Dividing by Zero

Dividing by Zero

Dividing by zero has been tricky for mathematicians for many years. To this date, it's been deemed "unresolved", even by the best calculators. Many a mathematicians have tried to resolve this paradox, but all of them have failed for one reason; they tried to use math. The answer is ironically simplicity itself, but that is what you get when it comes to 0.

Many a people might first assume that 1/infinity is equal to zero. To some, this may seem valid; divided by enough, literally enough, infinity, and you will get nothing. Thus, 1/infinity = 0, thus, 1/0 = infinity. It must; when you divide by nothing, you can fit nothing into something an infinite amount of times! Except that, division isn't about fitting things into things; it's about coming out with equal portions. 10/8 is 1.25, and is in fact not 8, nor 10. It is not about fitting that number in there, but coming up with no spaces in between. Thus when you have an infinite amount of spaces in between, you do not have division. You have unresolved.

The reverse paradox of 1/infinity would appear to be zero; enough times, you get zero. But you do not; take a pie, for example. You cut it into 1 piece, you have one pie; two pieces, you have half a pie, four, you have four slices, 8, 16, etc. so on, you each have a piece of the pie. When dividing by infinity, no matter how small, you still in fact have a pie. That pie still exists. That 1, or that 85, divided by infinity,  still equals a pie, at the end of the day. Thus, when dividing by infinity, you still end up with a slice of pie, no matter how small, since you are essentially, dividing a pie.

But what happens with zero? What happens when you take a pie and divide by zero? Do you get 1; that is, a pie? Do you have say, a single pie, thus anything divided by zero is one?! Sadly, no. A pie divided by 1, is one pie. Thus, when you divide by one, that is, make one slice, you still only have one pie, or 85 pies, depending on how many pies you started off with. So thus, dividing by zero is sadly not dividing by 1, and sadly, dividing by 0 does not mean just one pie. Thus any number, which is a place holder or that even has theoretical value, must always still have value.

But what do we do then?! What is anything divided by zero?! The answer is quite simple really; and equal to pie divided by zero; nothing. You literally get nothing. When you divide 1 pie by 1, you get one pie; when you don't slice a pie at all, you are ignoring it. You simply are not paying attention to it; there may even not be a pie to begin with. There simply is no pie. The answer, is nothing; you DO nothing. You simply have done nothing; and this, all you get is, nothing. Not a number, not a figure, but nothing. You do, nothing.

Now, luckily, there is a very convenient way to represent nothing in mathematics, which has transformed many a civilizations; zero. The simple zero is the place holder of nothing. Thus when you divide by zero, you get nothing, or zero. 85/0 is 0. You have done nothing. Now here's what will really bake your noodle.

The same is true for all other equations. 1+ 0 = no change. 1 - 0= no change. 1 x 0 = no change. What is so different about dividing? That it must fill the blanks? This is true, to some extent. But consider that zero is neutral; when you are multiplying by zero, what are you doing? This too should end up meaningless; 2 x 2 is not 3, just because it fits up to four, so, so too should 2 x 0 not make any sense. But the answer is not simply that you have no change; it's nothing. You literally get nothing.

Now, this should have been obvious to mathematicians everywhere! Consider that you already divide by zero already. What is 50/10? Ahh, 5 you say. But why?! You just divided 5/0! Think about it; in the algorithm, you get, say, 50, and you get 10.


50
10


The above is obvious; 0/0, makes sense. But what of 5/0? What do you get then? 0. Nothing. Not a real thing; because you did nothing. It's just a place holder; it literally has no value. It is neutral beyond just negatives and positives, but of all values! Thus in multiplication and division you get no change, but this is represented as nothing. As you complete the equation, 0 is divided by 1 and then 5 is divided by one; you then get 5, but the two zeroes do not stack, and simply are added as, 0, and the 5 does not move up a place. Thus, you have divided by zero; and gotten nothing. Not 5, not infinity, but nothing.

Thus, any figure divided by zero is nothing, and this was obvious the entire time. And since nothing happens to have an easy mathematical figure to represent it, 0, it could be postulated that dividing by zero, is zero, or at least nothing.

Thus the simplest way to explain dividing by zero.


More in depth stuff
The age old adage of multiplication the inverse of division; we cannot find the answer through this, it must already be known. But the concept of, what is 6/0 = ???. So say, now we get, ??? x 0 = 6? The answer is this is impossible. But it's not looking at it in the correct light. It postures, you cannot find anything multiplied by zero that would equal six (or any number number) so thus there must not be a solution.

Completely ignoring that the mathematical equation may be illogical itself. It's true, nothing multiplied by 0 will ever equal six. But, anything divided by zero is equal to zero. Thus, the answer is not, what multiplied by 0 is equal to 6, but that 6 divided by zero is zero, or 6/0 = 0. Thus you have a solution to this conundrum, but this conundrum cannot be used to find the solution. You must already know, the answer. It is something math nor logic can find.


Limits
In calculus, limits are a number a figure approaches, but never actually reaches. At first glance, one might say that 1/infinity is zero, since in calculus, summations find it to be zero; but this is false. Summations inherently approach figures but never reach them; limits are the figure it's always approaching but never reaching. This is somewhat intuitive, but there are advanced mathematical ways for confirming this. 

Thus, in the same way, perhaps the limit of 1/0 is infinity, to some degree, but it's not. That's because you must find what it fits into, and it does not fit all the way; it is about leaving no gaps, as 10/8 = 1.25, but not 1, since one can fit, but does not fit completely. Thus division requires a complete fit; and 0 will never fit into one. Thus 1 seemingly cannot be divided by zero; on the other hand, it can not be multiplied by zero, since this would similarly imply no value. This is represented as zero however, just as it is in multiplication.