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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'.

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Wittgenstein discusses how operations can cancel out or vanish, using the example of double negation where '~~p' is equivalent to 'p'.

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  • Closing

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Themes in this chapter

  • Logic and Tautology

    The vanishing of operations like double negation illustrates logical equivalences that are tautological in nature.

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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.