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Tractatus Logico-Philosophicus · Chapter

5.4731 explained

Wittgenstein argues that self-evidence, as emphasized by Russell, is unnecessary in logic because language itself prevents logical mistakes.

What happens

Wittgenstein argues that self-evidence, as emphasized by Russell, is unnecessary in logic because language itself prevents logical mistakes. The a priori nature of logic is grounded in the impossibility of thinking illogically.

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  • Setup
  • Escalation
  • Breaking point
  • Aftermath
  • Closing

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Themes in this chapter

  • Limits of Language and Thought

    The impossibility of thinking illogically demonstrates the inherent limits of thought imposed by language.

  • Logic and Tautology

    Logic's a priori nature is tied to the tautological structure that prevents logical error.

Characters to notice

  • Mr. Wittgenstein

    Author of the Tractatus, presenting his critique of Russell's notion of self-evidence.

  • Bertrand Russell

    Referenced for his extensive discussion of self-evidence in logic.

Key passages

  • “Self-evidence, of which Russell has said so much, can only be discard in logic by language itself preventing every logical mistake.”

    The concept of self-evidence that Russell emphasizes is unnecessary because language inherently prevents logical errors.

    Wittgenstein dismisses self-evidence as a redundant notion in logic.

  • “That logic is a priori consists in the fact that we cannot think illogically.”

    The a priori nature of logic is simply that illogical thinking is impossible.

    Wittgenstein grounds the a priori status of logic in the impossibility of illogical thought.