Re: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?

2017-07-01 Thread Frank Wimberly 
Algebraic topology and its applications are very important.  We are learning a 
little about it in our mathematical physics reading group (Baez:  Gauge Fields, 
Knots and Gravity).  When I was an undergraduate at Berkeley I worked in the 
Math Library and consequently had a good deal of contact with the graduate 
students.  The most attractive area to most of them was algebraic topology and 
they were great admirers of E. H. Spanier who was working on a textbook in the 
area.  That book has been available for a long time now.

 

I am glad to know the field has applications in neural networks, which I didn’t 
know.

 

Frank

 

 

 

Frank C. Wimberly

140 Calle Ojo Feliz

Santa Fe, NM 87505

 

  wimber...@gmail.com  
 wimbe...@cal.berkeley.edu

Phone:  (505) 995-8715  Cell:  (505) 670-9918

 

From: Friam [mailto:friam-boun...@redfish.com] On Behalf Of Owen Densmore
Sent: Saturday, July 01, 2017 10:10 AM
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] More food for thought: Is There a Multidimensional 
Mathematical World Hidden in the Brain’s Computation?

 

Frank: what did you think about the algebraic topology bit?

 

   -- Owen

 

This week, the Blue Brain Project  
 proposed 
a fascinating idea that may explain the complexities of the human brain. Using 
algebraic topology, a type of mathematics that “projects” complex connections 
into graphs, they mapped out a path for complex functions to emerge from the 
structure of neural networks.

And get this: while the brain physically inhabits our three-dimensional world, 
its inner connections—mathematically speaking—operate on a much higher 
dimensional space. In human speak: the assembly and disassembly of neural 
connections are massively complex, more so than expected. But now we may have a 
language to describe them.

 

 

On Sat, Jun 24, 2017 at 7:37 PM, Vladimyr  wrote:

Tom Johnson;

 

Thank- you

 

I felt dumbstruck when I finished reading…

That only reassured me.

Awesome is this news, in the original sense, like a kick to the head.

.vladimyr

 

 

From: Friam [mailto:friam-boun...@redfish.com] On Behalf Of Tom Johnson
Sent: June-24-17 1:01 PM
To: Friam@redfish. com
Subject: [FRIAM] More food for thought: Is There a Multidimensional 
Mathematical World Hidden in the Brain’s Computation?

 

https://goo.gl/S5yRGF 




Tom Johnson
Institute for Analytic Journalism   -- Santa Fe, NM USA
505.577.6482  (c)
505.473.9646  (h)
Society of Professional Journalists   
Check out It's The People's Data 
 

http://www.jtjohnson.com 
t...@jtjohnson.com




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Re: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?

2017-07-01 Thread Owen Densmore 
Frank: what did you think about the algebraic topology bit?

   -- Owen

This week, the Blue Brain Project proposed a fascinating idea
 that
may explain the complexities of the human brain. Using algebraic topology,
a type of mathematics that “projects” complex connections into graphs, they
mapped out a path for complex functions to emerge from the structure of
neural networks.

And get this: while the brain *physically* inhabits our three-dimensional
world, its inner connections—mathematically speaking—operate on a much
higher dimensional space. In human speak: the assembly and disassembly of
neural connections are massively complex, more so than expected. But now we
may have a language to describe them.


On Sat, Jun 24, 2017 at 7:37 PM, Vladimyr  wrote:

> Tom Johnson;
>
>
>
> Thank- you
>
>
>
> I felt dumbstruck when I finished reading…
>
> That only reassured me.
>
> Awesome is this news, in the original sense, like a kick to the head.
>
> .vladimyr
>
>
>
>
>
> *From:* Friam [mailto:friam-boun...@redfish.com] *On Behalf Of *Tom
> Johnson
> *Sent:* June-24-17 1:01 PM
> *To:* Friam@redfish. com
> *Subject:* [FRIAM] More food for thought: Is There a Multidimensional
> Mathematical World Hidden in the Brain’s Computation?
>
>
>
> https://goo.gl/S5yRGF
> 
>
>
> 
> Tom Johnson
> Institute for Analytic Journalism   -- Santa Fe, NM USA
> 505.577.6482 <(505)%20577-6482>(c)
> 505.473.9646 <(505)%20473-9646>(h)
> Society of Professional Journalists 
> *Check out It's The People's Data
> *
>
> http://www.jtjohnson.com   t...@jtjohnson.com
> 
>
> 
> FRIAM Applied Complexity Group listserv
> Meets Fridays 9a-11:30 at cafe at St. John's College
> to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
> FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
>

FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
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Re: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?

2017-06-24 Thread Vladimyr 
Tom Johnson;

 

Thank- you

 

I felt dumbstruck when I finished reading…

That only reassured me.

Awesome is this news, in the original sense, like a kick to the head.

.vladimyr

 

 

From: Friam [mailto:friam-boun...@redfish.com] On Behalf Of Tom Johnson
Sent: June-24-17 1:01 PM
To: Friam@redfish. com
Subject: [FRIAM] More food for thought: Is There a Multidimensional 
Mathematical World Hidden in the Brain’s Computation?

 

https://goo.gl/S5yRGF 




Tom Johnson
Institute for Analytic Journalism   -- Santa Fe, NM USA
505.577.6482(c)505.473.9646(h)
Society of Professional Journalists   
Check out It's The People's Data 
 

http://www.jtjohnson.com 
t...@jtjohnson.com



FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove

Re: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?

2017-06-24 Thread Dean Gerber 
Tom--
Fine, informative article.  One cohesive view of the evolution of mathematical 
thought might be:
1.  Geometry/ number theory.
2.  Early algebra (symbolic thought)
3.  Analysis (analytic geometry and calculus)
4. Topology.
5. Abstract algebra (previous century)
6. Algebraic topology( integrates concepts from many disciplines)  Highly 
applicable to modern science, e.g. your reverenced article?
Thanks for the link.  Dean Gerber 

On Saturday, June 24, 2017 12:01 PM, Tom Johnson  wrote:
 

 https://goo.gl/S5yRGF 


Tom Johnson
Institute for Analytic Journalism   -- Santa Fe, NM USA
505.577.6482(c)                            505.473.9646(h)
Society of Professional Journalists 
Check out It's The People's Datahttp://www.jtjohnson.com                   
t...@jtjohnson.com

FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
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FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
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[FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?

2017-06-24 Thread Tom Johnson 
https://goo.gl/S5yRGF



Tom Johnson
Institute for Analytic Journalism   -- Santa Fe, NM USA
505.577.6482(c)505.473.9646(h)
Society of Professional Journalists 
*Check out It's The People's Data
*
http://www.jtjohnson.com   t...@jtjohnson.com


FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove