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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.

Free preview opens on this chapter — companions, themes, and character notes appear beside the text.

Narrative arc

Story tension across the book.

SetupAftermathClimax
  • Setup
  • Escalation
  • Breaking point
  • Aftermath
  • Closing

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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.