@microglyphics that's not a well trodden path, that's the hard one that #RobertRosen traveled on.
The Rosen never tired to explain what mathematical modelling really is, and explained how certain such methods can be used to model agents, not just mechanisms.
An approachable introduction to modeling agents is Rosen's book Anticipatory Systems (AS). He introduced the mathematical instruments more formally in Fundamentals of Measurement (FM). Second approachable attempt is in Life Itself (LI).
Robert Rosen's approach of grounding formalization in science in the ultimate formalization, math, is as self-similar as thinking about thought.
His use of "category theory" provides a mathematical analogy to analogies.
I must confess that I need a lot of time to understand his writings - I keep learning new things every time I read it again.
I love Robert Rosen as a teacher of math. The text below shows the analogy of formal systems to natural systems to the point that "empiricism in math" becomes a meaningful statement.
The text, by the way, extends to text as a formal system (e.g., a dictionary or an ... LLM) and what we can know about the truth value of any proposition derived from it.
#RobertRosen #AI #math
Rosen, Robert. "Anticipatory systems." New York, NY: Springer New York, 2011. 313-370.
@mc The layman might find it easier to understand what that paper contributes to the system of theories they apply for analytic or synthetic reasoning after studying Robert Rosen's usage of category theory in his works Life Itself, Anticipatory Systems (or, in a more formal way) Fundamentals of Measurement.
#RobertRosen wrote the text below 1974 in a paper reprinted in part in Anticipatory Systems. The following analysis of 1st order #cybernetics especially as applied to the regulation of an economic system S by means of a model M of S and an effector system E (designed to modify the trajectory of states of S, as modeled in M) towards, or away from, predicted future states. It soon becomes very clear how convoluted and hazardous even the most simple cybernetic approach is.
My note: #NeoRationalism
The difference between 1st order and 2nd order cybernetics. My recollection is that this has been pointed out at the beginning of Cybernetics (during the constituting congresses, as reported by Wiener). Wiener, on the other hand, was a black-boxing curve-fitter, not understanding that he was part of a predictive system, the model updating agent, himself.
At the MIT Wiener's ideas lived on for a long time, creating misconceptions about intelligence.
#cybernetics #AI #RobertRosen
I've found a reference to #RexTugwell in #RobertRosen Anticipatory Systems: #progressive politics and #cybernetics used to be tightly linked. How many more narratives of the 20th century are worth re-telling?
Thomas