Yes, m=n is a solution, or set of solutions, but why arbitrarily exclude some solutions and not others?
There is no explanation as to why - eg maybe it could be if the equations represent a physical system and m=n implied the same physical space was occupied by two objects, for want of a better example.
But if the equations represented some kind of abstract concept, why are not all solutions valid and of interest?
It seems like me saying, find an equation that only yields all the primes that use any digit once - but why, to what end and value?
There is no explanation as to why - eg maybe it could be if the equations represent a physical system and m=n implied the same physical space was occupied by two objects, for want of a better example.
But if the equations represented some kind of abstract concept, why are not all solutions valid and of interest?
It seems like me saying, find an equation that only yields all the primes that use any digit once - but why, to what end and value?