On Fri, Dec 27, 2013 at 10:42 PM, Stephen Paul King < [email protected]> wrote:
> Hi Jason, > > "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. > " > > this also captures every instance of random numbers as well. > It is not clear to me what "random" means in arithmetical truth. Randomness can appear from the perspectives of observers, but I don't see how it can arise in arithmetic. > What method is deployed to ensure that a program is not just a "regular" > random number and not some random number prefixed on a "real" halting > program? > It don't see how it makes a difference. > > Truth is not a measure zero set, or is it? > I don't understand this question.. Could you clarify? Jason > > > > On Fri, Dec 27, 2013 at 10:09 PM, Jason Resch <[email protected]>wrote: > >> >> >> >> On Fri, Dec 27, 2013 at 9:31 PM, Stephen Paul King < >> [email protected]> 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 >> [email protected]. >> To post to this group, send email to [email protected]. >> 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 > > [email protected] > > 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 [email protected]. > To post to this group, send email to [email protected]. > 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
