Modularity

Before one begins to write any code, one must understand the domain and its concepts and relationships between them. This is exactly what mathematics is all about – generalized abstract contempts, their properties and relationships. The best way to understand something is to “hack” the expert’s “models” with they carry inside their heads (literally, conditioned neural structures) and articulate using their specific language (slang, jargon) and contexts and idioms. There is a hard way – become an expert, build or grow up your own understanding, and then write it down as simple, well-understood mathematics – sets, functions, universal algebraic structures. This is a much better way, and, perhaps, the only way. ...

AUTHOR: <lngnmn2@yahoo.com> First of all, abstraction barriers are very real (not merely abstract notions) and they are liteterally everywhere (at all levels, from molecular to social). The “most real” abstraction barrier is how what we call “atoms” are “used” by molecular (cell) biology. For cells atoms are is how ancient people used to conceptualize them - an atom is indivisible, indestructive, eternal, “just is”. More precisely, cell biology “is not concerned” with what atoms “really are” and use them as an abstraction, provided that there is no one to “see this”, aside from an “higher level” intelligent observer. ...