(1) How to read TLP? –One proposition at a time, like a logiholic.
(2) TLP is a prose poem of logic–it complicatedly inherits a literary tradition inaugurated by Parmenides.
(3) Wittgenstein (from Culture and Value) around 1930, but apropos of TLP (and, mutatis mutandis, of PI):
Each of the sentences I write is trying to say the whole thing, i.e., the same thing over and over again; it is as though they were all views of one object seen from different angles.
(4) Wittgenstein considered titling TLP something else–Der Satz, The Proposition. The book isolates the look, the physiognomy, the sound, the structure of the proposition–a literary and a logical task. It prioritizes the proposition stylistically and philosophically.
(5) Ronald Gregor Smith wrote of Martin Buber’s I and Thou:
To the reader who finds the meaning obscure at the first reading we may say that I and Thou is indeed a poem. Hence it must be read more than once, and its total effect allowed to work on the mind; the obscurities of one part…will then be illumined by the brightness of another part. For the argument is not as it were horizontal, but spiral; it mounts, and gathers within itself the aphoristic and pregnant utterances of the earlier part.
Just so, exactly just so, of TLP too. I have been stressing the necessity of allowing the total effect of TLP to work on your mind.