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  1. Head or tail? de morgan on the bounds of traditional logic.Víctor Sánchez Valencia - 1997 - History and Philosophy of Logic 18 (3):123-138.
    This paper is concerned with De Morgan’s explanation of the validity of arguments that involve relational notions. It discusses De Morgan’s expansion of traditional logic aimed at accommodating those inferences, and makes the point that his endeavour is not successful in that the rules that made up his new logic are not sound. Nevertheless, the most important scholarly work on De Morgan’s logic, and contrary to that De Morgan’s mistake is not beyond repair. The rules that determine his new logic (...)
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  • Head or tail? de morgan on the bounds of traditional logic.Víctor Sánchez Valencia - 1997 - History and Philosophy of Logic 18 (3):123-138.
    This paper is concerned with De Morgan’s explanation of the validity of arguments that involve relational notions. It discusses De Morgan’s expansion of traditional logic aimed at accommodating those inferences, and makes the point that his endeavour is not successful in that the rules that made up his new logic are not sound. Nevertheless, the most important scholarly work on De Morgan’s logic, and contrary to that De Morgan’s mistake is not beyond repair. The rules that determine his new logic (...)
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  • Peirce, frege, the logic of relations, and church's theorem.Randall R. Dipert - 1984 - History and Philosophy of Logic 5 (1):49-66.
    In this essay, I discuss some observations by Peirce which suggest he had some idea of the substantive metalogical differences between logics which permit both quantifiers and relations, and those which do not. Peirce thus seems to have had arguments?which even De Morgan and Frege lacked?that show the superior expressiveness of relational logics.
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