What you describe is not a visualization, but the "silent inner speech".
http://en.wikipedia.org/wiki/Lev_Vygotsky#Thinking_and_Speaking

On 10/12/07, a <[EMAIL PROTECTED]> wrote:
> Benjamin Goertzel wrote:
> >
> > 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...
> I can completely describe. I completely do mathematics by visually
> manipulating and visually replacing symbols with other symbols. I also
> do mathematical reasoning and theorem proving with that. Mathematicians
> commonly have high visuospatial intelligence, that's why they have high IQs.
>

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