Chapter 1

Playing the Numbers Game

In This Chapter

arrow Finding out how numbers were invented

arrow Looking at a few familiar number sequences

arrow Examining the number line

arrow Understanding four important sets of numbers

One useful characteristic about numbers is that they're conceptual, which means that, in an important sense, they're all in your head. (This fact probably won't get you out of having to know about them, though — nice try!)

For example, you can picture three of anything: three cats, three baseballs, three cannibals, three planets. But just try to picture the concept of three all by itself, and you find it's impossible. Oh, sure, you can picture the numeral 3, but the threeness itself — much like love or beauty or honor — is beyond direct understanding. But when you understand the concept of three (or four, or a million), you have access to an incredibly powerful system for understanding the world: mathematics.

In this chapter, I give you a brief history of how numbers came into being. I discuss a few common number sequences and show you how these connect with simple math operations ...

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