This is based on nothing more than reading the entry on categories at
http://plato.stanford.edu/entries/categories/ so please take with a pinch of
salt...
It seems that the tools necessary to construct category systems are severely
broken. Specifically, there is no generally accepted method for
di
Is it possible that you have made Calculus something more than it really is?
Could it JUST be a way of seeing a way to find the instantaneous slope of
an equations solution graph and the area between limits under that curve.
_
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf
In differential geometry a curve with a given parameterization has a
velocity at a point. This is not a category error; it's a definition.
Frank
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf
Of Robert Holmes
Sent: Wednesday, July 09, 2008 9:49 AM
To: [EMAIL PROTECTED]; The Fr
You can also look at this as being undefined for the point, but
defined for an interval on the curve which is arbitrarily close to
that point.
--joshua
On Jul 9, 2008, at 10:37 AM, Frank Wimberly wrote:
In differential geometry a curve with a given parameterization has a
velocity at a
It may not be a category error, but a domain error... applying
definitions of objects from one domain to similarly named objects in
another.
This error is the basis of the classic paradox regarding immovable
object's interactions with irresistible forces. The question of what
happens when the form
speak of it at if it were something that it
essentially
> > wasn't. And yet, of course, the Calculus flourishes.
> >
> > Now the reason I am writing is that I am not sure where to go with this
> > "discovery." One way is to renounce my behaviorism on the ground t
ROBERT HOLMES SAID
This is based on nothing more than reading the entry on categories at
http://plato.stanford.edu/entries/categories/ so please take with a pinch of
salt...
It seems that the tools necessary to construct category systems are severely
broken. Specifically, there is no generally
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
Nicholas S. Thompson
Emeritus Professor of Psychology and
Well, here's the thing: If a particle were following the curve defined by
that parameterization because of forces imposed by a field, and if all
forces on the particle instantaneously became zero, the particle would
continue to move with the mathematically defined velocity.
Frank
-Original M