Tractatus Logico-Philosophicus · Chapter
5.526 explained
Wittgenstein argues that the world can be completely described using fully generalized propositions, without initially assigning any name to a specific object.
What happens
Wittgenstein argues that the world can be completely described using fully generalized propositions, without initially assigning any name to a specific object. To convert such a description into ordinary language, one simply adds that there is exactly one x satisfying the description, and that x is a.
Themes in this chapter
Logical Atomism
The discussion of completely generalized propositions and the coordination of names with objects relates to the atomistic view that the world consists of simple objects and facts.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, presenting the idea that fully generalized propositions suffice for a complete description of the world.
Key passages
“One can describe the world completely by completely generalized propositions, i.e. without from the outset coordinating any name with a definite object.”
A full description of the world is possible using only generalized statements, without initially linking any name to a specific thing.
Wittgenstein emphasizes that names are not necessary for a complete description; they can be introduced later.
“In order then to arrive at the customary way of expression we need simply say after an expression “there is one and only one x , which …”: and this x is a .”
To translate such a generalized description into ordinary language, we just add that there exists exactly one x satisfying the description, and that x is called a.
This shows how to convert a purely logical description into one that uses names, bridging the gap between formal and everyday language.