|This collage/mosaic of HRH Emperor Oliver was produced using the open source software program AndreaMosaic|
For any two things X and Y, X is equivalent to Y
if and only if every property of X is a property of Y,
and every property of Y is a property of X.
It might seem on its face that Leibniz' Law is being violated left and right in the age of reformulation. Nina Ricci L'Air du Temps is no longer L'Air du Temps, because the properties of the early and the more recent perfume bearing that same name are not one and the same. The ingredients have changed, in this particular case, a lot.
What's in a name? I discovered through an auto-Google that my given name is shared by several other people in the United States. I was surprised by this, as my name is not Jane Doe, and it seemed hard to believe that my first name would be attached to the same last name in so many other cases. But it was. As a result, multiple entities bearing no resemblance to me share my name.
The same can be said for sherapop, of course. Who is sherapop? Is she the princess of power? Or is she the philosopher of perfume? Or is she the philosopher of power? Or is she the princess of perfume?
All of these examples illustrate nothing really, because no one ever said that the same name could not be attached to two very different things. An interesting example in natural language is the string of letters g-i-f-t. Gift means present or wife or poison, depending on the language, and most people would consider those three to be very different things!
When a perfume company retains the name of a classic perfume for a less expensive or "re-imagined for the modern wearer" reformulation, have they violated Leibniz' Law? Not exactly, but they are banking (literally) on the fact that consumers will assume that the praise enjoyed by the earlier perfume is shared, transitively, as it were, by the newer perfume.
In fact, the praise only applies or applied to the perfume actually sniffed, and when the two are dramatically different, then speaking of them as the same thing is rather like speaking of the very different people bearing my given name as one and the same, which is absurd. I do not deserve credit or blame for anything done by anyone else bearing my name.
Names are crude bookkeeping devices, no more and no less, but they can be and are used by marketers to a company's advantage.