Tractatus Logico-Philosophicus · Chapter
3.032 explained
Wittgenstein argues that it is impossible to represent something that contradicts logic in language, just as it is impossible to represent a geometrically impossible figure or a non-existent point using coordinates.
What happens
Wittgenstein argues that it is impossible to represent something that contradicts logic in language, just as it is impossible to represent a geometrically impossible figure or a non-existent point using coordinates.
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
- Limits of Language and Thought
This proposition directly addresses the boundary of what can be meaningfully said, asserting that logical contradictions cannot be expressed in language.
- Logic and Tautology
The impossibility of expressing logical contradictions highlights the nature of logical truth as tautological and non-representational.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, drawing an analogy between logical impossibility and geometric impossibility.
Key passages
“To present in language anything which “contradicts logic” is as impossible as in geometry to present by its coordinates a figure which contradicts the laws of space; or to give the coordinates of a point which does not exist.”
You cannot say something that violates logic, just as you cannot draw a shape that breaks the rules of geometry or locate a point that isn't there.
Wittgenstein uses a geometric analogy to illustrate the inherent limits of language.
