>>7299171Your interpretation doesn't sound to me to be right, so much so that I expect you'll be confused with the rest if you stick with this interpretation.
Throughout the Tractatus, Wittgenstein paints atomic facts largely in physical terms, although they also have logical aspects. "The Apple is red", "Carbon atom #298765239874253 is in such-and-such a volume of space at this time", "2+2 = 4" are my suggestions for the type of thing that he has in mind: simple statements (that still have some composite-ness to them, which is addressed thus: "In the atomic fact objects hang one in another, like the members of a chain."-2.03, "In the atomic fact objects are combined in a definite way."-2.031). So one atomic fact over there presupposes a bunch of composite stuff to make it work: we agree on what red is, where the volume is, how arithmetic works etc. Moreover, the atomic fact has to actually be the case, even though the negation is thinkable, so what actually is, is just a subset of logical possibility.
He's really just setting up a concept of some simple p, q, r etc atomic facts (we don't care which) that he/we can then do two-valued logic with. This two-valued-ness of things is emphatically clear when he builds his version of truth functions, and builds up to it with this (my paraphrase):
"With regard to the existence of n atomic facts there are K_n possibilities, where
K_n = SUM( (n choose v) , v , 0 , n ) . " -4.27
This is always equal to some power or two. One atomic fact p? You have either p or ¬p. Two possibilities. Two atomic facts p, q? You have something like (p,q) (p,¬q) (¬p,q) (¬p,¬q) , four possibilities, and so on.
There is an unusually good wiki page that I always recommend to people on this stuff, have a look:
https://en.wikipedia.org/wiki/Truth_functionThis is totally germane to what you're reading (having derived from it!); the graphs and the operations are what you really want but read the rest too. It should either be marked as "good" or "featured" IMO, and no I didn't contribute anything to it.
