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

You are not logged in. #26 20060419 00:24:18
Re: Infinitythinkdesigns  isn't that why it's so interresting? where the three dots represent an infinite amount of the preceding number. This gives you an infinite amount of 1's, followed by an infinite amount of 2's and then an infinite amount of 3's and so on. Ricky's claim is then that the set would only include 1's, since the proceding numbers wouldnt be included(you can't reach an infinite amount of 1's, which you would need to move on to filling in 2's). Dunno if it helps(or if it's correct? ) #27 20060419 00:55:28
Re: Infinity100% correct Patrick. Think of it this way. At what position in the set would there be a 2?
When you get up to higher maths, you find that all of math is symbolic. "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..." #29 20060419 15:26:52
Re: InfinityThe only thing I deny is my denial. "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..." #30 20060420 02:34:16
Re: InfinityYes, but you can have a set like this: igloo myrtilles fourmis #31 20060420 02:56:38
Re: InfinitySure you can, John. But that set you posted is the same thing as the set {2, 2, 2.....} "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..." #32 20060420 13:28:03
Re: InfinityYeah, sure. Humans have been in battle with flies, bugs and virus for hundreds of years. But that do not prove humans had solved them already. X'(yXβ)=0 #33 20060420 13:34:05
Re: Infinity
the point and assumption you use is that since before 2,2,2.... there are infinite numbers (or elements) of 1, 2 can not exist in the set. X'(yXβ)=0 #34 20060420 14:27:37
Re: InfinityGeorge, you miss the major difference that R is an uncountable set while {1,1,1....2,2,2...} is countable. "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..." #35 20060421 12:23:09
Re: InfinityOkay, I agree since countable sets are such defined. X'(yXβ)=0 #36 20060505 22:29:34
Re: InfinityAn English lesson, that's infinity isn't it? "When subtracted from 180, the sum of the squareroot of the two equal angles of an isocoles triangle squared will give the squareroot of the remaining angle squared." #37 20060505 23:04:32
Re: Infinity
Except 1/0 simply can't be done (any number times 0 gives 0, never 1), so 1/0 is "undefined". "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman 