Tractatus Logico-Philosophicus · Chapter
5.5521 explained
This aphorism questions the applicability of logic to the world, suggesting that logic's existence is contingent upon the world's existence; without a world, logic would have no application.
What happens
This aphorism questions the applicability of logic to the world, suggesting that logic's existence is contingent upon the world's existence; without a world, logic would have no application.
Themes in this chapter
Logic and Tautology
Explores the necessary connection between logic and the existence of the world, questioning whether logic would be possible without a world.
Characters to notice
- Mr. Wittgenstein
Author of the aphorism, posing a rhetorical question about the relationship between logic and the world.
Key passages
“And if this were not the case, how could we apply logic? We could say: if there were a logic, even if there were no world, how then could there be a logic, since there is a world?”
If logic were not inherently tied to the world, it would be impossible to apply it. One might argue that logic could exist without a world, but then how could it exist given that the world does exist?
Highlights the paradox of logic's dependence on the world for its applicability.