at1with0 wrote:The ability to use numbers is so basic to our existence that we rarely realize how sophisticated our number system is. It was not always so: early number systems were crude and cumbersome. Clawson takes us on a mathematical adventure that reveals the history of numbers as a reflection of the evolution of culture. He shows how this science was born out of necessity in agriculture and commerce, not out of virtue. As our technology progressed, so did our math, and from the Chinese, Mayans, and Greeks came new numerical concepts and increased abstractions. The views and discoveries of Pythagoras, Descartes, Gauss, and perhaps a dozen more heavy-hitters are discussed, with Clawson maintaining a sense of humor to keep it enjoyable. Even those with little knowledge of formal mathematics will find the first half of this book easy going; it gets a little sticky later, delving into irrational, infinite, and "really big" transfinite numbers. The text becomes pure philosophy at this point, but if the reader can stick with it, the experience will be worthwhile. David Siegfried --This text refers to an out of print or unavailable edition of this title.
And that is certainly what my quasi-mathematical argument eventually boils down to. Philosophy!
I hope you all realize I haven't gone mad; I do realize it makes no sense that, for example, pi = infinity. Sure, it's an ever-growing number with no end, so technically, or at least philosophically it could be described as infinity.
Greeney mentioned there is no way infinity can exist between 2 whole numbers.
But just for fun let me postulate this: Infinity is stuck between 2 whole numbers. Infinity, just like any other number really, is a number that exists between: zero and (infinity + 1)