I have written to scholarly professors and the Clay Mathematic Institute regarding this proposal, and all to no avail.
In reading a basic book that overviews a short list of significant mathematical theories, and one of them discusses the idea of some number other than zero being divided by zero. It clearly states that such a solution is 'undefined.' Furthermore it says if 7 / 0 = b than by cross-multiplication 0 x b = 7, and that there is no solution for that equation hence it is undefined.
I believe that there is a solution.
If 1 x 1 = 1, and 1 x 0 = 0, then I propose that 0 x 0 CANNOT = 0.
1 x 1 = 1 implies that the first number (1) is existing '1' time. 1 x 0 = 0 implies that the first number (1) is existing 'no' times, just like 1 x 5 = 5 implies that the number '1' is existing 5 times, or vice versa.
Therefore, 0 x 0 implies that '0,' or 'nothing,' is existing NO times, or '0' times. In order for zero NOT to exist, there must be SOMETHING! That is why I propose that 0 x 0 does not equal 0, but instead 0 x 0 = NON-zero (or any number other than zero).
7 = nonzero so therefore 7 / 0 = 0, and through cross-multiplication, 0 x 0 = nonzero = 7.
Any other thoughts on this topic?
I cannot think of a better way to describe this concept, but I believe it to be true.
Did you really send this to the Clay Mathematics Institute? (Blush)
Yeah, so what do you think?
Honestly? It felt more like reading the book of Genesis than mathematics.
Originally Posted by mykgram2
I though of an easier way to put this current discrepency; it's similar to the double-negative notion:
0 x 0 cannot = 0 because nothing not existing, or the absence of nothing, is something. 1 x 0 = 0 because something is existing no amount of times, or it is the absence of something, which is nothing. The absence of nothing is something so therefore 0 x 0 must equal anything other than 0, or non-zero if you will...