Tag Archives: Mathematical Models

Casual Introduction (cont.) Figure 3 extends the basis of description for the space to a set of two qualities and the corresponding terms of description to an alphabet of two symbols Any propositional calculus over two basic propositions allows for … Continue reading →

Casual Introduction (cont.) Figure 3 returns to the situation in Figure 1, but this time interpolates a new quality specifically tailored to account for the relation between Figure 1 and Figure 2. This new quality, is an example of a differential quality, since its … Continue reading →

Casual Introduction (cont.) Now consider the situation represented by the venn diagram in Figure 2. Figure 2 differs from Figure 1 solely in the circumstance that the object is outside the region while the object is inside the region   So far, nothing … Continue reading →

A differential propositional calculus is a propositional calculus extended by a set of terms for describing aspects of change and difference, for example, processes taking place in a universe of discourse or transformations mapping a source universe to a target … Continue reading →

The most fundamental concept in cybernetics is that of “difference”, either that two things are recognisably different or that one thing has changed with time. W. Ross Ashby • An Introduction to Cybernetics Here’s the outline of a sketch I … Continue reading →

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 →

Re: Differential Logic and Dynamic Systems • Discussions • (4) • (5) Re: Laws of Form • Lyle Anderson LA: Have you ever done any statistical analysis of data, or any of the statistical sciences such as the Theory of … Continue reading →

Re: Differential Logic and Dynamic Systems • Discussion 4 Re: Laws of Form • Lyle Anderson (1) (2) Last time I mentioned a few old writings I thought might serve to smooth the transition from “Differential Propositional Calculus” to the … Continue reading →

Re: Differential Propositional Calculus • Discussions • (1) • (2) • (3) Re: Laws of Form • Lyle Anderson (1) (2) Dear Lyle, I’ve been meaning to get back to your comments linked above — the connections you observed to … Continue reading →