A tradition in fractals but not in formal Mathematics



A statement of fractal folk ways:
Unlike other parts of Mathematics it has become a tradition
to name an observed set as you please ( there are so many of them
that there never seems to be enough names!).
In the tradition of the Mandelbrot set many very pretty sets found by fractal explorers are named for themselves.
Mostly because fractal involve a great number of "Amateur Mathematicians" who don't know "the rules"( unwritten prohibition) in formal mathematics that you don't name things for yourself.
I and Jules Ruis both have named something we discovered for ourselves
and I know that we aren't alone in that. Artur Jasinski named some polynomials and their sequences that he discovered after himself
and was openly and viciously attacked by a Mathematician.
Other than in the fractal community "Amateur Mathematicians"
are openly ridiculed and discouraged. Their papers are almost never published in any journal and any ideas they have that may be new and not by the "book" are attacked ( even if it turns out later that
they are already published by someone else with a PHD).
My own experience is that have I have discovered some remarkable things by typing errors or by the fact that I didn't know "the rules".
I think one of the most important spirits of the grass roots fractal movement long term, is tolerance of both ignorance and difference
in the community.
Many in the fractal community are "self-trained" "Amateur Mathematicians" who tend to learn as they go.
As a result we actually encourage "off the wall" ideas
in the hope that they might shed some new light
as Dr. Mandelbrot has done.
We also embrace Mathematical knowledge in it's formality as well,
just not it's rigid self-righteousness and outmoded arrogance and class structure.
Roger Bagula
.



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