tape is ALWAYS required then the problem can not be calculated . > > > Non-Turing universal machines can perform some computations. Even > > useful ones, for sure. > Well..., I admit none of the 64 possible one state Turing Machine is universal and none of the 20,736 possible two state Turing Machines is either, and I admit even a one state machine could perform useful calculations, but if you know how to make a one state machine then it is a trivial matter to make a N state machine, and that is universal. And a one state machine is as simple as things get, anything simpler can't calculate anything. > > Computations realized in the physical world will always stop, I agree they will always stop but they will not always produce an answer. > > > * If you apply to Turing the same demands that you apply to Bruno, you > can only conclude that Turing was a moron for* * working on mathematical models that correspond to machines that > cannot exist.* The difference is a Turing Machine in the real physical world can very often make calculations, often enough to create a trillion dollar industry , and Turing told us exactly how to build such a device, but Bruno's "Löbian machine" can NEVER make a calculation in the real physical world because Bruno has no idea how to make one. > > > These machines are finite approximations of the machine that Turing > > defined, A Turing Machine exists in the real physical world that can calculate 2+2 and that machine has no need to be infinite and the answer it produces is exact not approximate. But Bruno can't even tell how to build a "finite approximation" of a Löbian machine in the real physical world. 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
