posted on Aug, 14 2012 @ 04:53 PM
reply to post by NewAgeMan
Because ∞ isn't a number. I can't divide table/saw because neither a table nor a saw are numbers.
I am going to use a proof by contradiction to prove what I am saying.
To start let us assume that ∞/∞ = 1.
Now let us define the ∞ in the numerator as the set of all real numbers (
R) and define the ∞ in the denominator as the set of all natural
numbers (
N).
This is possible because I know that
R and
N are both infinite sets.
Therefore we can substitute this for the original equation:
R/
N
By using properties of countable sets I can say that
R !=
N
Since the only way for two operands to be divided together to equal 1 is possible is if they are equivalent I can say that
R/
N != 1
QED
Also like to add that this proof assumes that you can divide with ∞, which you can't.
edit on 14-8-2012 by Krazysh0t because: (no reason
given)