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Infinity

Written by Moo on Wednesday, 4/24/2002

INFINITY

(C)opyright 4-24-2002 by Moo Cow Moo (Mike Christiansen)

Any correlation between these written theories and any theories you have is purely coincidental.

All credit is given to theories by other people, with permission.

Infinity. What is infinity? Infinity is "the assumed limit of a sequence, series, etc., that increases without bound." (1) To most people, infinity is the last number that exists. Ask any math teacher, and they'll tell you that there IS no last number. They just keep going, and going, and going.... Anyway. If the last number is infinity, and there is no last number, does infinity exist?

One of the most common ways to get infinity is dividing by zero. Yes, I know, all through math, you've been told it's a no-no. Well, you /can/ divide by zero. Here's one theory about dividing by zero : "look
at the sequence of numbers 1/(1/2), 1/(1/3), 1/(1/4), ... . Notice that the bottoms of the fractions are 1/2, 1/3, 1/4, ..., and that they're going to zero. So if there's a limit to this sequence, we would take that number and call it 1/0. So let's see if there is. Well, the sequence turns out to be 2, 3, 4, ..., and that goes to infinity. Since infinity isn't a real number, we don't assign any value to 1/0. We just say it's undefined." (2)

So we got the idea that we CAN divide by zero. but how do we get that it's infinity? Well, it all goes back to elementary school. Say you have 4 apples, and you wanna split it evenly between 2 people. Thats 4/2. Each person gets 2 apples. If we wanna give the apples to 1 person, each person (the only one) gets 4. Now, ignoring the apples and people (which limits us to integers), we can say 4/.5. That's 8. This continues, until the bottom reaches 0, then we stop. So we can say that x in k/y=x varies inversely with y. That can be illustrated here.

y |\
| \
|  \
_________________|___\______ x
|
|
|
|

Allright. So we reach 0. What happens? Well, we want to divide 4 into 0 groups. That kind of presents a problem, cuz we HAVE to put the 4 items SOMEWHERE. That's why most mathmeticians call it undefined.

So we never reach infinity. We just keep going and going and going.... Well, if in k/y=x x varies inversely with y, then as x approaches infinity, y approaches 0. Well, we never reach infinity. Do we ever reach 0? Since we never do, does zero exist? Well, thats for next time. Cya and thanks for reading!

-Moo

AIM : IAmNamedMoo
E-Mail : [email protected]
Phone : (502) 777-7456
Best time to call : 9:30 - 10:30 (PM) EDT

SOURCES AND QUOTED WORKS
(2) https://www.mathforum.org/dr.math/problems/divide.zero.html

Finished 4-24-2002 10:30 PM EDT 409 words

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