Monthly Archives: September 2024

Logical graphs are next presented as a formal system by going back to the initial elements and developing their consequences in a systematic manner. Formal Development Logical Graphs • First Impressions gives an informal introduction to the initial elements of … Continue reading →

Logical graphs are next presented as a formal system by going back to the initial elements and developing their consequences in a systematic manner. Formal Development Logical Graphs • First Impressions gives an informal introduction to the initial elements of … Continue reading →

Formal Development Discussion of the topic continues at Logical Graphs • Formal Development. Resources Logical Graphs Futures Of Logical Graphs Propositional Equation Reasoning Systems Charles Sanders Peirce • Bibliography Survey of Animated Logical Graphs cc: FB | Logical Graphs • … Continue reading →

Primary Algebra as Pattern Calculus (concl.) Speaking of algebra, and having just encountered one example of an algebraic law, we might as well introduce the axioms of the primary algebra, once again deriving their substance and their name from the … Continue reading →

Primary Algebra as Pattern Calculus Experience teaches that complex objects are best approached in a gradual, laminar, modular fashion, one step, one layer, one piece at a time, especially when that complexity is irreducible, when all our articulations and all … Continue reading →

Primary Arithmetic as Semiotic System (concl.) Let be the set of rooted trees and let be the 2‑element subset consisting of a rooted node and a rooted edge.  Simple intuition, or a simple inductive proof, will assure us that any … Continue reading →

Primary Arithmetic as Semiotic System (cont.) The axioms of the primary arithmetic are shown below, as they appear in both graph and string forms, along with pairs of names which come in handy for referring to the two opposing directions … Continue reading →

Quick Tour of the Neighborhood This much preparation allows us to take up the founding axioms or initial equations which determine the entire system of logical graphs. Primary Arithmetic as Semiotic System Though it may not seem too exciting, logically … Continue reading →

Computational Representation (concl.) At the next level of concreteness, a pointer‑record data structure can be represented as follows. (11) This portrays index0 as the address of a record which contains the following data. datum1, datum2, datum3, …, and so on. … Continue reading →

Computational Representation The parse graphs we’ve been looking at so far bring us one step closer to the pointer graphs it takes to make the above types of maps and trees live in computer memory but they are still a … Continue reading →