Daniel Schulthess
Université de Neuchâtel
The article confronts one of the ἄποpοι λόγοι discussed in ancient Eristic-Stoic logic: the famous “cuckold” (κερατίνης), where an interrogator has his respondent to admit to have been or still be cuckolded. The source of the problem is a principle of dialectics related to the principle of the excluded-middle according to which a question admits only a positive or a negative answer. To the question “Have you ceased to be cuckolded?” both answers seem to presuppose that the respondent has been cuckolded. To solve the problem one can either deny the dialectical principle of the excluded-middle or (as Stoic logic does) introduce the idea that negation refers not simply to the predicate (as in Aristotelian logic) but to the entire proposition (by denying the existence of the subject, for example).
Keywords Logic  Dialectic  Eristic  Principle of the Excluded-Middle  Stoic Logic  Aristotelian Logic  Diogenes Laertius  Menedemus  Alexinos
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