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> How do you divide one set by another set? By defining it as the inverse of multiplication, of course! (Assuming the inverse exists.) A number n can be defin
by valtron 13y ago
> How do you divide one set by another set?
By defining it as the inverse of multiplication, of course! (Assuming the inverse exists.)
A number n can be defined as the class of all sets that are 1-to-1 with { x1, ..., xn }, where xi are distinct "things".
Then, x * y is the class of all sets that are 1-to-1 with the cross-product of any element of x with any element of y.
(2/3 is the wrong answer according to this definition; the right answer is any n > 0 or aleph 0).
- lmm 13y ago>(2/3 is the wrong answer according to this definition; the right answer is any n > 0 or aleph 0). Which is exactly the problem: it's not well defined.