Tractatus Logico-Philosophicus · Chapter
4.52 explained
Wittgenstein states that propositions are everything that follows from the totality of all elementary propositions, including the fact that it is the totality.
What happens
Wittgenstein states that propositions are everything that follows from the totality of all elementary propositions, including the fact that it is the totality. He suggests that all propositions can be seen as generalizations of elementary propositions.
Themes in this chapter
Logical Atomism
The notion that all propositions derive from elementary propositions reflects the logical atomist view of language.
Logic and Tautology
The idea of propositions following from the totality of elementary propositions touches on logical consequence and tautology.
Characters to notice
- Mr. Wittgenstein
Author of the proposition
Key passages
“The propositions are everything which follows from the totality of all elementary propositions (of course also from the fact that it is the totality of them all ).”
All propositions are logical consequences of the complete set of elementary propositions, including the fact that this set is complete.
Clarifies the relationship between propositions and elementary propositions.
“(So, in some sense, one could say, that all propositions are generalizations of the elementary propositions.)”
Thus, in a way, every proposition can be seen as a generalization of the elementary propositions.
Summarizes the reduction of all propositions to elementary ones.