How many different mountains are possible? There is no limit. An infinite combination of atoms could produce a mountain. While all the properties of any individual mountain reduces to its constituent parts, its participation in this general class does not. That of which it partakes (in this participation) is greater than the individual mountain itself, containing "extra" meaning which it does not embody. In other words, the meaning of "mountain" isn't exhaustively expressed by any particular mountain, otherwise, this meaning wouldn't be applicable to all the others (which are different from it). So there is something about the concept that transcends each and every individual member of the class.Fist and Faith wrote: What is added by whatever you mean by essence or meaning?
So, how can this meaning encompass an infinite variety of actual--and possible, nonexistent, or imaginary!--mountains if that meaning reduces to matter?
Another way to say it is that there is no single, definitive "recipe" or "blueprint" you could give, from the bottom-up, that would define a mountain as a collection of matter. The meaning is attached top-down, not bottom-up. The meaning is holistic, not reductive. That which makes any particular mountain eligible to be a member of this class can't be reduced to a single set of properties.
On this basis, it's amazing that we can know what a mountain is. Our understanding encompasses an infinite amount of possibilities, and yet still discriminates between an even greater degree of infinite possibilities among the totality of possible objects whatsoever. Thus, the meaning is both irreducible and yet not arbitrary.
We're talking about a different kind of being here, the Ideal. Essence, not matter. And it's real . . . otherwise, actual objects would not be able to participate in this level of being. Mountains are real. And their distinctive nature is real. The difference between them and rivers is real. But this reality is irreducible.
Another way to think about it is comparing essence to numbers--another type of idea objects. If there are five apples in a bowl, this is a real fact. But that fact can't be reduced to matter, not completely, because the number 5 has meaning even when not applied to objects. We can do math, and find true relations between numbers, even in the abstract. These relations are real; we don't make them up. 5 is 3 more than 2 no matter which objects you apply those numbers to. It is an ideal truth that transcends any individual instantiation of it in the material world. But it is not subjective. When you consider "5" you are considering the same ideal object that I'm considering. It's universal, objective, and yet immaterial. Just like essence.