# Category Archives: Propositional Equation Reasoning Systems

## Differential Logic and Dynamic Systems • Overview

In modeling intelligent systems, whether we are trying to understand a natural system or engineer an artificial system, there has long been a tension or trade‑off between dynamic paradigms and symbolic paradigms.  Dynamic models take their cue from physics, using … Continue reading

## Theme One Program • Motivation 6

Comments I made in reply to a correspondent’s questions about delimiters and tokenizing in the Learner module may be worth sharing here. In one of the projects I submitted toward a Master’s in psychology I used the Theme One program to … Continue reading

## Theme One Program • Motivation 5

Since I’m working from decades-old memories of first inklings I thought I might peruse the web for current information about Zipf’s Law.  I see there is now something called the Zipf–Mandelbrot (and sometimes –Pareto) Law and that was interesting because … Continue reading

## Theme One Program • Motivation 4

From Zipf’s Law and the category of “things that vary inversely with frequency” I got my first brush with the idea that keeping track of usage frequencies is part and parcel of building efficient codes. In its first application the … Continue reading

## Theme One Program • Motivation 3

Sometime around 1970 John B. Eulenberg came from Stanford to direct Michigan State’s Artificial Language Lab, where I would come to spend many interesting hours hanging out all through the 70s and 80s.  Along with its research program the lab … Continue reading

## Theme One Program • Motivation 2

A side-effect of working on the Theme One program over the course of a decade was the measure of insight it gave me into the reasons why empiricists and rationalists have so much trouble understanding each other, even when those … Continue reading

## Theme One Program • Motivation 1

The main idea behind the Theme One program is the efficient use of graph-theoretic data structures for the tasks of “learning” and “reasoning”. I am thinking of learning in the sense of learning about an environment, in essence, gaining information about … Continue reading

## Differential Logic and Dynamic Systems • Discussion 7

Re: Differential Logic and Dynamic Systems • Intentional Propositions Re: FB | Differential Logic • Marius V. Constantin Marius Constantin asks about the logical value of an intention which is not carried out. MVC: I have in my intention to … Continue reading

## Genus, Species, Pie Charts, Radio Buttons • Discussion 5

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • John Mingers Dear John, Once we grasp the utility of minimal negation operators for partitioning a universe of discourse into several regions and any region into … Continue reading

## Genus, Species, Pie Charts, Radio Buttons • Discussion 4

Re: Genus, Species, Pie Charts, Radio Buttons • 1 Re: Laws of Form • John Mingers JM: I feel as though you have posted these same diagrams many times, and it is always portrayed as clearing the ground for something … Continue reading