Nature of Irreducibility and Information
With all the abstraction that our mind generates, a question keeps reappearing. Are the second order effects more powerful than the substrate itself? Fig: Trying to understand the universe Existence of Irreducibility: I stumbled upon this weird notion of irreducibility that seems to persist across this universe. Certain set of steps needs to be taken to reach a baffling conclusion that seemed very unobvious before you take those steps. To further probe this idea, two measures can be used: " P recision ": How formal something is. Derivation from first principles should be possible with shared assumptions. " Correctness ": Should be formally or physically accurate. Using these two measures, irreducibility can be classified into three categories: a) Mathematics Math is an implicit candidate that comes into our mind when we think of irreducibility. Say you have a partial differential equation of any bivariate function f(x,y) : Fig: Partial different...
