Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20070712 10:55:54
The Evolution of NumbersI have just drafted a little essay called The Evolution of Numbers "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20070712 11:52:51
Re: The Evolution of NumbersWith rational numbers, ya gotta include that q can't be 0. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20070712 19:59:16
Re: The Evolution of NumbersI think he might have corrected this after you posted Ricky, but it's hard to tell since he hasn't responded, bbut it says: "Rational Numbers: {p/q : p and q are integers, q is not zero}" #4 20070712 20:52:40
Re: The Evolution of NumbersOoh .. thanks guys. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20070713 01:31:03
Re: The Evolution of NumbersRight after the title "Summary", it says "thaey" instead of "they". Other than that, I noticed nothing. Good read for people who havn't heard about the different number sets. #6 20070713 13:00:23
Re: The Evolution of NumbersIt's nice to get a light history. igloo myrtilles fourmis #7 20070713 13:31:33
Re: The Evolution of NumbersDefinitely a good read. The only thing is that when I read through it, I got the impression that you were explaining how these numbers came to be in a historical sense. Is that correct? If so, I'd just double check to make sure you got the history right. I myself know next to nothing about the history of math. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20070713 14:29:41
Re: The Evolution of NumbersLooks good. Very easy read. Young students should be able to handle it as well as their parents who may need a refresher when it comes time to help out with the school work. #9 20070713 14:39:38
Re: The Evolution of NumbersThanks! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #10 20070713 14:39:50
Re: The Evolution of Numbers
The solution to: Is in fact: However, when one writes square root, it just means the positive root. This is why one must specify: Edited to add:
You may wish to add a foot note or warning in the beginning to that effect. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20070713 16:44:58
Re: The Evolution of NumbersSo, Ricky, you agree it is OK to keep √(9) = 3i ? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #12 20070714 00:33:25
Re: The Evolution of NumbersYep, looks good. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #13 20070714 10:27:12
Re: The Evolution of NumbersThanks, I might publish it on the "New Pages" page now. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman 