Tractatus Logico-Philosophicus · Chapter
5.512 explained
Wittgenstein argues that the negation sign '~' does not itself perform the act of denial; rather, what denies is the common logical form shared by all expressions that negate a proposition.
What happens
Wittgenstein argues that the negation sign '~' does not itself perform the act of denial; rather, what denies is the common logical form shared by all expressions that negate a proposition. This common pattern mirrors denial.
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…
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Follow the arc while readingThemes in this chapter
- Logical Atomism
Negation is analyzed in terms of the common logical form shared by all denying propositions.
- Nonsense and Meaning
The sign '~' does not directly connect to reality; meaning arises from the shared logical pattern.
Characters to notice
- Mr. Wittgenstein
Author of the Tractatus, presenting the logical analysis of negation.
Key passages
““ ~ p ” is true if “ p ” is false. Therefore in the true proposition “ ~ p ” “ p ” is a false proposition.”
The negation of a proposition is true exactly when the original proposition is false, so within a true negation the negated proposition is false.
Clarifies the truth-functional definition of negation.
“That which denies in “ ~ p ” is however not “ ~ ”, but that which all signs of this notation, which deny p , have in common.”
The act of denial is not performed by the specific symbol '~' but by the shared logical structure of all expressions that negate p.
Highlights that negation is a pattern, not a simple sign.
