is the difference between "states of affairs" and "atomic facts" reconcilable? — Arne
Once more into the breach -- assuming "states of affairs" here is
Sachlagen.
It jumps ahead a little but illustrates my trifle... — Posty McPostface
And Max Black notes that
Sachverhalten and
Sachlagen are really hard to distinguish.
Let's look at it this way. What can objects "do"? What sorts of things happen to objects?
Here's one way of thinking about this. Suppose your domain of discourse has two objects called
a and
b. (This is an analogy, using math.) You can make a set {
a,
b}. This possibility is intrinsic to
a and
b being in your domain. There might also be some relation
R that holds between
a and
b:
aRb is true. Part of the formalization of
aRb might be something like {
a, {
a,
b}}.
When we look at
a, we could say it might find itself in something like {
a,
b}, or in something like {
a, {
a,
b}}. In the first
a is "combined" with another element; in the second it is "combined" with another element in a more particular way. If there are other relations possible between
a and
b, the latter may not be specific enough to distinguish
R from any other relation or function. At least it's distinct from {
b, {
a,
b}}.
Roughly speaking, I think of
Sachlagen as the possibility of an object coming together, being combined, with other objects in some way, perhaps not precisely specified. But W says that in
Sachverhalten, objects are combined in a definite way.
Of an object participating in a
Sachverhalt, we could say: it is combined with other objects, it is combined with other objects in a particular way. We could also
not look at the other objects and just say it is part of a
Sachverhalt -- which implies other objects that are also parts. All of these different ways of looking at a
Sachverhalt and an object combined in it will be true. I think of
Sachlage as being a way of thinking about it in terms of other objects, coming together with them, maybe even coming together with them in a specific way -- looking at the whole thing with a focus on the elements. I think of
Sachverhalt as the totality, like a set of objects together with a relation defined on that set. An object can be part of such a totality, and here we focus on the relation between the object-member of and the totality, not between the object and the other objects that are also there.
I think it's just a perspective switch, but it does leave room for applying
Sachlage where the way the objects are combined is unspecified or less specified. Both can be possible or actual, but there is a natural way to take not specifying the "how" as leaving wider usage for
Sachlage, more possibilities. Of course, given a set and a lot of different relations defined on that set (analogy again) there would be more specific set-with-a-relation things than just the set thing -- same way there are usually more permutations than combinations -- so a term for sets arranged in some specific way would have the wider usage.
I've probably not been clear -- too many words -- but this is my sense of how the terms are used, and it doesn't line up at all with actual and possible.