Re: Re: Comp: Geometry Is A Zombie

2013-02-06 Thread Alberto G. Corona
2013/2/5 Roger Clough rclo...@verizon.net

  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.



Yes, the greeks did not conceive an empty space without forms. For them it
was the forms what created the space. They did no studied space geometry
but the geometry of the forms. They did not conceived the infinite space.
They don´t liked the concept, According with Spengler, this concept came
from the nordic mithology and solidified in the Gothic architecture.

The greek concept is more primitive and therefore, is much more intuitive
and natural, because it descries space by  what it is for: to perceive
things and appreciate distances, proportions and shapes.



 - Receiving the following content -
 *From:* Alberto G. Corona agocor...@gmail.com
 *Receiver:* everything-list everything-list@googlegroups.com
 *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, 爓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) 燽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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Re: Re: Comp: Geometry Is A Zombie

2013-02-06 Thread Craig Weinberg


On Wednesday, February 6, 2013 5:13:03 AM UTC-5, Alberto G.Corona wrote:




 2013/2/5 Roger Clough rcl...@verizon.net javascript:

  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.
   
  

 Yes, the greeks did not conceive an empty space without forms. For them it 
 was the forms what created the space. 


I think that they were right. What I propose about light, and all forms of 
energy, is that they do not literally radiate through space as waves or 
projectiles independently of forms, but that what we experience as light is 
exactly what it seems to be: how we sense the world visually. Light does 
not travel through a vacuum, rather it is a sensory-motor interaction among 
forms.

Craig

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Re: Re: Comp: Geometry Is A Zombie

2013-02-05 Thread Roger Clough
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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