User:Freenaulij/Division by Zero
From Wikipedia, the free encyclopedia
Okay, when we first learned addition and subtraction we learned that we couldn't subtract a large number from a smaller number right. Well, later we learned a new concept, negative numbers, and we could subtract larger numbers from smaller numbers.
Later, in middle school, we learned that it wasn't possible to take the square root of a negative number. Then, about a year or so later we learned we could with the imaginary number i.
In both of these cases, we never learned why we couldn't do these things we just accepted what the math book told us because trying to do these things took a lot of thinking and so we accepted that it couldn't be done.
Now, all along, ever since we learned division, we have learned that it is not possible to divide by zero, but I have yet to have a math book give me a reason as to why division by zero is not possible. When we first learned elementary division, division by zero was not plausible because we learned division as making groups out of something. It therefore makes sense that we cannot have zero groups of something and we took division by zero as an impossibility.
So, I decided to contemplate the division of zero.
The result I came up with and the result I am currently standing by, because no one can give me a reason to why its wrong, is that 1/0 = infinity.
I am now going to try and convince you that the definition of division can be extended so that 1/0 is infinity through a mathematical proof demonstration, two examples of functions, I'm going to address the problem of elementary division, and I will give some properties that can be extended from this if it is taken to be true.