I apologize but it seems that none of us has time to explain other people's ideas to each other or to read their papers for ourselves.

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On Fri, Sep 16, 2016 at 11:27 AM, Bruno Marchal <marc...@ulb.ac.be> wrote: > > On 16 Sep 2016, at 03:27, Stephen Paul King wrote: > > The idea is to think of computations as discrete, they do one thing: > process one algorithm and halt. > > > or not halt. You limit yourself to halting computation. > > If each halting computation is simpler than arbitrary computations, it > happens that the notion of halting computations is more complex than the > notion of arbitrary computations. > > For example, there is no universal halting machine, and there is no UD > computting all and only all halting computations. > > The only way to generate all halting computations necessitate the > generations of all computations, the halting one and the non halting. There > is no algorithmic means to separate the halting machine from the non > halting one. > > yet, the halting computations, when you get them all, is what structure > the "measure space", and that is exploited to get the measure one case by > the intensional ("material") variant of the self-reference logic, > restricted to the "halting computations", modeled by the true sigma_1 > sentences. > > > > Obviously I am not talking about Turing machines... > > > ? > > We seem to miss a precise idea of what you are talking about, I'm afraid. > > Bruno > > > > > > On Thu, Sep 15, 2016 at 9:03 PM, Brent Meeker <meeke...@verizon.net> > wrote: > >> >> >> On 9/15/2016 4:29 PM, Stephen Paul King wrote: >> >> >> >> On Thu, Sep 15, 2016 at 6:47 PM, Brent Meeker <meeke...@verizon.net> >> wrote: >> >>> >>> >>> On 9/15/2016 11:03 AM, Stephen Paul King wrote: >>> >>> I get that and buy it too, Brent. Platonia is the "flat" Complete >>> version, I am looking for the infinite tower of incomplete yet consistent >>> theories >>> >>> >>> I don't understand what you mean by that. I assume "theories" refers to >>> axiomatic systems. If I take one such system, like arithmetic, I can keep >>> adding the unprovable Godel sentences as axioms and so create an unbounded >>> "tower" of systems. Is that what you mean? >>> >> >> Yes, sorta. >> >> >> >>> >>> >>> and trying to make sense of computational languages that could use those >>> theories. Remember that computers do not need to be Turing Complete if they >>> only need to compute one algorithm efficiently and correctly. >>> >>> >>> That's the view of an algorithm as computing a function; so given an >>> input there is a certain correct output. But the UD doesn't have any input. >>> >> >> It has itself as an input. :-P >> >> >> I suppose you can think of it as a null input. But it also has not >> output. It doesn't halt. So I'm not sure what you mean by computing one >> algorithm efficiently and correctly. >> >> Brent >> >> -- >> You received this message because you are subscribed to a topic in the >> Google Groups "Everything List" group. >> To unsubscribe from this topic, visit https://groups.google.com/d/to >> pic/everything-list/FnHZFBf-Acw/unsubscribe. >> To unsubscribe from this group and all its topics, 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. >> > > > > -- > > Kindest Regards, > > Stephen Paul King > > Senior Researcher > > Mobile: (864) 567-3099 > > stephe...@provensecure.com > > http://www.provensecure.us/ > > “This message (including any attachments) is intended only for the use > of the individual or entity to which it is addressed, and may contain > information that is non-public, proprietary, privileged, confidential and > exempt from disclosure under applicable law or may be constituted as > attorney work product. 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