All chapters

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.

What happens

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.

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.