Page:Wittengenstein - Tractatus Logico-Philosophicus, 1922.djvu/65
be replaced according to the rules of logical syntax.
3.3441 We can, for example, express what is common to all notations for the truth-functions as follows: It is common to them that they all, for example, can be replaced by the notations of “~p” (“not p”) and “p∨q” (“p or q”).
(Herewith is indicated the way in which a special possible notation can give us general information.)
3.3442 The sign of the complex is not arbitrarily resolved in the analysis, in such a way that its resolution would be different in every propositional structure.
3.4 The proposition determines a place in logical space: the existence of this logical place is guaranteed by the existence of the constituent parts alone, by the existence of the significant proposition.
3.41 The propositional sign and the logical co-ordinates: that is the logical place.
3.411 The geometrical and the logical place agree in that each is the possibility of an existence.
3.42 Although a proposition may only determine one place in logical space, the whole logical space must already be given by it.
(Otherwise denial, the logical sum, the logical product, etc., would always introduce new elements—in co-ordination.)
(The logical scaffolding round the picture determines the logical space. The proposition reaches through the whole logical space.)
3.5 The applied, thought, propositional sign, is the thought.
4 The thought is the significant proposition.
4.001 The totality of propositions is the language.4.002 Man possesses the capacity of constructing languages, in which every sense can be expressed,