Tractatus Logico-Philosophicus · Chapter
5.5352 explained
Wittgenstein critiques the attempt to express 'There are no things' using the formula '~(∃x).x=x', arguing that even if it were a proposition, it would fail to capture the intended meaning because it could be true even if things existed but
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Wittgenstein critiques the attempt to express 'There are no things' using the formula '~(∃x).x=x', arguing that even if it were a proposition, it would fail to capture the intended meaning because it could be true even if things existed but were not identical with themselves.
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Narrative arc
Story tension across the book.
- Setup
- Escalation
- Breaking point
- Aftermath
- Closing
This passage marks the story’s dramatic climax because it presents the moment when the protagonist’s obsessive…
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Follow the arc while readingThemes in this chapter
- Nonsense and Meaning
The proposed formula is questioned as to whether it even constitutes a meaningful proposition
- Limits of Language and Thought
Highlights the difficulty of expressing non-existence within logical notation
Characters to notice
- Mr. Wittgenstein
Author of the critique
Key passages
“Similarly it was proposed to express “There are no things” by “ ~ ( ∃ x ) . x = x ”. But even if this were a proposition—would it not be true if indeed “There were things,” but these were not identical with themselves?”
Someone suggested using the formula '~(∃x).x=x' to say 'There are no things.' But even if we treat that formula as a genuine proposition, wouldn't it be true in a scenario where things exist but none of them are identical to themselves?
Wittgenstein exposes a flaw in a proposed logical translation of non-existence