ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.

Thursday, July 30, 2026

12 aspects of economy

In line with the recent 'The Ternary Classification' post, another quartet can be added to the two quartets of the 'Eight Aspects of Economy' post of 2010;

(((Gather, Hunt), (Farm, Manufacture)),

((Information, Intelligence), (Imagine, Create)),

((Barter, Trade), (Commerce, Finance)))

as the Application layer to complete the classification. I renamed the (Spiritual, Artistic) duality to (Imagine, Create). This way, the first quartet becomes the Measure, and the second the Theory of the ternary foundational classification. In the economics context, the first and third element can be called Production and Exchange.

Tuesday, July 28, 2026

The Ternary Classification

The classifications based on the stack of 12 for various fields I have attempted until now have the dominant symmetry 3*4. The outer aspect is ternary and the inner is quaternary or rather dual binary. For example for Mathematics;

(((Number,Function),(Operation,Equation)),
((Set/Logic,Analysis),(Algebra,Geometry)),
((Probability,Statistics),(Computation,Information)))

and for Physics;

((((Energy,Time),(Momentum,Distance)),((Angular-Momentum,Area),(Spin,Volume))),
(((Mass,Gravity),(Electric-Charge,Electric-Field)),((Weak-Charge,Weak-Field),(Strong-Charge,Strong-Field))),
(((Higgs,Atom),(Boson,Planet)),((Lepton,Star),(Quark,Black-Hole))))
 
The one for Physics has the symmetry of 3*4*2=24, and its outer shape is still 3.
 
If 3 words are assigned for the elements of this ternary symmetry they would probably be;
 
(Measure, Theory, Application) 

Previously I have mentioned the number triplet (0,1,∞) which also has ternary symmetry and this suggests Zero and Infinity have Binary symmetry. They are inversions of each other around unity anyway.

Why 3 dominates over 2 is open for investigation.