Nick,

I think the questions you are asking won't be answered in a math book 
but rather in a book like this:

Where Mathematics Comes From: How the Embodied Mind Brings Mathematics 
into Being
by George Lakoff, Rafael Nuñez

http://www.amazon.com/Where-Mathematics-Comes-Embodied-Brings/dp/0465037712/ref=sr_1_1?ie=UTF8&s=books&qid=1215709470&sr=8-1

I can recommend it warmly, it will clear up many "mysteries" of 
mathematics :-)

Cheers,
Günther

Nicholas Thompson wrote:
> 
> Oh, I forgot to ask.
>  
> What about the flow in the opposite direction?  Can the calculus tell us 
> anything about how we think about goal direction in human behavior?
>  
> This discussion is posted in www.sfcomplex.org/wiki/MentalismAndCalculus 
> <http://www.sfcomplex.org/wiki/MentalismAndCalculus>
>  
> Nicholas S. Thompson
> Emeritus Professor of Psychology and Ethology,
> Clark University ([EMAIL PROTECTED] <mailto:[EMAIL PROTECTED]>)


-- 
Günther Greindl
Department of Philosophy of Science
University of Vienna
[EMAIL PROTECTED]
http://www.univie.ac.at/Wissenschaftstheorie/

Blog: http://dao.complexitystudies.org/
Site: http://www.complexitystudies.org/

Research Proposal:
http://www.complexitystudies.org/ph.d.-thesis.html


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