A number not always represent the same thing, therefore 1 not always equal 1.

My last opponent seems to have missed my concept because of the word "object", and him as well as my first opponent believed that by adding the two fractions, it was an accepted way to show how 1/2 / 1/2 was equal to 1, and prove my statement wrong. I will try to rewrite my original statement in a different way, and at the same time go over these point, of which is very flawed. Demonstration. 1/2 / 1/2= 1 1+0= 1 Half goes into half 1 time. The result 1 is the result of how many times 1/2 went into 1/2. I'll demonstrate exactly of why it is how many times. It is "true" that by adding two halves you get the result of one. *Although I also disagreed that two halves is exactly like one, I won't go that far in this debate, and just concentrate on the resolution*. So for the sake of the continuity, I will "accept" that adding two halves is equal to one. It is a coincidence that 1/2 + 1/2 is equal to the same number as 1/2 / 1/2. The reason I chose 1/2 / 1/2 is because it demonstrates that by dividing two numbers, the result is how many times you "divide" that number, and not really anything you are dividing with. Take 4 divided by 2 as an example. When you first learn this, your teacher probably gave you an explanation similar to this; "If I had 4 apples and had to share with 2 kids, how many apples would each get? " Notice, apple and kids are two different things, why is that? Is because it wouldn't work otherwise, you cannot divide 4 apples into 2 apples, is not possible. You could think you could share 4 apples with 2 apples, and this may seem like it would work. Let's try. Imagine 4 apples, and another 2 apples in different places, you like to join those 4 apples to the 2 separated apples equally, you send two apples to each apple. To have the right result, you will have to only consider the 2 apples that you sent to each apple, as if you add the 2 apples to that 1 apple that you had as a separation of the 2 apples, you would count 3 apples, and that wouldn't match the result. Just like that, you will notice adding won't work in this example, so in the example 1/2 / 1/2, adding should not be consider. But wait, what did I just do? I show that the result of 2 wasn't a result of how many times it was divided, but actual apples. OH no, is this debate over? Well, this is precisely why I use 1/2 / 1/2 as an example. Let's imagine the same as we did with 4/2, but this time using 1/2 / 1/2. Imagine 1/2 of an apple. Another1/2 of an apple awaits to be equally dived. I send 1/2 of an apple to the other 1/2 of an apple. That half apple now has half of an apple, the result is 1, the only way I can get 1 apple is if I join them (which is the mistake of my last opponents), but wait, when I did 4/2 I show that adding cannot work. Oh no, we have a contradiction, ok I guess this debate is pointless, and it should end in a tie. Remember what I stated? That division gives you the result of how many times did you divide whatever you had with whatever it is? Let's see if we gain the same result, if I go by what I first stated. 4/2=2 The two in this equation is a container, the 4 is whatever you are dividing into the container. I have 4 apples, I have a container that holds 2 apples, how many times can this container be filled to the limit? 2 times correct? But remember, in the last example I split 2 (since by the teacher's example, we had two kids, which is two separated entities). So let's do the same, for sake of clarity. I have 4 apples, I have 2 container, each of which holds 1 apple (since I split the containers into two), how many times will I fill each container if I dived the apples equally? 2 correct? Let's do the same with 1/2 / 1/2. I have 1/2 of an apple. I have a container that holds 1/2 of an apple. How many times will I be able to fill such of container? Once right? So 1 time. As we see, by this method, both times we active the results that we wanted, and we could only accomplish by counting on how many times did we divide, or fill the container with what we had. 1 with the addition of 0 remains 1. 1 here is a quantity, which remains the same. If I had 1 apple and I added nothing else in addition, I would just have that same apple. The same apple would be the same 1 apple as before. The numeric 1 from 1 apple does not equal the numeric 1 that you get by how many times 1/2 apple can be inserted in a container that holds 1/2. Therefore 1/2 / 1/2 (which equals 1)=|=1+0(which also equals 1) Therefore 1 does not represent the same 1, which results in 1=|=1. I hope I was more clear this time around. I now await my opponent.