Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Marcus G. Daniels
Nicholas Thompson wrote: For instance, a motive, or an intention, is not some inner thing that directs behavior, but rather the limit of its behavioral direction. Or it could be that the so-called `motive' or `intention' was merely a rationalization of a subconscious impulse that had already

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Robert Holmes
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Ken Lloyd
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Frank Wimberly
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Joshua Thorp
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread James Steiner
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

[FRIAM] CALCULUS, POINTS AND OTHER MYSTERIES (TO SOME)

2008-07-09 Thread Peter Lissaman
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Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Nicholas Thompson
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Nicholas Thompson
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

Re: [FRIAM] Mentalism and Calculus

2008-07-09 Thread Frank Wimberly
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