Tractatus Logico-Philosophicus · Chapter
4.463 explained
Wittgenstein explains that truth-conditions define the range of possibilities a proposition leaves to reality.
What happens
Wittgenstein explains that truth-conditions define the range of possibilities a proposition leaves to reality. He uses an analogy of a solid body restricting movement to illustrate how propositions limit logical space. Tautologies leave all logical space open, while contradictions fill it entirely, leaving no room for reality; thus neither can determine reality.
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 Exposition.
- 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
- Logic and Tautology
The passage contrasts tautologies and contradictions, showing they are limiting cases that do not determine reality.
- Limits of Language and Thought
The discussion of truth-conditions and logical space illustrates the boundaries of what propositions can express about reality.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, presenting the analogy of truth-conditions as a solid body restricting logical space.
Key passages
“The truth-conditions determine the range, which is left to the facts by the proposition.”
The conditions under which a proposition is true define the set of possible situations that the proposition allows to be actual.
Clarifies the role of truth-conditions in delimiting logical space.
“Tautology leaves to reality the whole infinite logical space; contradiction fills the whole logical space and leaves no point to reality.”
A tautology imposes no restrictions on reality, while a contradiction excludes all possibilities, so neither can describe how things actually are.
Highlights the special status of tautologies and contradictions as degenerate propositions.
