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Tractatus Logico-Philosophicus · Chapter

3.3441 explained

Wittgenstein discusses the commonality among all notations for truth-functions, noting that they can all be replaced by the notations for negation and disjunction, thereby showing how a specific notation can yield general insights.

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Wittgenstein discusses the commonality among all notations for truth-functions, noting that they can all be replaced by the notations for negation and disjunction, thereby showing how a specific notation can yield general insights.

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  • Setup
  • Escalation
  • Breaking point
  • Aftermath
  • Closing

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Themes in this chapter

  • Logic and Tautology

    The passage illustrates how truth-functional notations share a common logical form, reducible to negation and disjunction.

Characters to notice

  • Mr. Wittgenstein

    Author of the Tractatus, presenting the logical structure of truth-functional notation.

Key passages

  • “We can, for example, express what is common to all notations for the truth-functions as follows: It is common to them that they all, for example, can be replaced by the notations of “ ~ p ” (“not p ”) and “ p ∨ q ” (“ p or q ”).”

    All truth-functional notations share the property that they can be expressed using only negation and disjunction.

    This highlights the underlying unity of logical notation.