Tractatus Logico-Philosophicus · Chapter
5.2521 explained
Wittgenstein defines the successive application of an operation as its repeated application to its own result, illustrating with the example of applying 'O'ξ' three times to 'a' to yield 'O'O'O'a'.
What happens
Wittgenstein defines the successive application of an operation as its repeated application to its own result, illustrating with the example of applying 'O'ξ' three times to 'a' to yield 'O'O'O'a'. He extends this notion to the successive application of several operations to multiple propositions.
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Narrative arc
Story tension across the book — this chapter sits in Falling action.
- Setup
- Escalation
- Breaking point
- Aftermath
- Closing
This passage marks the story’s dramatic climax because it presents the moment when the protagonist’s obsessive…
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Follow the arc while readingThemes in this chapter
- Logical Atomism
The discussion of operations and their successive application relates to the construction of complex propositions from elementary ones.
Characters to notice
- Mr. Wittgenstein
Author of the Tractatus, defining the concept of successive application of operations.
Key passages
“The repeated application of an operation to its own result I call its successive application”
Applying an operation over and over to what it produces is what I mean by successive application.
Clarifies the iterative nature of operations in logical syntax.
