On Tue, Sep 4, 2012 at 1:10 PM, William R. Buckley <bill.buck...@gmail.com>wrote:

While at any moment the tape may be finite, that it can at need grow is the > fundamental notion of infinite. > No, the fundamental notion of the infinite is that you can make a one to one correspondence with a proper subset of itself. > The net result of Turingâ€™s specification is that the tape is infinite > If the machine comes to a halt then a finite amount of tape is sufficient to get its work done, if it does not halt then even a infinite amount of tape would not be sufficient. Turing proved that there is no general way to tell in advance one case from the other. John K Clark -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.