Tractatus Logico-Philosophicus · Chapter
5.1241 explained
Wittgenstein discusses the logical relationship between propositions, explaining that a conjunction like 'p .
What happens
Wittgenstein discusses the logical relationship between propositions, explaining that a conjunction like 'p . q' asserts both p and q individually, and that two propositions are opposed if no significant proposition asserts both, meaning one contradicts and thereby denies the other.
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Story tension across the book.
- Setup
- Escalation
- Breaking point
- Aftermath
- Closing
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Follow the arc while readingThemes in this chapter
- Logical Atomism
The analysis of propositions into elementary components and their logical relations.
- Logic and Tautology
Examination of logical relations such as conjunction and contradiction.
Characters to notice
- Mr. Wittgenstein
Author of the Tractatus, presenting logical relations between propositions.
Key passages
“p . q is one of the propositions which assert p and at the same time one of the propositions which assert q.”
The conjunction 'p and q' asserts both p and q individually.
Clarifies the logical import of conjunction.
“Two propositions are opposed to one another if there is no significant proposition which asserts them both.”
Two propositions are contradictory if no meaningful proposition can affirm both.
Defines logical opposition.
“Every proposition which contradicts another, denies it.”
Any proposition that contradicts another proposition effectively negates it.
Explains the relationship between contradiction and denial.
