Definition / description
The general thesis is
Everything emerges from the continuum (real number line) when it is differentiated in its most primal way, through binary numbers  0's and 1's alternating as primary differentiations.
The capacity to make any sort of distinction/differentiation whatsoever  a "difference that makes a difference"  a "jnd"  a "justnoticeable difference"
All logic, all mathematics, all numbers, all description, all construction of abstract objects, begins with this definition
This project is "digital"  which means it is inherently quantized at every point
"every point" is essentially a matrix cell  and boundary value intersection in X and Y
 Binary arithmetic is yin/yang
 Yin/yang is opposites  how do we diagram those oppositions
 See Leibniz
 Is the continuum "one sided"?
 Is it "figure/ground"?
 It is digital and quantized
 It can construct every number
 It can construct every word
We are lining up an approach for fundamental definitions, and this may be part of that. Natural number, binary number. How do they fit together as derived from or defined in terms of the continuum? From this basis we want to define all types of numbers  and from there  the quantization of synthetic dimensions  qualitative dimensionality defined by stipulation.
Consider the Peat/Bohm discussion of category formation, and how "birds are distinguished from squirrels"  and how are these differences noted or symbolically represented?
In what sense is the distinguishing difference binary  or involving "opposites"? How does "figure/ground" involve "opposites"?
There emerges a line of separation  a boundary  maybe in many dimensions (squirrels and birds are different in many ways)
But maybe it starts very simple  some fly, some only jump from branch to branch
How is that cognized?
Tue, May 11, 2021
