Tractatus Logico-Philosophicus · Chapter
5.551 explained
Wittgenstein asserts that any question decidable by logic can be decided immediately, without empirical investigation.
What happens
Wittgenstein asserts that any question decidable by logic can be decided immediately, without empirical investigation. Resorting to observation of the world to answer a logical problem indicates a fundamental error in approach.
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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
The principle that logical questions are decidable without reference to the world aligns with the tautological nature of logical propositions.
Characters to notice
- Mr. Wittgenstein
Author of the principle that logical questions are decidable offhand.
Key passages
“Our fundamental principle is that every question which can be decided at all by logic can be decided offhand.”
Any logical question that can be answered is answerable immediately, without further investigation.
Wittgenstein's foundational rule for logical decidability.
“if we get into a situation where we need to answer such a problem by looking at the world, this shows that we are on a fundamentally wrong track.”
If we must consult empirical facts to resolve a logical issue, our approach is mistaken.
Emphasizes the independence of logic from empirical observation.
