For our purposes, think of ‘Derivation’ as the opposite of ‘Abstraction‘. Whereas Abstraction involves distilling something down to the simple, essential aspect. Derivation means taking a more Abstract concept and breaking it down into more complex sub-concepts.
For example, let’s start with the concept of ‘animal’. We can break this concept down into the derivative concepts of mammals, reptiles and amphibians. We can then take ‘mammals’ and identify a still more derivative concept: ‘dogs’. We can then derive various breeds of dogs, and within a breed we can derive various individual dogs, and from that derive individual characteristics of a given dog, like personality, hair color, etc.
By the way, going back to that concept of ‘animal’, we can also abstract that concept to ‘organism’ and then to object. But while we can only abstract something so far before we ultimately reach the limit of Abstraction at Absolute Infinite One, when it comes to derivation, there seems to be no end to how finely we can split hairs.
This repeating derivation is found throughout Creation in the form of fractal patterns in everything from tree branches to waves to the human circulatory system.
One of the main causes of confusion in life is the misunderstanding about which concepts are abstractions and which are derivative.
Here’s the classic example: Politics.
There are many people who believe that you can ultimately break people down into one of two camps: politically liberal or politically conservative. We could also refer to that as The Left and The Right.