Intersting. Yet, that does not violate the Church-Thesis, even if very useful FAPP. But such computations arise in arithmetic, either directly, or through a infinite sequence of approximations. If all decimals of the analog phenomenon needs to be taken into account, then we are out of my working hypothesis, and even evolution theory becomes wrong, as evolution and life becomes sequences of miracles. But the goal of the authors here is not learning anything in metaphysics, just doing efficacious machine. In that case mechanism explains the plausible necessity of such moves, including quantum computations (which also do not violate Church’s thesis). Bruno > > > -- > 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 > <mailto:everything-list+unsubscr...@googlegroups.com>. > To post to this group, send email to email@example.com > <mailto:firstname.lastname@example.org>. > Visit this group at https://groups.google.com/group/everything-list > <https://groups.google.com/group/everything-list>. > For more options, visit https://groups.google.com/d/optout > <https://groups.google.com/d/optout>. -- 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 email@example.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.