Re: Watershed (was: Finding names in values)

From: Todd S. Greene (tgreene@usxchange.net)
Date: Tue Jul 03 2001 - 22:50:53 EDT

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    Hi, Vernon.

    Tell you what. I will meet you halfway. Professionally, I'm a computer
    programmer, and my language of choice is C++. If you will draw up the
    algorithm in logical form and present it to me, I will write the C++
    code for it (going for "compatible code" that can be compiled on
    platforms other than just Win32 platforms) and offer this up for people
    to compile and run on their own systems. They can then run all kinds of
    texts through the algorithm and then we will know what the results are
    of this algorithm.

    Then we won't have to talk about unverified hypothetical probabilities.
    We'll be talking about actual cases and actual results, and there won't
    be any possibility of the "shell game" principle.

    Regards,
    Todd S. Greene
    http://www.geocities.com/Athens/Thebes/7755/

    ###### Vernon Jenkins, 7/3/01 6:54 PM ######
    John and David,

    I get the strong impression that this playful diversion is being
    seriously regarded in some quarters as an effective counterpoise to the
    emergence of 'pi' and 'e' (and much else) from the pages of scripture;
    that sensing 'a kill', 'the vultures' are gathering. So, since you
    gentlemen are clearly intent on pressing the matter, let's just examine
    this 'bauble' in more detail.

    John wrote:

    > Now the above is, I believe, true, and verifiable by anyone, at least
    > in principle. The value of n is left as an exercise to the serious
    > student of such things; it (the value of n) is probably "divine" also.
    > Note that my little exercise is clearly "better" than that of Vernon's
    > since I have no need of introducing an arbitrary mathemetical
    > transformation.

    I observe:

    (a) You require a pre-specified string of 26 digits to occur, taken
    from a stream of what you believe to be random digits; logical as this
    may sound, I don't believe it has been proved mathematically, and must
    therefore represent an unproven assumption.

    (b) The probability of any 1 digit being right is 1/10. Hence for a
    string of 26 it is 10^-26.

    (c) Hence the expected order of magnitude for the number n is 10^26.

    (d) On the basis that the sequence is truly random, then one would
    expect the string 'johnwburgeson' (along with 'vernonjenkins' and the
    rest) to turn up not just once but infinitely many times, at an average
    separation of around 10^26 digits. Clearly, no significance can be
    attached to this observation; it is no different from the million
    monkeys producing the works of Shakespeare, ( and 'Shakespeare' will
    also turn up in the digits of pi, given the randomness assumption).

    (e) Hence even if the universe were 15 billion years old (as you
    clearly believe), and someone started the calculation right at the
    beginning, they would not have sufficient time to determine the value of
    n for even the first occurrence of 'johnwburgeson'.

    (f) Add the extra names immediately afterwards, and the numbers will
    exceed scientists expectations of the entire lifetime of the universe
    (with "georgehammond" and "georgemurphy" tacked on as well, the number n
    becomes of order 10^78). Scientists believe the lifetime of the
    universe from Big Bang to Heat Death to be 10^52 years - a drop in the
    ocean when trying to compute 10^76 digits of pi.

    (g) My mathematical transformation initially appears arbitrary, but is
    verified by the same formula producing an approximation to e of similar
    accuracy in John 1:1. The approximations are taken from a finite domain,
    rather than an infinite one, and also occur at significant positions,
    right at the beginning of the Bible, and right at the beginning of the
    Gospel of John.

    (h) Your "arbitrary constant" n is to all intents and purposes
    incalculable. "In principle" appears to mean, "given orders of
    magnitude longer than the age of the universe". My formula, on the
    other hand is specified and verified independently.

    John and David, if you still consider my formula to be arbitrary, then
    perhaps you would like to combine forces and produce an arbitrary
    formula that turns the _first_ 26 digits of pi to a representation of
    "vernonjenkins". Here are the digits: 3 14159 26535 89793 23846 26433.
    The formula must be of similar simplicity to mine and must derive from
    the "given" order of the letters in the alphabet.

    Bon voyage! I look forward to your response.

    Regards,

    Vernon



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