On Fri, Dec 27, 2013 at 11:09 PM, Stephen Paul King < stephe...@provensecure.com> wrote:

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> Hi Jason, > > "It is not a question of whether or not that binary string refers to > anything that is true or not, only what its particular value happens to > be." No no no! We can not make statements without showing how their proof > are accessible! > > The proof is straight forward. Run the UD and see what the state is. Are you objecting that it does not have a definite value because you or I are not capable of computing it? Did the 100th digit of Pi not exist until the first human computed it? > Consider the i-th through j_th values of pi's expansion in binary. If it > is a finite string, how do we know that it is a Turing machine program? > > All integers can be mapped directly to Turing machine programs. Consider Java: it uses a byte-code where every byte is an instruction for the Java virtual machine. Every string of bytes can therefore be considered as a sequence of instructions for the Java virtual machine to execute. Jason > > > On Fri, Dec 27, 2013 at 11:06 PM, Jason Resch <jasonre...@gmail.com>wrote: > >> >> >> >> On Fri, Dec 27, 2013 at 10:44 PM, Stephen Paul King < >> stephe...@provensecure.com> wrote: >> >>> Hi Jason, >>> >>> "The first, second, 10th, 1,000,000th, and 10^100th, and 10^100^100th >>> state of the UD's execution are mathematical facts ..." Umm, how? Godel >>> and Matiyasevich would disagree! If there does not exist a program that can >>> evaluate whether or not a UD substring is a faithful representation of a >>> "true theorem", then how is it "a fact"? >>> >>> >> The mathematical fact to which I am referring is only a basic and >> straight-forward statement like "the binary representation of the state of >> UD after executing 100..00th steps is '1010101111010...0010". It is not a >> question of whether or not that binary string refers to anything that is >> true or not, only what its particular value happens to be. >> >> Jason >> >> >>> >>> On Fri, Dec 27, 2013 at 10:09 PM, Jason Resch <jasonre...@gmail.com>wrote: >>> >>>> >>>> >>>> >>>> On Fri, Dec 27, 2013 at 9:31 PM, Stephen Paul King < >>>> stephe...@provensecure.com> wrote: >>>> >>>>> Hi Jason, >>>>> >>>>> Could you discuss the "trace of the UD" that LizR mentioned? How is >>>>> it computed? Could you write an explicit example? I have never been able >>>>> to >>>>> grok it. >>>>> >>>>> >>>> Bruno has written an actual UD in the LISP programming language. I >>>> will write a simple one in pseudo-code below: >>>> >>>> List listOfPrograms = new List[]; # Empty list >>>> int i = 0; >>>> while (true) >>>> { >>>> # Create a program corresponding to the binary expansion of the >>>> integer i >>>> Program P = createProgramFromInteger(i); >>>> >>>> # Add the program to a list of programs we have generated so far >>>> listOfPrograms.add(P); >>>> >>>> # For each program we have generated that has not halted, execute >>>> one instruction of it >>>> for each (Program p in listOfPrograms) >>>> { >>>> if (p.hasHalted() == false) >>>> { >>>> executeOneInstruction(p); >>>> } >>>> } >>>> >>>> # Finally, increment i so a new program is generated the next time >>>> through >>>> i = i + 1; >>>> } >>>> >>>> >>>> Any program, and whether or not it ever terminates can be translated to >>>> a statement concerning numbers in arithmetic. Thus mathematical truth >>>> captures the facts concerning whether or not any program executes forever, >>>> and what all of its intermediate states are. If these statements are true >>>> independently of you and me, then the executions of these programs are >>>> embedded in arithmetical truth and have a platonic existence. The first, >>>> second, 10th, 1,000,000th, and 10^100th, and 10^100^100th state of the UD's >>>> execution are mathematical facts which have definite values, and all the >>>> conscious beings that are instantiated and evolve and write books on >>>> consciousness, and talk about the UD on their Internet, etc. as part of the >>>> execution of the UD are there, in the math. >>>> >>>> Jason >>>> >>>> >>>> -- >>>> 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/topic/everything-list/sqWzozazMg0/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 http://groups.google.com/group/everything-list. >>>> For more options, visit https://groups.google.com/groups/opt_out. >>>> >>> >>> >>> >>> -- >>> >>> 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. If you are not the intended recipient, you are >>> hereby notified that any use, dissemination, distribution, or copying of >>> this communication is strictly prohibited. If you have received this >>> message in error, notify sender immediately and delete this message >>> immediately.” >>> >>> -- >>> 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 http://groups.google.com/group/everything-list. >>> For more options, visit https://groups.google.com/groups/opt_out. >>> >> >> -- >> 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/topic/everything-list/sqWzozazMg0/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 http://groups.google.com/group/everything-list. >> For more options, visit https://groups.google.com/groups/opt_out. >> > > > > -- > > 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. If you are not the intended recipient, you are > hereby notified that any use, dissemination, distribution, or copying of > this communication is strictly prohibited. If you have received this > message in error, notify sender immediately and delete this message > immediately.” > > -- > 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 http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- 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. 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