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### 1.1

1.1
The Nature of Number

"
I have this vision of hoards of shadowy numbers lurking out there in the dark, beyond the small sphere of light  cast by the candle of reason.  They are whispering to each other; plotting who knows what.  Perhaps they don't like us very much for capturing their smaller brethren with our minds.  Or perhaps they just live uniquely numberish lifestyles, out there beyond our ken."

-- Douglas Reay

 CHAPTERSELECT1.1 Nature of Number1.2 Sys. of Numeration1.3 Arithmetic1.4 Properties1.5 Catalog of NumbersCosmic Horizons2.2 SI Prefixes2.3 Imagining Numbers2.4 The -illion Series3.1 Intro to Recursion3.2 Common Notations3.3 Large No. Arithmetic4.1 Jonathan Bowers4.2 Fast Growing4.3 Extensible-EAPPENDIXINDEX Welcome to the Limitless World of Large Numbers! In this very first chapter we consider the question "what is number"? We will then develop an intuitive definition of the counting numbers. Finally we explore how easy it is to create really large numbers even from a few simple ideas. 1.1.1 - Welcome to the Numberscape            Welcome to the Limitless World of Large Numbers1.1.2 - Number Sense            In this article we explore our innate ability to perceive "muchness".   1.1.3 - A Definition of The Counting Numbers            Using our intuition we establish a conceptual definition for the counting numbers. 1.1.4 - Jacob's Ladder - Reaching for the Infinite            With our definition of number we make our first attempt to define larger and larger numbers. How far can we get with only the most basic methods and reasoning ?