To make things even more fun:
Take an image x, decimate it, and obtain a lower-resolution version of it, which we call z. Are x and z the same image?
Mathematically, no. But when displayed on the screen, then most people would say they are the same. Of course, it depends on the definition of is, but such discussion would be utterly pointless. If we use the same definition, then there's no ambiguity.
I'm not trying to continue an argument, but rather just point out that the philosophy of identity can be an elusive thing.