Titlebook: Ancient Logic and Its Modern Interpretations; Proceedings of the B John Corcoran Conference proceedings 1974 D. Reidel Publishing Company,

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Greek Mathematics and Greek Logicped in the first twenty-two chapters of the . and Stoic propositional logic as reconstructed in the twentieth century. The topic I shall consider in this paper is the relation between Greek logic in this sense and Greek mathematics. I have resolved the topic into two questions: (1) To what extent do

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Aristotle’s Natural Deduction Systemic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle’s logic and we examine both the mathematical properties of the model and the relation of the model to the system of logic envisaged in certain scattered parts of . and .

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Remarks on Stoic Deductionevant texts is limited, it may nevertheless be possible to answer some of these questions with a considerable degree of certainty. Moreover, with the answers obtained one might be able to narrow the range of possible solutions to other problems concerning Stoic theories of meaning and inference.

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Future Research on Ancient Theories of Communication and Reasoningwhat doth not with your rules agree, forgetting all your learning, seek ye first what . rules may be”. It is interesting to reflect on some possible explanations of why it is now possible for us to ‘forget all our learning’ and seek ‘the rules that the ancients had purposed’. Perhaps the most releva

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A Panel Discussion on the Future Research in Ancient Logical Theoryhe reader will notice a certain spontaneity and liveliness not usually found in scholarly writings. Some of the speakers would want to revise their remarks were they to be published as scholarly .. Therefore, the reader should take this as a record of free conversation and not as part of the researc

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