I was somehow thinking of division by zero in the shower or something the other day, and got something that convinced me about it's undefined-ness.
If we take the equation `x = a/0` and solve for a we get:
```
x = a/0 |*0
a = 0x
a = 0
```
Since `a` could be any number, the statement is false unless `a` is defined as zero or there exists some number `x` which when multiplied by zero does not yield zero.
In this case though, even if `a = 0`, we can't really determine `x` because `0/0` is not something commonly defined in mathematics.
I don't know what the point is of having no apples and no baskets to divide them in to.
If we take the equation `x = a/0` and solve for a we get:
``` x = a/0 |*0 a = 0x a = 0 ```
Since `a` could be any number, the statement is false unless `a` is defined as zero or there exists some number `x` which when multiplied by zero does not yield zero.
In this case though, even if `a = 0`, we can't really determine `x` because `0/0` is not something commonly defined in mathematics.
I don't know what the point is of having no apples and no baskets to divide them in to.