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Any decent model of economic praxis must included Feedback loops.  Feedback loops - of all kinds - affect agents and the Fitness Landscape over time.  While the specific effects are unpredictable the model qua model must include them to have a hope of accuracy.  

Temporal Logic, a branch of Modal Logic, exists to abstract the impossible, the possible, the necessary.  Such that:

P{x,y}

where y achieves, gains, or has the P referent through Time via x and P is a quality or a quantity - All XOR Some XOR None. If we get lucky, the quantity maybe first order - 'a' number assigned to 'a' variable, tho' it's much more likely to be a second or greater order quantity, such as a Complex Number, or a series of mathematical statements grouped into inter-related families of mathematical statements.    

One result of this, using the Lowenheim-Skolem Theorem, is the (potential and unpredictable) bifurcation of model functions from D -> T to D -> T' where T' is who-the-hell-knows-what.  ;-)  One known occurance of this is the transformation, in Catastrophe Theory, of control to state or state to control variable(s).  Time, then, can become a control variable in certain of these transformations.

Modeling (certain) Feedback Loops, therefore, we have to acknowledge the potential for Time to 'jump' between playing a role as a control or as a state variable leading to qualitative change of of the Fitness Landscape.

Note:  I am not saying Time isn't constant.  That would be ... weird.  

by ATinNM on Fri Jun 16th, 2006 at 11:41:06 AM EST
[ Parent ]
You still owe us a diary explaining exactly what you're going on about.

I hate temporal logic. Nasty icky stuff.

by Colman (colman at eurotrib.com) on Fri Jun 16th, 2006 at 12:03:42 PM EST
[ Parent ]
Chortle

It's just another dimension.  What are we up to now?  18 +/-?

I know I owe the diary and I plan on finishing it Real Soon Now.  Any day.  

yup, yup, yup.

Of course if I tell you, you'll tell Migeru, he'll tell Sven, and pretty soon today will be tomorrow and yesterday will have had been next month.  8^p

by ATinNM on Fri Jun 16th, 2006 at 08:52:51 PM EST
[ Parent ]
I don't mind the extra dimension: I tend to regard anything ordered set with a bottom element as time-like (technically any downclosed topology).
by Colman (colman at eurotrib.com) on Sat Jun 17th, 2006 at 10:59:51 AM EST
[ Parent ]
Just a bottom element, or do you require an infimum function?

guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper
by Migeru (migeru at eurotrib dot com) on Sat Jun 17th, 2006 at 11:28:45 AM EST
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Congratulations: your comment here is now the #10 Google hit for "infimum function".

Words and ideas I offer here may be used freely and without attribution.
by technopolitical on Tue Jun 27th, 2006 at 12:53:11 AM EST
[ Parent ]
You've got to be kidding me.

guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper
by Migeru (migeru at eurotrib dot com) on Tue Jun 27th, 2006 at 03:02:31 AM EST
[ Parent ]
I try to stay away from analytical Topology by deploying Fuzzy Logic in a non-Boolean Decision Space:  I Don't Care.

(laughing)

by ATinNM on Sat Jun 17th, 2006 at 11:56:26 AM EST
[ Parent ]

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