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Type | Created | Category | Creator | Sort | Votes | Hides | Rating | |

essay | 26-Sep-2006 | quiz | Iseult | by votes | 55 | 5 | 54.9% |

Bonus question: infinity divided by infinity?

User | Comment |
---|---|

LindaH | posted 27-Sep-2006 4:19pm 1/6 of infinity |

bill | posted 27-Sep-2006 4:29pm infinity 1 |

CarolL | posted 27-Sep-2006 5:01pm The same thing as infinity divided by 30/5 |

ausfox | posted 27-Sep-2006 5:13pm Infinity |

Liss | posted 27-Sep-2006 5:45pm Infinity six Ha! |

dab | posted 27-Sep-2006 6:57pm Infinity The answer to the bonus question is "it depends". It's commonly one of infinity, one, or zero but it can be anything. |

Enheduanna | posted 27-Sep-2006 7:06pm Infinity. |

llamamama | posted 27-Sep-2006 7:23pm infinity divided by infinity..is one. duh infinity divided by six is one sixth of infinity...Double duh... |

Zang | posted 27-Sep-2006 7:53pm First question: Either it's still infinity or you can't do that. It's kind of meaningless. Bonus question: Anything divided by itself is one. Or (again) it can be done. Infinity isn't just some impossibly large number; it's a concept that doesn't always apply the way a number would. I'm no expert, but I was willing to hazard some guesses. |

RGirl | posted 27-Sep-2006 8:01pm It is still infinity. Bonus question- you can't do that with infinity. |

dab | posted 27-Sep-2006 8:13pm Oh, wait a minute. I was thinking of zero divided by zero. That can be anything, depending. I haven't studied infinity divided by infinity though I suspect the answer is the same: it can be anything, depending on how you got to infinity. |

southernyankee | posted 27-Sep-2006 8:17pm infinity uncountable infinity or countable infinity |

Iseult | (reply to dab) posted 27-Sep-2006 8:52pm Well infinity is still infinity, doesn't matter what it is and how you get it. I guess. I mean, it's always the same, it's just infinite. I've spent last couple of days debating with myself whether infinity over infinity is one or still infinity. So far I'm highly in favour of one, but I can't get rid of the other possibility. I really wanted to hear how other people were reasoning this whole concept. |

Enigma | posted 27-Sep-2006 9:47pm Don't know, if I had to guess I'd say "infinity" or one... I'm probably wrong though. |

dab | (reply to Iseult) posted 27-Sep-2006 10:37pm No, there are different infinities. The usual example of this is the number of integers and the number of real numbers. There are more real numbers than integers even though both are infinite. This wikipedia article talks about it in more detail: http://en.wikipedia.org/wiki/Aleph_number With the comment about "how you got to infinity", I was analogizing to what you do in calculus when you try to calculate 0/0. You kinda sneak up on the answer, getting closer and closer to those zeros, and try to figure out where you're going. On more thought, I don't think it's very analogous to infinities. |

cabinfever | posted 28-Sep-2006 1:03am 2! |

icurok | posted 28-Sep-2006 3:28am Infinity divided by any finite number is infinity. Infinity divided by infinity is not only one, but every other finite number. |

ROCKMAN | posted 28-Sep-2006 5:09am I don't think you can do it. |

romkey | posted 28-Sep-2006 9:18am Infinity divided by six is infinity. Infinity divided by infinity... which orders of infinity are you talking about? |

esabris | posted 28-Sep-2006 11:23am 1/6 of infinity |

Jody | posted 28-Sep-2006 12:23pm infinity |

Danger | posted 28-Sep-2006 7:37pm Infinity divided by six is the inverse of six divided by infinity. Although in mathmatical terms, it's still considered to be infinity. Infinity over infinity is one, because the limit of x/x as x approaches infinity is one (the x's cancel before you substitute in the infinity, ergo the answer is decidedly one). (I'm a math geek) |

kirst | posted 29-Sep-2006 1:50am 1/6 of infinity one |

docgbrown | posted 29-Sep-2006 2:45am infinity and 1 |

Liss | (reply to icurok) posted 29-Sep-2006 6:56pm That's really quite scary |

CGTREE | posted 30-Sep-2006 2:04pm 9 |

mve17 | posted 30-Sep-2006 3:55pm I'm too bad at maths to know whether that's a joke or not. |

gambler | posted 30-Sep-2006 4:43pm infinity? |

hypersky | posted 1-Oct-2006 4:43pm Six chunks of infinity, I guess. Infinite chunks of infinity for the bonus. |

islandhopper | posted 3-Oct-2006 6:47pm Do not ask me...OK |

cloudhugger | posted 3-Oct-2006 9:31pm Infinity. |

Porcupine | posted 8-Oct-2006 8:41pm infinity |

icurok | (reply to Liss) posted 19-Oct-2006 3:15pm Oh, I forgot to ask. Have you ever heard of Hilbert's paradox of the Grand Hotel? |

Liss | (reply to icurok) posted 20-Oct-2006 9:30am Nope. What is it? |

icurok | (reply to Liss) posted 20-Oct-2006 11:32am Imagine you're the reception desk manager at a hotel with a finite number of rooms. If it's full, you can't give a room to anyone else. But now imagine you're the reception desk manager at a hotel with an infinite number of rooms. You'd think you might suffer from the same problem, but there is a way round it. If you have an infinite number of guests staying at the hotel and a new guest arrives at your welcome desk, you simply announce over the speaker system that all guests should immediately move to the room one number higher than the one they're already in (and apologise for the inconvenience). Then you tell the guest at the desk that they can move into room number 1. Easy. But, what if you have an infinite number of guests already staying at the hotel and an infinite number of new guests arrive at the reception desk? Well, that's easy too. You simply announce over the speaker system that all guests should immediately move to the room that is double the number of the room they're already in (and apologise for the inconvenience). You then tell the assembled infinite guests that all the odd rooms are free. Infinity is weird that way. |

Liss | (reply to icurok) posted 20-Oct-2006 11:41am Wow, that's really... um, wow. I have to stop thinking of infinite/infinity as just really big number... |

stonewolf | posted 27-Oct-2006 9:42pm infinity |

deedeedee | posted 2-Nov-2006 12:42am Infinity. |

prospero | posted 3-Nov-2006 12:12am Infinity |

kitti723 | posted 4-Nov-2006 2:19pm wouldn't that be infinite? |

patarnone | posted 27-Nov-2006 12:18am Say what? |

blondie20 | posted 23-Feb-2007 11:14pm Infinity |

LimpingFury | posted 25-Sep-2009 7:08pm Infiniy divided by six: Bruce Lee, plus or minus Chuck Norris Infinity divided by infinity: Mr. Rogers |

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