#insight | #conceptor #calculus
Main Reduction — Reasoning = Principles x Instances
General. Category -> Specific. Instance
The relationship of categories to instance is regarded as the same one between a variable and a specific value for it.
The Notion of A Conceptor, a Generator of Ideas and Concepts
Principles Are Relations Between Concepts; they Imply A Geometry, an Order, A Structure.
A Principle can be Cast as A Conceptor Scheme.
The Application of A Principle is Akin to the Substitution by the Scheme.
Primitives are Like Scalars
Multiplication = Scaling -> Thesis Object ~ Brings More distinctions (Derivation)
-> Object Form ~ Aggregates Two Concepts (Composite)
Addition = Shifting -> Object is Red, the property of redness shifted to overlap on with Object.
… = Rotating
The idea here is that if knowledge is a body of description and if descriptions are possible because we constructed an ontology. Ontologies are generated of distinctions and concepts abstracted to conceptors.
Descriptions are related through lines of reasoning. One assumption for the knowledge to be complete is that from whereever one start we should be able to get to another point if we chain reasoning.