On 17 Sep 2012, at 22:25, meekerdb wrote:

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But did anybody think z' = z^2 + c was interesting before that?

`Yes. This was known by people like Fatou and Julia, in the early 1900.`

`Iterating analytical complex functions leads to the Mandelbrot fractal`

`sets, or similar.`

`The computer has made those objects famous, but the mathematicians`

`know them both from logic (counterexamples to theorem in analysis,`

`like finding a continuous function nowhere derivable), or from dynamic`

`system and iteration.`

`If you iterate the trigonometric cosec function on the Gauss plane C,`

`you can't miss the Mandelbrot set.`

`In nature too as the following video does not illustrate too much`

`seriously :)`

http://www.youtube.com/watch?v=JGxbhdr3w2I Bruno

Bretn On 9/17/2012 1:17 PM, Terren Suydam wrote:I would say computers were the tool that allowed us to see it, like a microscope allowed us to see bacteria, and a telescope stars.On Mon, Sep 17, 2012 at 3:14 PM, meekerdb<meeke...@verizon.net>wrote:On 9/17/2012 10:36 AM, Terren Suydam wrote: Rex, Do you have a non-platonist explanation for the "discovery" of theMandelbrot set and the infinite complexity therein? How can youmakesense of that in terms of the constructivist point of view How can you make sense of it otherwise. The Mandelbrot set is onlyinteresting because it became possible to construct it by use ofcomputers.Brent that you are (I think) compelled to take if you argue against arithmetical platonism? It seems obvious that all possible intelligences woulddiscover the same forms of the Mandelbrot so long as they iteratedonz' = z^2 + c, but maybe I am missing the point of your argument. Terren --You received this message because you are subscribed to the GoogleGroups"Everything List" group.To post to this group, send email to everything-list@googlegroups.com.To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.--You received this message because you are subscribed to the GoogleGroups "Everything List" group.To post to this group, send email to everything-list@googlegroups.com.To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com.For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.

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