Tractatus Logico-Philosophicus · Chapter
5.557 explained
Wittgenstein argues that the application of logic determines what elementary propositions exist, and that logic cannot anticipate what lies in its application.
What happens
Wittgenstein argues that the application of logic determines what elementary propositions exist, and that logic cannot anticipate what lies in its application. Logic must not conflict with its application but must have contact with it, yet they may not overlap.
Free preview opens on this chapter — companions, themes, and character notes appear beside the text.
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…
Full beat labels and climax notes unlock in the reader.
Follow the arc while readingThemes in this chapter
- Logical Atomism
The passage discusses elementary propositions, which are the basic units in logical atomism, and how their existence is determined by the application of logic.
- Limits of Language and Thought
Logic cannot anticipate its application, highlighting the limits of what can be said or thought about the structure of language.
Characters to notice
- Mr. Wittgenstein
Author of the Tractatus, presenting the relationship between logic and its application.
Key passages
“The application of logic decides what elementary propositions there are.”
What counts as an elementary proposition is determined by how logic is actually used.
Wittgenstein emphasizes that the content of elementary propositions is not fixed a priori but depends on practical application.
“What lies in its application logic cannot anticipate.”
Logic cannot foresee or predefine the specific details that arise when it is applied.
This underscores the separation between the formal structure of logic and its empirical use.
“It is clear that logic may not conflict with its application. But logic must have contact with its application. Therefore logic and its application may not overlap one another.”
Logic must be consistent with its use and must relate to it, yet they remain distinct domains without overlapping.
Wittgenstein draws a boundary: logic and its application are connected but not identical.
