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

You are not logged in. #1 20061014 18:50:44
Story about infinityA very large mathematical convention was held in Las Vegas. The conventioneers filled two hotels, each with an infinite number of rooms. The hotels were across the street from each other and were owned by brothers. One evening, while everyone was out at a barbque, one of the hotels burned to the ground. The brothers got together and worked out a plan. In the remaining hotel, they moved all guests to twice their room number  room 101 moved to 202, room 1234 moved to room 2468, etc. Then all the odd number rooms were empty, and there were an infinite number of odd rooms. So the guests from the other hotel moved into them "Let us realize that: the privilege to work is a gift, the power to work is a blessing, the love of work is success!"  David O. McKay #2 20061014 22:03:52
Re: Story about infinitySo, you can fit two infinities into one! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #3 20061015 05:08:12
Re: Story about infinitySome infinities are larger than other infinities. Love is what matters most! #4 20061015 09:49:07
Re: Story about infinity
Actually no. The problem in the opening post and your fingers and hands have nothing to do with larger infinities, but rather infinities of the same size.
What we find is that even though some mathimatical concepts don't actually exist in the real world, they still have applications in the real world. It's as true as it is weird. "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..." #5 20061015 11:33:07
Re: Story about infinityA bijection from integers to odd integers would be f(x) = 2x1 (as an example, not the only one) "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #6 20061015 16:15:18
Re: Story about infinityFor a similar discussion, go to Hilbert's hotel. Character is who you are when no one is looking. 