«لا شيء»
No thing at all.
«ولا واحد»
Not even one member.
«ولا واحد من النار ببارد»
Not a single instance of fire is cold.
Here the predicate is denied not of a single selected individual but of the entire subject class. The proposition is a universal negative.
“No triangle has four sides” has the same logical form. Interpreting “none” as merely “some do not” would incorrectly change the proposition’s quantity.
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Categorical Propositions: Singular, Natural, Quantified and Indefinite Forms
«لا شيء»
No thing at all.
«ولا واحد»
Not even one member.
«ولا واحد من النار ببارد»
Not a single instance of fire is cold.
Here the predicate is denied not of a single selected individual but of the entire subject class. The proposition is a universal negative.
“No triangle has four sides” has the same logical form. Interpreting “none” as merely “some do not” would incorrectly change the proposition’s quantity.