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Tractatus Logico-Philosophicus · Chapter
5.121 explained
This proposition states that if the truth-grounds of q are contained within those of p, then p follows from q, establishing a fundamental relationship of logical consequence.
What happens
This proposition states that if the truth-grounds of q are contained within those of p, then p follows from q, establishing a fundamental relationship of logical consequence.
Themes in this chapter
Logic and Tautology
The containment of truth-grounds directly relates to the logical structure of propositions and the nature of logical consequence.
Key passages
“The truth-grounds of q are contained in those of p ; p follows from q .”
If every situation that makes q true also makes p true, then p is a logical consequence of q.
This defines logical consequence in terms of truth-ground containment.