Tractatus Logico-Philosophicus · Chapter
5.41 explained
This proposition states that the results of truth-operations on truth-functions are identical when they correspond to the same truth-function of elementary propositions, emphasizing the determinacy of logical form.
What happens
This proposition states that the results of truth-operations on truth-functions are identical when they correspond to the same truth-function of elementary propositions, emphasizing the determinacy of logical form.
Themes in this chapter
Logic and Tautology
The identity of truth-operations on truth-functions underlies the tautological nature of logical propositions.
Key passages
“For all those results of truth-operations on truth-functions are identical, which are one and the same truth-function of elementary propositions.”
Whenever two sets of truth-operations applied to truth-functions yield the same truth-function of elementary propositions, their results are identical.
Clarifies the uniqueness of logical outcomes based on underlying truth-functions.