Tractatus Logico-Philosophicus · Chapter
5.5541 explained
Wittgenstein questions whether it is possible to determine a priori if one might ever need to use a sign for a 27-termed relation, highlighting the limits of logical syntax and the contingency of symbolic needs.
What happens
Wittgenstein questions whether it is possible to determine a priori if one might ever need to use a sign for a 27-termed relation, highlighting the limits of logical syntax and the contingency of symbolic needs.
Themes in this chapter
Limits of Language and Thought
The question challenges whether logical form can be fully determined in advance, pointing to boundaries of what can be said a priori.
Characters to notice
- Mr. Wittgenstein
Poses a rhetorical question about the a priori necessity of complex relational signs.
Key passages
“How could we decide a priori whether, for example, I can get into a situation in which I need to symbolize with a sign of a 27-termed relation?”
How could we know in advance, without experience, that we might ever need a symbol for a relation involving 27 terms?
Wittgenstein questions the possibility of a priori knowledge about the complexity of logical notation.