Tractatus Logico-Philosophicus · Chapter
5.5261 explained
Wittgenstein argues that a completely generalized proposition is composite, just like any other proposition, because its constituent symbols (e.g., 'φ' and 'x') stand independently in signifying relations to the world.
What happens
Wittgenstein argues that a completely generalized proposition is composite, just like any other proposition, because its constituent symbols (e.g., 'φ' and 'x') stand independently in signifying relations to the world. This compositeness is a characteristic it shares with other symbols.
Themes in this chapter
Logical Atomism
The discussion of composite symbols and their independent signifying relations reflects the atomistic decomposition of propositions into their basic elements.
Picture Theory of Language
The idea that symbols in a proposition stand in signifying relations to the world aligns with the picture theory, where propositions picture states of affairs.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, presenting the argument about generalized propositions.
Key passages
“A completely generalized proposition is like every other proposition composite.”
Even a fully generalized proposition is made up of parts, just like any other proposition.
Wittgenstein emphasizes that generality does not eliminate composition.
“Both stand independently in signifying relations to the world as in the ungeneralized proposition.”
The symbols 'φ' and 'x' each have their own independent connections to reality, just as they do in a non-generalized proposition.
This underscores the independence of symbolic elements in all propositions.