Page:Wittengenstein - Tractatus Logico-Philosophicus, 1922.djvu/97

TRACTATUS LOGICO-PHILOSOPHICUS

4.31 The truth-possibilities can be presented by schemata of the following kind ("T" means "true", "F" "false". The rows of T's and F's under the row of the elementary propositions mean their truth-possibilities in an easily intelligible symbolism).

 p q r T T T F T T T F T T T F F F T F T F T F F F F F
 p q T T F T T F F F
 p T F

4.4 A proposition is the expression of agreement and disagreement with the truth-possibilities of the elementary propositions.

4.41 The truth-possibilities of the elementary propositions are the conditions of the truth and falsehood of the propositions.

.411 It seems probable even at first sight that the introduction of the elementary propositions is fundamental for the comprehension of the other kinds of propositions. Indeed the comprehension of the general propositions depends palpably on that of the elementary propositions.

4.42 With regard to the agreement and disagreement of a proposition with the truth-possibilities of n elementary propositions there are ${\displaystyle \sum _{K=0}^{K_{n}}{K_{n} \choose \kappa }=L_{n}}$ possibilities.

Agreement with the truth-possibilities can be
93