Author Archives: Jon Awbrey

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 →

One insight arising from Peirce’s work on the mathematics underlying logic is that the operations on sets known as complementation, intersection, and union, along with the corresponding logical operations of negation, conjunction, and disjunction, are not as fundamental as they … Continue reading →

A moment’s reflection on the issue of style, giving due consideration to the received array of stylistic choices, ought to inspire at least the question:  “Are those the only choices there are?” There are abundant indications that other options, more … Continue reading →