Hi Alberto G. Corona 

Your concept is incomplete, because geometry is what Plato called forms,
which he gave the Greek name of ideas.  So you have a thought without a thinker.
  


----- Receiving the following content ----- 
From: Alberto G. Corona 
Receiver: everything-list 
Time: 2013-02-04, 15:09:16
Subject: Re: Comp: Geometry Is A Zombie


I think that geometry is a form of accelerated calculation and presentation of 
distances and angles by/in the mind, of the external mathematical reality.?


Within this mental geometrical representation, ?e locate the rest of the 
elements of the mathematical reality that are relevant for survival, they are, 
the qualia. And this is what whe perceive as "reality", that apears to be "out 
there".


I mean 3D geometry. any other geometry either is mentaly transated to 3D by 
projections or else, must be calculated non intuitively (non accelerated) ?y 
means of algebraic formulas.


However, I imagine that an advanced robot with fast spatial processing (based 
of algebraic formulas) would pass the turing test when asked about geometrical 
figures in space. It can even answer: "geometry is intuitive form me. My 
father-engineer gave me a good floating point coprocessor and good spatial 
algorithms.


but there is a self reference when we try to imagine how the brain or a 
computer process geometry, and we imagine them embedded in the space and time 
that they create, which is not a correct intuition. we must imagine it in no 
time and no space. IMHO.



2013/2/4 Craig Weinberg <whatsons...@gmail.com>



On Monday, February 4, 2013 12:01:38 PM UTC-5, Bruno Marchal wrote:


On 01 Feb 2013, at 22:09, Craig Weinberg wrote:


I have mentioned this before, but it keeps haunting me.

If geometry did not exist.

Could you invent it with mathematics alone?

And if you could do that...

Why would you?

For instance: A triangle can be defined mathematically in different ways, but 
without the inherently geometric presentations of lines and angles, it seems 
that all you could generate is a description of a set of values which have the 
same relation as the values which would be present if a geometric shape were 
measured or sampled from optical or tactile detections.

That is not to say that the list of mathematical definitions which satisfy 
triangularity (a^2 + b^2 = c^2 for example), even an exhaustive list, would 
suggest anything like the visible presence of a shape. All of the mathematics 
can be done completely in the dark, and no realism of points, plots, displays, 
manifolds, topologies, etc, ever need to literally appear to anything. 


We don't know that.

We don't know that we don't know that.

Craig 



Bruno






So why do they?

Craig





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http://iridia.ulb.ac.be/~marchal/






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