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Tractatus Logico-Philosophicus · Chapter

Truth-Operations on Elementary Propositions explained

Wittgenstein defines truth-functions of elementary propositions as the results of operations, which he calls truth-operations, that take elementary propositions as their bases.

What happens

Wittgenstein defines truth-functions of elementary propositions as the results of operations, which he calls truth-operations, that take elementary propositions as their bases.

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  • Escalation
  • Breaking point
  • Aftermath
  • Closing

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Themes in this chapter

  • Logical Atomism

    The discussion of elementary propositions as bases for truth-operations reflects the logical atomist view that complex propositions are built from simple, atomic elements.

  • Logic and Tautology

    Truth-operations on elementary propositions are central to understanding how logical truths and tautologies are generated.

Characters to notice

  • Mr. Wittgenstein

    Introduces the concept of truth-operations as the operations that yield truth-functions from elementary propositions.

Key passages

  • “The truth-functions of elementary proposition, are results of operations which have the elementary propositions as bases. (I call these operations, truth-operations.)”

    Truth-functions of elementary propositions are produced by applying operations—which I call truth-operations—to those elementary propositions.

    Clarifies that truth-functions are not primitive but derived via specific operations on elementary propositions.