@Reyn,
Reyn wrote:
Can anything be really absolutely identical in every which way?
Identity is a relation. Nothing can be simply, "identical" , it has to be identical with something. That does not mean that something cannot be identical with itself. Indeed, everything has the property of being self-identical. Unless X is identical with X, there is not X. (X=X is one way that logicians express the proposition that X exists).
By "strict" or "numerical" identity is meant "one and the same" . Thus, for instance, Mark Twain and Samuel L. Clemens are numerically (strictly) identical. Or, in other words, there are not two persons, one named, Mark Twain, and the other, Sam Clemens. There is only one person, but there are two names. They are one and the same person. On the other hand, as contrasted with strict identity (numerical identity) there is
qualitative identity. Two things (really two things, now) are qualitatively identical (or "the same") when they have
all of their properties in common. What is not clear at all is whether it follows that when two things have all their qualities in common, then they are one and the same thing, that is, strictly identical. Can X and Y be qualitatively identical and not also be quantitatively identical (or strictly identical, or numerically identical"? On the other hand, turn it around and ask the question, an any (putatively) two things, X and Y be qualitatively identical (that is have all their qualities or properties in common) and still not be numerically (strictly, quantitatively) identical? And you can see that the answer to that question is, no. So, it is not at all clear that what is qualitatively identical is numerically (or quantitatively identical). But it is clear that what is numerically identical (strictly identical, quantitatively identical) is also qualitatively identical.
The concept of identity, along with that of knowledge, truth, morality, and a few others, is one of the central concepts of philosophical (and ordinary) thought, and the understanding of these concepts and their analysis, is the primary job of the philosopher.