Let’s start with a couple propositions:
The Identity of Indiscernibles
Two objects are identical when they share all the same properties.
The Indiscernibility of Identicles:
If two objects share all the same properties then the two objects are identical.
At a glance, they both seem obvious enough that even mentioning them feels like a waste of time. Things get a little more complicated, however, when you consider the “position” of a property, since it’s also agreed upon by all that no two objects can occupy the same space at the same time. If object x and object y truly share all the same properties, including position, then x and y are truly “identical” in that they are the same object. Even this isn’t terribly controversial (although some have argued against it), but when you apply it to real life something odd can occur, as seen in the following example. … Read the rest