Comprehensibility of systems

1. The fact that many complex systems have a nearly decomposable, hierarchic structure, is a major facilitating factor in permitting individuals to understand, to describe, and even to 'see' such systems and their parts. Or, alternatively, if there are important systems in the world that are complex without being hierarchic, they may to a considerable extent escape observation and understanding. Analysis of their behaviour would involve such detailed knowledge and calculation of the interactions of their elementary parts that it would be beyond the capacities of memory or computation.

2. All systems are subject to comprehension, and their mathematical integrity of topological characteristics and trigonometric interfunctioning can be coped with by systematic logic. A system is the first subdivision of the universe into a conceivable entity separating all that is nonsimultaneously and geometrically outside the system (ergo irrelevant) from all that is nonsimultaneously and geometrically inside (and irrelevant) to the system; it is the remainder of the universe that conceptually constitutes the system's set of conceptually tunable and geometrically interrelated events. Conceptual tuning means occurring within the range of human's sensing within the electromagnetic spectrum and wherein the geometrical relationships are imaginatively conceivable by humans, independently of size, and identifiable systematically by their agreement with the angular configurations and topological characteristics of polyhedra or polyhedral complexes.

3. All systems are individually conceptual polyhedral integrities; a system is a patterning of enclosure consisting of a conceptual aggregate of recalled experience items, or events, having inherent insideness, outsideness, and omniaroundness. Any conceptual thought is a system and is structured tetrahedrally because all conceptuality is polyhedral. Human thoughts are always conceptually and definitively confined to system comprehension. The whole the universe may not be conceptually considered because thinkability is limited to contiguous and contemporary integrity of conformated consideration, and universe consists of a vast inventory of nonsynchronous, noncontiguous, noncontemporary, noncoexisting, irreversibly transforming, dissimilar events. Intellectual comprehension occurs only when the interpatternings of experience and the interrelationships of events return upon themselves, as it were, and become foci of effectively systematic thinking.