Tractatus Logico-Philosophicus · Chapter
5.123 explained
Wittgenstein discusses the logical consequences of a god creating a world with certain true propositions, implying that all consequent propositions must also be true, and that creating a true proposition requires creating all its constituen
What happens
Wittgenstein discusses the logical consequences of a god creating a world with certain true propositions, implying that all consequent propositions must also be true, and that creating a true proposition requires creating all its constituent objects.
Themes in this chapter
Logical Atomism
The proposition illustrates the dependence of truth on the existence of objects and the logical structure of the world.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, exploring logical necessity and creation.
Key passages
“If a god creates a world in which certain propositions are true, he creates thereby also a world in which all propositions consequent on them are true.”
If a deity makes a world where some statements hold, then that world automatically includes all statements that logically follow from them.
Highlights the logical entailment between propositions in a created world.
“And similarly he could not create a world in which the proposition “ p ” is true without creating all its objects.”
Likewise, a god cannot make a world where a specific proposition is true unless all the objects that proposition refers to are also created.
Emphasizes the dependence of propositional truth on the existence of its constituent objects.