Abstract
Late antiquity learned two logics: categorical syllogistic and hypothetical syllogistic. Categorical syllogistic studies categorical arguments. An argument is categorical if all its components (its premisses and its conclusion) are categorical propositions. A proposition is categorical if it ‘says one thing of one thing’ – or better, if it is simple in the sense of not containing two or more propositions as components. Hypothetical syllogistic studies hypothetical arguments. An argument is hypothetical if at least one of its components is a hypothetical proposition. A proposition is hypothetical if it contains at least two propositions as components.
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