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On Formalizing The Logics Of The Past

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Chapter Summary

Aristotle's project in de Interpretatione is to establish the character of one of the two relationships upon which his account of valid inference will be based. The relationship, that is, that holds between propositions which are such that it is not possible for them to be true together.De Interpretatione, then, is concerned to locate pairs of propositions which are opposed in that they cannot be true together. This chapter reviews the important points made about propositional relations in De Interpretatione 5–8. It says something about what is required for an account of propositional relations to be a propositional logic and Boethius' failure to provide this in his commentaries. The chapter concludes by looking at Peter Abaelard's reconstruction of the theory of propositional relations presented there as part of a genuinely propositional logic.

Keywords:Aristotle; Boethius; de Interpretatione; Peter Abaelard



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