Titlebook: Augustus De Morgan and the Logic of Relations; Daniel D. Merrill Book 1990 Kluwer Academic Publishers 1990 Euclid.formal logic.history of

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The Logic of Relations and the Theory of the Syllogism,Writers on De Morgan have often distinguished between the two most important facets of his work: his theory of the syllogism and his logic of relations. The former looks to the past; the latter, to the future.

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A Rigorous Formulation,In the fifth chapter, we examined the logic of relations which De Morgan published in 1860. This extremely important and suggestive work opened the door to the fully developed logic of relations. Nevertheless, it was untidy and incomplete. Its reader must wonder just what principles are being assumed and how strong the resulting system is.

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Psyma ,: Nitrogen Fixation and More,c is very novel, if not idiosyncratic, and this novelty provides the conceptual underpinning for his logic of relations. In his view, the logic of relations provides the structure for even the inferences of traditional logic.

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The Logic of Relations,and the bicopular syllogism to something that may justifiably be called a . of relations: that is, the specification and systematization of previously unrecognized valid forms of relational inference.