Category Archives: Painted Cacti

Although the definition of a cactus graph lobe in terms of its intrinsic structural components is logically sufficient it is also useful to characterize the structure of a lobe in extrinsic relational terms, that is, to view the structure that … Continue reading →

The structure of a painted cactus, insofar as it presents itself to the visual imagination, can be described as follows.  The overall structure, as given by its underlying graph, falls within the species of graph commonly known as a rooted … Continue reading →

Re: Cactus Language • Stylistics 1 Re: Cybernetics • Shann Turnbull ST: How does your posting meet the test of being relevant to the Wiener definition of Cybernetic? Cybernetics can explain how all living things are self‑regulating, self‑governing and to … Continue reading →

We are only now beginning to see how this works.  Clearly one of the mechanisms for picking a reality is the sociohistorical sense of what is important — which research program, with all its particularity of knowledge, seems most fundamental, … Continue reading →

Stricture, Strait, Constraint, Information, Complexity The ways in which strictures and straits at different levels of complexity relate to one another can be given systematic treatment by introducing the following pair of definitions. Excerpt of a Stricture The excerpt of … Continue reading →

Stricture, Strait, Constraint, Information, Complexity From here it is easy to see how the concatenation of languages is related to the intersection of sets and thus to the conjunction of logical propositions.  In the upshot a cartesian product is described … Continue reading →

Stricture, Strait, Constraint, Information, Complexity To give a concrete example of strictures and straits in action, let us institute a frame of discussion where the number of places in a relation is bounded at two and the variety of sets … Continue reading →

Stricture, Strait, Constraint, Information, Complexity Within the framework of a particular discussion, it is customary to set a bound on the number of places and to limit the variety of sets regarded as being under active consideration and it is … Continue reading →

The concatenation of the formal languages and is just a cartesian product of the sets and but the relation of cartesian products to set‑theoretic intersections and thus to logical conjunctions is not immediately clear.  One way of seeing a type … Continue reading →

I am throwing together a wide variety of different operations into the bins labeled additive and multiplicative but it’s easy to observe a natural organization and even some relations approaching isomorphisms among and between the members of each class. The … Continue reading →