Modelling: [Piece of Reality → Data (Observations)] → Formal Representations (Data, Process, etc.) → Testing Explanatory or Predictive Power.
What we observe is not nature itself, but nature exposed to our method of questioning. - Werner Heisenberg, German physicist
Scientific insight is the profound understanding or discovery that reveals underlying principles or patterns in natural phenomena, often leading to significant advancements in knowledge or technology.
An organizing principle is a core assumption from which everything else by proximity can derive a classification or a value. It is like a central reference point that allows all other objects to be located, often used in a conceptual framework.
Universal Abstraction for Modelling: The goal of modelling, in this formulation, is to construct an intelligent actor — an entity with an explicit internal architecture capable of receiving inputs, maintaining state, and adapting through training to achieve specified behavioral outcomes.
Note: A model of reality is, fundamentally, an affirmation about reality — often a composite affirmation built from more basic, fundamental affirmations. However, this is not always strictly the case: in effective models, some components of the model may not correspond directly to affirmations about reality, but serve as computational or conceptual tools. Still, in general, the model as a whole represents an affirmation about reality.
A modeling template, also known as a model template, is a pre-defined structure or framework that provides a standardized format for creating models in a specific domain or context. It serves as a starting point or guide for developing models by providing a consistent structure, variables, relationships, and assumptions that are commonly used within that domain.
Mathematics is the art of clear thinking.
Computer Science is the art of modelling processes.
Statistics is the art of describing phenomena without delving into their underlying mechanisms.
The goal is to create a universal framework for modeling systems, including listing natural systems, developing classifications, and creating tools to facilitate their modeling.
Try to develop a theory of modelling.
Let’s say we have a specification of a problem: does it have a solution? If so, is it unique, are there many solutions, or none at all? - For this used the terminology of Well-Posed Problem.