only things which possess all the necessary characteristics fall into the category 'cup'.
I understand what apoha is.
If you exclude everything which is not a characteristic of an object,
whatever remains is what characterizes the object.
But this is where you have to be careful.
if you walk into your kitchen and find a broken cup on the floor,
you still regard it as a cup, a broken cup
and not a pile of unidentifiable matter.
Eliminating characteristics, which is process of negation,
only establishes something in terms of what it is not.
This is not the same as establishing something
in terms of what it is.
Just because I am not in the car
does not mean I am in the house.
So, are you asking
what happened to that thing that was established
through the process of apoha?
This is like the story of the three travelers
who over paid for their room.
Three travelers stop at an inn
and the desk clerk charges them each $10
so all totalled ,they pay $30.
later the innkeeper tells the desk clerk that
because they are sharing one bed,
the rate should only be $25
and to take $5 back to the 3 guests.
The desk clerk doesn't know how he will divide $5 among 3 men
so he keeps $2 and gives each guest $1 back.
So, the problem is,
The three guests have now each paid $9 and 9x3 is $27
the desk clerk kept $2
2 + 27 = 29
But they originally paid $30
So what happened to the extra dollar?