With math if it is an analog or continuous equation I try to see it in my head and it looks like a 3D or higher dimensional mixed liquid of different color paints. A color may correspond to a variable in the equation or mixtures of colors are intersecting Cartesian graphs. Fuzz is fuzz like probabilities. Digital or discrete like rings, fields I have to use symbols but the symbols are constructed out of binary to allow as many as possible and they can be 3D. Then throwing some cellular automata in there with some fractals and genetic paint thinner and it starts getting real messyJ
But if I look at an equation like a Banach space equation what I see is in black and white with lower and higher density fuzz regions changing as I go from expression to expression. Going further, sometimes I will lucid dream and in the dream I can see dizzyingly complex patterns and designs and zooming into these sometimes I will just see the math fibrillating with astonishing complexity. Sound weird? My theory is that in the mind there are massive amounts of advanced math occurring continuously with everybody. Mathematicians are able to get society's particular symbology systematically working with it. But there are other symbologies and representational schemes. John From: Benjamin Goertzel [mailto:[EMAIL PROTECTED] Subject: Re: [agi] The Grounding of Maths On 10/12/07, a <[EMAIL PROTECTED]> wrote: Benjamin Goertzel wrote: > > So then you're reduced to arguing that mathematicians who don't feel > like they're visualizing when they prove things, are somehow > unconsciously doing so. I meant visually manipulating mathematical expressions. Well, it's hard to put into words what I do in my head when I do mathematics... it probably does use visual cortex in some way, but's not "visually manipulating mathematical expressions" nor using visual metaphors... ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?member_id=8660244&id_secret=53167792-59e7aa
