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Tractatus Logico-Philosophicus · Chapter
5.254 explained
Wittgenstein discusses how operations can cancel out or vanish, using the example of double negation where '~~p' is equivalent to 'p'.
What happens
Wittgenstein discusses how operations can cancel out or vanish, using the example of double negation where '~~p' is equivalent to 'p'.
Themes in this chapter
Logic and Tautology
The vanishing of operations like double negation illustrates logical equivalences that are tautological in nature.
Characters to notice
- Mr. Wittgenstein
Author of the proposition
Key passages
“Operations can vanish ( e.g. denial in “ ~ ~ p ”. ~ ~ p = p ).”
Some operations cancel each other out, such as double negation, where 'not not p' is the same as 'p'.
Illustrates the concept of operation cancellation in logical systems.