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Tractatus Logico-Philosophicus · Chapter

5.5521 explained

This aphorism questions the applicability of logic to the world, suggesting that logic's existence is contingent upon the world's existence; without a world, logic would have no application.

What happens

This aphorism questions the applicability of logic to the world, suggesting that logic's existence is contingent upon the world's existence; without a world, logic would have no application.

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

This passage marks the story’s dramatic climax because it presents the moment when the protagonist’s obsessive…

Full beat labels and climax notes unlock in the reader.

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Themes in this chapter

  • Logic and Tautology

    Explores the necessary connection between logic and the existence of the world, questioning whether logic would be possible without a world.

Characters to notice

  • Mr. Wittgenstein

    Author of the aphorism, posing a rhetorical question about the relationship between logic and the world.

Key passages

  • “And if this were not the case, how could we apply logic? We could say: if there were a logic, even if there were no world, how then could there be a logic, since there is a world?”

    If logic were not inherently tied to the world, it would be impossible to apply it. One might argue that logic could exist without a world, but then how could it exist given that the world does exist?

    Highlights the paradox of logic's dependence on the world for its applicability.