Date: Mar 13, 2013 10:19 AM
Author: Robert Hansen
Subject: Re: Please help me with the following question
So it seems that you are missing the point I am making. Mathematics is like magic. When some talk about magic they are talking about the tricks while a few talk about the art itself. I am talking about the art.
On Mar 13, 2013, at 1:01 AM, GS Chandy <firstname.lastname@example.org> wrote:
> Further GSC's post of Mar 13, 2013 7:43 AM (pasted below my signature for ready reference):
> The solution arrived at via the above strategy is seen (in part - the most important part is shown) at:
> http://mathforum.org/kb/message.jspa?messageID=8575196 .
> ("Still Shoveling!")
> GSC posted Mar 13, 2013 7:43 AM
>> Robert Hansen (RH) posted Mar 12, 2013 7:24 AM
>> (GSC's remarks follow):
>>> On Mar 11, 2013, at 5:26 PM, Joe Niederberger
>>> <email@example.com> wrote:
>>>> Now I have no idea what you are claiming.
>>> Let me ask you this. You don't see how there is an
>>> attribute to this problem that when you go in one
>>> direction you are losing ground and when you go in
>>> another you are gaining ground or at least holding
>>> your own (because this problem is pretty tight)?
>>> problems have this attribute. That is the "problem
>>> solving" strategy I am talking about.
>>> Bob Hansen
>> GOT IT!
>> I now understand that the strategy I had used for the
>> '12-Coin Problem" (when I had nailed it at age 10 or
>> 11 over half a century ago) was like so:
>> Step A of strategy:
>> When I tried one way, I gained ground.
>> When I tried another way, I lost ground.
>> Step B of strategy:
>> So I chose the way that helped me gain ground.
>> Step C:
>> Again, I found that,
>> - -- when I went one way, I gained ground.
>> - -- when I went the other way, I lost ground.
>> Once again, I chose the way that enabled me to gain
>> REPEAT from Step A. (ad infinitum if required).
>> The problem was solved!
>> Many thanks for these 'Helpful Hints on Strategy'.
>> I do believe all is now clear?
>> ("Still Shoveling!")