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Immanuel Kant pioneered a philosophical examination of human reasoning.
PHILOSOPHICAL CATEGORIES

the Pattern Logic Primitives

There are an interesting collection of correspondences that emerge when the interpretive method of predication is applied to the simplest sets of patterns.  The results find curious resonance with philosophical efforts at categorization found throughout history.

Primitive Entities

Indeterminate Entities

Here is the first set of pattern logic primitives which are the set of indeterminate entities, or what in ADEPT are labeled as the trickle subtypes of the Shadow Entities of Aether (SEH) rivulet type.  These are called trickle diagrams and they show the pattern of channel inputs that result in the 12 trickle subtypes of SEH.  The large blue circles are labeled with the trickles's name and abbreviation in ADEPT LION notation as well as the algebraic interpretation that is the result of applying the laws of pattern logic.  The trickles are assigned the Greek letter alpha variable and the dependencies (smaller circles) are assigned the Greek letters beta or gamma as variables. An underscore "_" represents the lack of an occasion for channel input.  The trickle names are meant to summarize the algebraic interpretations semantically.

Logical Primitive Articles

Modern Application

Modeling Ontology

Surely some may be looking for an application of these primitive patterns that is more contemporary than the categorical systems of Kant and Aristotle.  When one looks at the meanings of the primitive occasions in the first consideration, they can also be understood as the building blocks of an ontological model.  


Oxford Languages defines ontology as "a set of concepts and categories in a subject area or domain that shows their properties and the relations between them."

 

While most ontology work focuses on a specific "subject area or domain" there are also "top level ontologies" that seek to identify the common "properties and relations" across multiple domains.  


Going even deeper however, what pattern logic is actually offering is a formalization of what it means to be a "concept", "category", "domain", "property" or "relation".  In other words, pattern logic presents a way of retooling any ontological system into a coherent and complete logical model grounded in the meaning of patterns.

ONtology?

 The Web Ontology Language (OWL) is probably the most widely used approach to constructing ontologies today.  


The underlying syntax of OWL is an extension of the Resource Description Framework (RDF), which is a network graph consisting of subject-predicate-object "triples" that link two "resource" nodes through a "property" edge. 


ADEPT LION models the structure of a graph separate from the ontological meaning of individuals, classes, attributes and relations, thus cleanly separating by consideration a line between structure and logic which RDF and OWL blurs.

Ontology in Pattern

Components of an Ontology Model in Pattern

Concepts

From the bottom-up an ontology consists of pure concepts or conceptualizations of actual things.  

  • When a concept stands alone as a pure concept, then we model it as a Unit trickle (SEH**) which is an assertion of its own self-existence.  
  • When a cocnept is a conceptualization of something actual we model it as an Idea trickle (SEH||) which is dependent upon its equivalent manifest entity.
  • When the concept is the bottom concept, then we model it as a Nothing trickle (SEH*-).
  • It is often useful in ontological modeling to use "blank nodes" to represent unspecified or unknown concepts or classes.  This is the meaning, and subsequently the ontological purpose, of an Anything trickle (SEH--).

Classes

From the top-down an ontology consists of the classes by which individuals are  grouped.

  •  While the ontology class is meant to predicate individuals, as a philosophical universal it is predicative of nothing in itself and essentially arbitrary. Therefore, it is modeled as the Something trickle (SEH-*) .
  • Many ontology classes are not conceptually independent, but rather represent sub-ordinate classes, and in the direct case, the Succession trickle (SEH\-) insures that the sub-class it instantiates will never super-ordinate its one dependency on its super class (see alternate multiple inheritance approach below).
  • A useful feature in ontology modeling is the ability to declare equivalent classes.  The Twin trickle (SEH++) means that it is equivalent to some other class.
  • A similarly useful feature in ontology modeling is the ability to declare disjoint classes.  the Else trickle (SEH-\) means that a class can be established entirely by the fact that it has no overlap with some existing class.

Relations

From the inside-out an ontology consists of relations between concepts and classes or sometimes even between classes.

  • The relation of assignment of a concept to a class (counter-predication) is one of the fundamental relations of any ontology and the  pattern logic interpretation of the Inclusion trickle (SEH\\) does precisely that.
  • In an ontology supporting multiple inheritance (a sub-class having multiple super-classes) this feature is also handled relationally by the Inclusion trickle (SEH\\) but in an arrangement of predication wherein the super-class is said-of the sub-class.
  • A relation that expresses conceptually that two manifest entities are really one and the same is the ontological meaning of the Equation trickle (SEH==).

Attributes

Attributes establish the outside-in "dressing up" of classes and concepts with "properties" or "attributes".

  • The direct form of predication found in the Container trickle (SEH\*) represents the truth that attributes are always established to predicate, or "be said of" the concept or class which they reference.
  • Similar yet distinguishable from equality between classes is the equality between attributes as expressed by the Definition trickle (SEH*\).

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