Visualspatial intelligence is required for almost anything.
I'm sorry. This is all pure, unadulterated BS. You need spatial
intelligence (i.e. a world model). You do NOT need visual anything. The
only way in which you need visual is if you contort it's meaning until it
effectively means spatial. Visual means related to vision. If you can't
tell me why vision allows something that echo-location quality hearing does
not (other than color perception -- which is *NOT* necessary for
intelligence), then you don't need visual.
----- Original Message -----
From: "a" <[EMAIL PROTECTED]>
To: <[email protected]>
Sent: Friday, October 12, 2007 5:13 PM
Subject: Re: [agi] The Grounding of Maths
If you cannot explain it, then how do you know you do not do that? No
offense, but autistic savants also have trouble describing their process
when they do math. They have high visuospatial intelligence, but low
verbal. Mathematicians have a high Autism Spectrum Quotient. [1]
Mathematicians have trouble describing their process because of their vast
knowledge and experience of math. Their experience of mathematics makes it
intuitive, so it is hard to explain their visual manipulation process.
I am almost certain that visuospatial intelligence is required to do
mathematics. A blind person without internal visuospatial intelligence
would be considered retarded. Visualspatial intelligence is required for
almost anything.
1. http://en.wikipedia.org/wiki/Autism_Spectrum_Quotient
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.
I believe you, but that is not what I nor many other mathematicians do..
Mathematicians
commonly have high visuospatial intelligence, that's why they have
high IQs.
Well if you look at Hadamard's "Psychology of Mathematical Invention" or
more recent works in the area, you'll see there's a lot more diversity to
the ways mathematicians approach mathematical thought...
Ben
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