(semi OT) Fwd: Old math reveals new thinking in children's cognitive development

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(semi OT) Fwd: Old math reveals new thinking in children's cognitive development

Brandon S Allbery KF8NH
Begin forwarded message:
Date: December 11, 2009 8:00:00 PM EST
Subject: Old math reveals new thinking in children's cognitive development
Source: ScienceDaily: Latest Science News

Five-year-olds can reason about the world from multiple perspectives simultaneously, according to a new theory by researchers in Japan and Australia. Using an established branch of mathematics called Category Theory, the researchers explain why specific reasoning skills develop in children at certain ages, particularly at age five. The new theory shows that these reasoning skills have similar profiles of development because they involve related sorts of processes.

Read moreā€¦

Unexpected applications of category theory for $500, Alex....

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brandon s. allbery [solaris,freebsd,perl,pugs,haskell] [hidden email]
system administrator [openafs,heimdal,too many hats] [hidden email]
electrical and computer engineering, carnegie mellon university    KF8NH



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Re: (semi OT) Fwd: Old math reveals new thinking in children's cognitive development

Tom Tobin-2
On Fri, Dec 11, 2009 at 9:21 PM, Brandon S. Allbery KF8NH
<[hidden email]> wrote:
> Unexpected applications of category theory for $500, Alex....

Before you know it, they're going to be modeling mental processes as monads.  :p
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Re: (semi OT) Fwd: Old math reveals new thinking in children's cognitive development

Benjamin L. Russell
On Fri, 11 Dec 2009 22:26:55 -0600, Tom Tobin <[hidden email]>
wrote:

>On Fri, Dec 11, 2009 at 9:21 PM, Brandon S. Allbery KF8NH
><[hidden email]> wrote:
>> Unexpected applications of category theory for $500, Alex....
>
>Before you know it, they're going to be modeling mental processes as monads.  :p

Modeling mental processes using a tool related to a branch of
mathematics or computer science has been done before.  For example,
CopyCat was a "model of analogy making and human cognition based on
the concept of the parallel terraced scan, developed by Douglas
Hofstadter, Melanie Mitchell, and others at the at Center for Research
on Concepts and Cognition, Indiana University Bloomington" [1].

Furthermore, Metacat "is a computer model of analogy-making and
perception that builds on the foundations of an earlier model called
Copycat" [2].

A Haskellian version of Metacat could prove to be an interesting, if
challenging, project.  Does anybody know if such a project would be
feasible?

-- Benjamin L. Russell

[1] "Copycat (software) - Wikipedia, the free encyclopedia."
_Wikipedia, the
free encyclopedia._ 18 Apr. 2005. 16 Dec. 2009.
<http://en.wikipedia.org/wiki/Copycat_%28software%29>.

[2] Marshall, James B. "Metacat: A Self-Watching Cognitive
Architecture for Analogy-Making and High-Level Perception." James B.
Marshall. 17 Oct. 2009. 15 Dec. 2009.
<http://science.slc.edu/~jmarshall/metacat/>.

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