The order can change the scope of the asserted denial.
OrderLogical schema
kull + negationEvery x fails to satisfy P: ∀x ¬P(x)
negation + kullIt is false that all x satisfy P: ¬∀x P(x)
The symbols are a teaching aid, not a replacement for the Arabic. With just one individual the truth values might coincide; with a genuine plurality, the distinct distributions of negation become evident.
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Fronting, Kull and Negation: Denial of Universality versus Universal Denial
The order can change the scope of the asserted denial.
OrderLogical schema
kull + negationEvery x fails to satisfy P: ∀x ¬P(x)
negation + kullIt is false that all x satisfy P: ¬∀x P(x)
The symbols are a teaching aid, not a replacement for the Arabic. With just one individual the truth values might coincide; with a genuine plurality, the distinct distributions of negation become evident.