Tractatus Logico-Philosophicus · Chapter
5.12 explained
Wittgenstein defines the logical relation of following (consequence) between propositions: the truth of p follows from the truth of q if every truth-ground of q is also a truth-ground of p.
What happens
Wittgenstein defines the logical relation of following (consequence) between propositions: the truth of p follows from the truth of q if every truth-ground of q is also a truth-ground of p.
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…
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Follow the arc while readingThemes in this chapter
- Logic and Tautology
This proposition directly addresses the logical relation of consequence, a core topic in Wittgenstein's treatment of logic.
Characters to notice
- Mr. Wittgenstein
Author of the proposition; presents the logical condition for one proposition following from another.
Key passages
“In particular the truth of a proposition p follows from that of a proposition q , if all the truth-grounds of the second are truth-grounds of the first.”
Specifically, p is a logical consequence of q if every situation that makes q true also makes p true.
Clarifies the truth-conditional definition of logical consequence.
