Epistemic Logic in the Later Middle Ages by Boh Ivan;

Author:Boh, Ivan;
Language: eng
Format: epub
Publisher: Taylor & Francis Group

Reflecting on Peter’s definition of sound consequence we may come to believe that his understanding of consequence is ‘alethic’. His rejection of a rule similar to Strode’s R23 may also suggest a certain rejection of ‘understanding’ (intellectio) as a defining property of consequential relation. However, it is possible that Peter rejected understanding not so much as a factor in defining consequence (or sound consequence, or sound formal consequence), but rather as a criterion or test for soundness of particular consequence-claims. Thus, stating first a definition of sound consequence ‘p; therefore q’ in terms of impossibility of the conjunction p & ~ q, Peter goes on to claim that,

from this definition it follows that this consequence is not valid: ‘This consequence is sound and formal, therefore, if it is understood to be so as is signified by the antecedent, it is understood to be so as is signified by the consequent’. For this consequence is sound and formal: ‘A man is running, therefore something capable of laughing is running’; but it is not the case that if you understand that a man is running, you understand that something capable of laughing is running, therefore, etc.9

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