Category Archives: Group Theory

Casual Introduction (concl.) Table 5 shows the rules of inference responsible for giving the differential quality its meaning in practice. cc: FB | Differential Logic • Laws of Form • Mathstodon • Academia.edu cc: Conceptual Graphs • Cybernetics • Structural Modeling … Continue reading →

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 →