Eudamonic Pie anyone?

https://en.wikipedia.org/wiki/The_Eudaemonic_Pie

The eudaemonic pie - bookcover.jpg <https://en.wikipedia.org/wiki/File:The_eudaemonic_pie_-_bookcover.jpg>

It seems that (some) roulette wheels (being imperfect, analog devices) can and have been predicted statistically.... by NM boys born and bred... This was all still a fresh story when I met Doyne (and eventually Norm) back in the early 80s.
On 12/12/16 12:23 PM, Roger Critchlow wrote:
Seems like the abduction step would be assuming that there are loaded wheels before you have any empirical evidence.

A wheel could be fat-tailed, tending to longer runs, without being biased toward any particular numbers. There would be an incentive to bet on a run continuing, but no particular number would be more likely to have long runs. That wouldn't be a loaded wheel in the usual understanding of crooked gambling devices. But it would be the sort of device to encourage gamblers to believe they have a hot hand.

-- rec --


On Mon, Dec 12, 2016 at 2:06 PM, Frank Wimberly <wimber...@gmail.com <mailto:wimber...@gmail.com>> wrote:

    Mathematical induction is a method for proving theorems.
     "Scientific induction" is a method for accumulating evidence to
    support one hypothesis or another; no proof involved, or possible.

    Frank

    Frank Wimberly
    Phone (505) 670-9918 <tel:%28505%29%20670-9918>

    On Dec 12, 2016 11:44 AM, "Owen Densmore" <o...@backspaces.net
    <mailto:o...@backspaces.net>> wrote:

        What's the difference between mathematical induction and
        scientific?
        https://en.wikipedia.org/wiki/Mathematical_induction
        <https://en.wikipedia.org/wiki/Mathematical_induction>

           -- Owen

        On Mon, Dec 12, 2016 at 10:44 AM, Robert J. Cordingley
        <rob...@cirrillian.com <mailto:rob...@cirrillian.com>> wrote:

            Based on https://plato.stanford.edu/entries/peirce/#dia
            <https://plato.stanford.edu/entries/peirce/#dia> - it
            looks like abduction (AAA-2) to me - ie developing an
            educated guess as to which might be the winning wheel.
            Enough funds should find it with some degree of certainty
            but that may be a different question and should use
            different statistics because the 'longest run' is a poor
            metric compared to say net winnings or average rate of
            winning. A long run is itself a data point and the premise
            in red (below) is false.

            Waiting for wisdom to kick in. R

            PS FWIW the article does not contain the phrase
            'scientific induction' R


            On 12/12/16 12:31 AM, Nick Thompson wrote:

            Dear Wise Persons,

            Would the following work?

            */Imagine you enter a casino that has a thousand roulette
            tables. The rumor circulates around the casino that one
            of the wheels is loaded. So, you call up a thousand of
            your friends and you all work together to find the loaded
            wheel.  Why, because if you use your knowledge to play
            that wheel you will make a LOT of money.  Now the problem
            you all face, of course, is that a run of successes is
            not an infallible sign of a loaded wheel.  In fact, given
            randomness, it is assured that with a thousand players
            playing a thousand wheels as fast as they can, there will
            be random long runs of successes.  But the longer a run
            of success continues, the greater is the probability that
            the wheel that produces those successes is biased. So,
            your team of players would be paid, on this account, for
            beginning to focus its play on those wheels with the
            longest runs. /*

            FWIW, this, I think, is Peirce’s model of scientific
            induction.

            Nick

            Nicholas S. Thompson

            Emeritus Professor of Psychology and Biology

            Clark University

            http://home.earthlink.net/~nickthompson/naturaldesigns/
            <http://home.earthlink.net/%7Enickthompson/naturaldesigns/>



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