It’s almost 4am and I may be totally out of my mind–but this popped into my head about an hour ago.

let } define the output or the “yield” of a mathematical operation.
Here are the two points I am going to make:

1) x divided by zero yields zero: x/0 } 0

2) x divided by zero equals x: x/0=x (with = defined as the balance point)
Imagine you have a cake cut into 6 slices.

If I divide your cake by 2, taking 3 of those 6 pieces, you keep the other 3. When I divide your cake’s 6 pieces by 2, 3 pieces don’t magically disappear from the universe. Therefore:
6/2 != 3; (that is 6/2 does not equal 3)

6/2 = 3+3;
6/2 } 3; // (6/2 yields 3)

I divide your 6 parts by 6, taking 1 part of 6 (1/6), 5 other people each take 1 piece or 1/6.
I divide your 6 parts by 3, taking 2 parts of 6 (2/6), 3 other people each take 2 pieces or 2/6.
I divide your 6 parts by 2, taking 3 parts of 6 (3/6), 2 other people each take 3 pieces or 3/6.
I divide your 6 parts by 1 (all for myself), taking 6 parts of 6 (6/6 or 100%). You keep 0/6.
I divide your 6 parts by 0 (nobody wants any), taking 0 parts of 6 from your cake (0/6 or 0%), you keep 6/6.

Therefore:

6/0 = 6;

6/0 } 0;
I won’t be hurt if you find a good argument for why this is totally absurd. I’m heading back to bed. Hopefully writing it down will be enough to let me sleep.