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Tractatus Logico-Philosophicus · Chapter

5.251 explained

Wittgenstein distinguishes between functions and operations, noting that while a function cannot take itself as an argument, the result of an operation can serve as its own basis, highlighting a key difference in logical form.

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Wittgenstein distinguishes between functions and operations, noting that while a function cannot take itself as an argument, the result of an operation can serve as its own basis, highlighting a key difference in logical form.

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

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Themes in this chapter

  • Logical Atomism

    The distinction between functions and operations reflects the logical atomist view of the structure of propositions.

Characters to notice

  • Mr. Wittgenstein

    Author of the proposition distinguishing functions from operations.

Key passages

  • “A function cannot be its own argument, but the result of an operation can be its own basis.”

    A function cannot take itself as input, but the output of an operation can be used as input for the same operation again.

    Clarifies the difference in self-application between functions and operations.