The mathematical mystery of zero (0)

Generally, every and anybody that has even the slightest knowledge of mathematics knows that anything divided by zero is indeterminate, undefined or more technically, tends to infinity. The same way we agree that anything multiplied by zero is zero. There are different proofs, postulations and theories that attempt to buttress this idea, from different mathematical perspectives. The most dominant been that if a number is divided by a given divisor to obtain a certain quotient, then, when that same quotient multiplies the original divisor, we should be able to obtain the original number. In other words, multiplication cancels out division and vice versa. 

There are many such proofs and I have decided not to bother you with the cumbersome details.  Most, if not all available facts and figures are in line with the following

• multiplication by Zero equals Zero 
• division of a non-zero number by Zero is undefined
• division of Zero by Zero is indeterminate 

Note: for better understanding, the terms undefined and indeterminate are explained below:

• If a value is undefined, it means that such value does not exist and as such cannot be obtained
• If a value, say k, is indeterminate, it means that such a value could actually exist, but the value is ambiguous, that is, there could be much more than just one value for k.  

This notwithstanding, one can not help but wonder, "what if?"


After all, Science and Mathematics are technically just a bunch of proven and unproven "what if?s".
Having said this, I thus put forward my theory. I believe that the division of "0" by "0", as a matter of fact, is highly subjective. To be able to effectively obtain a value for dividing zero by another zero, one needs to accurately evaluate the source of the zero itself. This statement might sound somewhat puzzling, but, in reality, it is actually very simple. There are different evaluations and calculations that can yield a zero as an answer. For instance, the following values will all give zeroes as their final answers on calculation.

• Log_x1 = 0, the logarithm of 1 to any base equals zero
• 100 - 100 = 0, simple mathematics

Now, using the above values of zero, we can substitute and prove that division of zero by zero can actually be defined or determined.

Below are some evaluations of divisions of zero by another zero

method 1: using simple arithmetic and the principle of the difference of 2 squares:

Therefore 0/0 = 2

method 2: using the reverse of the principle above:

Therefore, 0/0 = 1/2

method 3:using simple logarithm principles:

The above proves the subjectivity of the division of zero by zero. We can see that for different assumptions of the actual value that yielded zero, we obtained different results (i.e. 2, 1/2 and 1). It is therefore my postulation that by substituting the value of zero as other subjective values, different determinate and defined values can be obtained for it.

Below are evaluations of cases where other numbers are divided by zero:


Generally, the laws of logarithms seem to ascend the laws of the zeros, some of the instances where this can be seen are shown below:


Meanwhile, there have been strange and baffling reports of calculations involving divisions by zero causing mechanical and technical faults to mechanical systems. For instance, On September 21, 1997, a division by zero error on board the USS Yorktown (CG-48) Remote Data Base Manager brought down all the machines on the network, causing the ship's propulsion system to fail. Amazing, right? So, next time you want to try this controversial calculation, make sure you are in a secure location without any heavy machinery.


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