Decimille: Systematic Extension of the Decimal System

BASIC TERMINOLOGY

Pars: means a particular irrational number chosen to represent an aspect of decimille.

Systems Fragment: is a length of an irrational number which lies between the first digit and the second repetition of the number four in quadratic systems, five in pentallic systems, etc.

EXAMPLES OF APPLICATIONS OF DECIMILLE FOR SYSTEMOLOGY

Typical Example: Pi

3 = Macro-importance of exceptions (represented by the number '3').

1 = Micro-importance of unity / geometry (represented by the number '1').

4 = Micro-importance of quadratics (represented by the number '4').

1 = Un-parsability of quadratics (repetition of unity over quadratics, represented by the number '1').

5 = Micro-importance of dimensions beyond 4, e.g. to parse the number '4'.

9 = Micro-importance of the decimal parsal of '1' via the decimal limit of '1'.

2 = Micro-importance of set-theory represented by the number '2'.

6 = Micro-importance of dimensions greater than '5' e.g. to explain the 5th dimension.

5 = Un-parsability of pentallics (represented by the repetition of the number '5').

4 = Exceptional un-parsability or arbitrary semantics of quadratics, represented by the second repetition of the number '4'.

Less Typical: e

2 = Macro-importance of set-theory.

7 = Micro-importance of unsolvability.

1 = Micro-importance of geometry for unsolvability.

8 = Micro-importance of the 8th dimension for solvability.

2 = Un-parsability of set-theory.


So, the string 3141592654 is a decimille system derived from pi, shown above.

The string 27182 is a decimille system derived from e, shown above.

Basically, these are numbers which appear in matrixes which signify mathematical relations to proof theory and its limits.