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Systems of Numeration & Naming Conventions

"Almost All Counting Numbers are Very, Very, Very Large"

-- The Frivolous Theorem of Arithmetic


CHAPTER
SELECT
1.1 Nature of Number

1.2 Sys. of Numeration
1.3 Arithmetic
1.4 Properties
1.5 Catalog of Numbers
2.1 Cosmic Horizons
2.2 SI Prefixes
2.3 Imagining Numbers
2.4 The -illion Series
3.1 Intro to Recursion

3.2 Common Notations

3.3 Large No. Arithmetic

4.1 Jonathan Bowers

4.2 Fast Growing

4.3 Extensible-E



        Now that we have some grasp of what the nature of Number is we can now consider different ways to differentiate them. In this chapter we will explore how we can go from a basic concept of number as the size of a collection into a system of abstract symbols, sounds, and words. We will also consider the various ways man has found to give name and form to the nameless and formless infinite set of numbers. We'll be going over the origins of number notation, its development, and the various spoken and written forms it has taken in modern times.

1.2.1 - Introduction
                I briefly discuss the general evolution of numeration systems. This will set the foundation for the rest of our discussion in chapter 1.2

1.2.2 - Carving The Notch : Dawn of Mathematics
        We go far back into history to investigate the first recorded use of mathematical notation, and the origin of written number.

1.2.3 - Early Numeration
        In this article we quickly go over the development of numeration from tally marks to decimal notation. I go over egyptian numbers, and roman numerals before discussing decimal
s.
 
           In this article I describe the fascinating Mayan Empire, a Pre-columbian New World civilization that lived in what is now know as Mesoamerica from 2000 B.C. to roughly 900 A.D. I then discuss their calendar system at some length and it's connection to their number system. Lastly I discuss the Largest Numbers documented on ancient Mayan inscriptions.

1.2.5 - Naming the Numerals
        In this article I go over how numbers are named in english up to quintillions.

1.2.6 - Naming Numbers in 14 Different Languages
        This article provides tables for naming numbers from 1 to 1000 in 14 different languages.

1.2.7 - Unique Designators up to 1099
        I present an experimental naming scheme of my own that provides a unique name for the first 1099 numbers to make a point.


1.2.X - Babylonian Numbers (ON HIATUS)