(Bead 7. .) Send note to Paul Prueitt . (Bead 9. .)

Part 2: Chapter 8

Extending non-base-10 arithmetic into topology and number
theory

August 16, 2002

This
chapter will be co-authored by Peter Kugler.
We will develop the computer science of elementary number base
conversions and explore the profound implications to the In-Memory Referential
Information Base, discovered by Bjorn Gruenwald and extended by Paul Prueitt
and Don Mitchell.

The
material is simple and surprising.

See URL1 and
URL2. These two papers are very difficult, however
a few foundational notions are quickly introduced that extends the an
introductory treatment of elementary number base conversions to number
theoretic and topological notions that are extremely useful and important for
conceptual mining of written text.

The
primary challenge is to present these foundational notions without going into
conceptual mining of written text techniques.
These techniques will be treated in Foundations.

These notes are
formative towards Prueitt’s new book on learning theory.

We expect that the
book will be developed over the next four months.

(Bead 7. .) (Other Beads) (Bead 9. .)