'1.21 Any one can either be the case or not be the case, and everything
else remain the same.’
what does this mean?
I think I can be in on this as well.
here is Part II:
https://forum.freecapitalists.org/t/tractus-logico-2-2-063/23196
Here is Part I:
https://forum.freecapitalists.org/t/tractatus-logico-1-1-1-21/22693
'1.21 Any one can either be the case or not be the case, and everything
else remain the same.’
what does this mean?
I think in 1.2 [=The world divides into facts] he is dividing his “logical space” into what Rusell in the intro “atomic facts”. Here he is aying that these atomic facts are independent of each other [meaning there could exist possible concrete universes where any combination of truth or falsity of the atomic facts would be the case].
Here is Russell:
Facts may contain parts which are facts or may contain no such parts; for example: “Socrates was a wise Athenian”, consists of the two facts, “Socrates was wise”, and “Socrates was an Athenian.” A fact which has no parts that are facts is called by Mr. Wittgenstein a Sachverhalt. This is the same thing that he calls an atomic fact. An atomic fact, although it contains no parts that are facts, nevertheless does contain parts.
Also:
A proposition (true or false) asserting an atomic fact is called an atomic proposition. All atomic propositions are logically independent of each other. No atomic proposition implies any other or is inconsistent with any other.
[Technical note: The latter quote of Russell’s dicusses atomic propositions, [not atromic facts] and asserts they are independent of each other. But that of course is because the atomic facts themselves are independent of each other, which is what Witt is asserting in 1.21].