Try this thought experiment. Imagine that you never saw the original problem. I show you the original problem and then I show you ten different visualizations, including the one you came up with (can I say came up with?). I ask you to tell me which one has the best chance of solving the problem. I would think that there is a high probability that you would pick the one you came up with.
On Jun 19, 2013, at 12:07 PM, Joe Niederberger <firstname.lastname@example.org> wrote:
>> I was proving that it doesn't matter if the construction is visual, symbolic or just verbose sentences. Those are just the props. To be mathematics, whatever you are doing has to be justified by a reasonable mathematical argument. > > Maybe what bugs you is that the picture doesn't have a "sequence". The relationships are just all displayed and interrelate all at once. But that's closer to the actual content of mathematical abstractions. > > Logic or argument is just one way of taking a tour around those concepts, and the trip can vary somewhat in its sequence from one tour guide to another. You should know that Godel proved you can't get a tour guide to take you everwhere. Math != logical deduction. > > Cheers > Joe N