Tractatus Logico-Philosophicus · Chapter
5.442 explained
This proposition asserts that once a proposition is given, all possible truth-operations that can be performed on it are implicitly given as well, emphasizing the inherent logical structure and completeness of propositions.
What happens
This proposition asserts that once a proposition is given, all possible truth-operations that can be performed on it are implicitly given as well, emphasizing the inherent logical structure and completeness of propositions.
Free preview opens on this chapter — companions, themes, and character notes appear beside the text.
Narrative arc
Story tension across the book.
- Setup
- Escalation
- Breaking point
- Aftermath
- Closing
This passage marks the story’s dramatic climax because it presents the moment when the protagonist’s obsessive…
Full beat labels and climax notes unlock in the reader.
Follow the arc while readingThemes in this chapter
- Logical Atomism
The proposition illustrates how truth-operations are inherent in the logical structure of propositions.
- Logic and Tautology
Truth-operations are part of the logical scaffolding that determines the truth-conditions of propositions.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, presenting a key idea in logical atomism.
Key passages
“If a proposition is given to us then the results of all truth-operations which have it as their basis are given with it.”
Given any proposition, all possible logical transformations based on it are already determined.
Highlights the completeness of logical structure in propositions.
