Tractatus Logico-Philosophicus · Chapter
4.41 explained
This proposition establishes that the truth-possibilities of elementary propositions serve as the conditions for the truth or falsehood of all propositions, grounding logical analysis in atomic facts.
What happens
This proposition establishes that the truth-possibilities of elementary propositions serve as the conditions for the truth or falsehood of all propositions, grounding logical analysis in atomic facts.
Themes in this chapter
Logical Atomism
The proposition exemplifies logical atomism by asserting that the truth of complex propositions depends on the truth-possibilities of elementary (atomic) propositions.
Logic and Tautology
This statement underlies the logical structure where truth-conditions determine whether a proposition is tautological, contradictory, or contingent.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, presenting the foundational link between elementary propositions and truth-conditions.
Key passages
“The truth-possibilities of the elementary propositions are the conditions of the truth and falsehood of the propositions.”
Whether any proposition is true or false depends entirely on which combinations of basic atomic propositions are true or false.
Clarifies the dependency of all propositional truth on elementary truth-possibilities.