> On 3 Jun 2020, at 21:47, 'Brent Meeker' via Everything List > <[email protected]> wrote: > > > > On 6/3/2020 3:26 AM, Lawrence Crowell wrote: >> On Tuesday, June 2, 2020 at 12:34:37 PM UTC-5, Brent wrote: >> >> >> On 6/2/2020 2:49 AM, Bruno Marchal wrote: >> >> On 1 Jun 2020, at 22:43, 'Brent Meeker' via Everything List >> >> <[email protected] <javascript:>> wrote: >> >> >> >> >> >> >> >> On 6/1/2020 2:08 AM, Bruno Marchal wrote: >> >>> Brent suggest that we might recover completeness by restricting N to a >> >>> finite domain. That is correct, because all finite function are >> >>> computable, but then, we have incompleteness directly with respect to >> >>> the computable functions, even limited on finite but arbitrary domain. >> >>> In fact, that moves makes the computer simply vanishing, and it makes >> >>> Mechanism not even definable or expressible. >> >> That's going to come as a big shock to IBM stockholders. >> > >> > Why? On the contrary. IBM bets on universal machine >> >> No, they bet only on finite machines, and they will be very surprised to >> hear that they have vanished. >> >> Brent >> >> For the most part computers are meant to run various algorithms that solve >> some restricted set of problems, say business applications. We use them >> largely as tools. > > Mathematics is largely a tool. My pure mathematics friends over on math-fun > seem to have most of their fun on Mathematica.
Of course, this is close to Aristotelian theology. It assumes that there is something which is not mathematical in some reality. A platonism or a pythegaorean think that he physical universe is but a tool, invented by the numbers to figure out what happens, and what is real. But once you grasp that all computations exists in arithmetic (or more exactly, that they are enabled by the arithmetical true relations), even without Mechanism, the charge are reversed. It is those who claim (in metaphysics, not in physics) that there is a primitive universe who have the task to provide evidence. I have given the way to test this, and, thanks to QM, we can say that there are not yet any evidence found for a primitive physical universe. On the contrary, nature seems to obey exactly to what is needed for mechanism to be true. Then, if we assume furthermore Mechanism, there is no more choice in this matter. Physics cannot be the fundamental science, it reduces to arithmetic (or any model of any Turing equivalent machinery) “seen-from inside”. Bruno > > Brent > > -- > 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] > <mailto:[email protected]>. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/55f184ef-663c-1acb-af92-a9db0346c4c1%40verizon.net > > <https://groups.google.com/d/msgid/everything-list/55f184ef-663c-1acb-af92-a9db0346c4c1%40verizon.net?utm_medium=email&utm_source=footer>. -- 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/22C3F6D1-890C-413B-A316-3E197100196F%40ulb.ac.be.
