Multiple dispatch screams for the abolishment of methods as properties of objects, in favor of generic functions.
Youc an still have the syntactic sugar obj.foo(arg), but it basically just translates to foo(obj, arg) where foo is a generic function not associated with foo's class in any way, and obj and arg have equal status.
This generic function is what has methods.
Say we implemented "funky" numbers, and would like to implement multiplication of funky and real. When funky is the left argument we get funky.mult(real). If real is no the left, we get real.mult(funky). These functions do the same thing (the multiplication is commutative), yet ... they have to live in separate classes? It is nonsensical.
Under generic functions, we just have mult(real, funky) and mult(funky, real) which are methods of the generic mult(whatever, whatever). They both belong to the one generic function: that is the more reasonable organization.