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On the Syllogism, No. III. And on Logic in General

Augustus De Morgan

Printed by C.J. Clay at the University Press (1858)

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‘Everybody makes errors’: The intersection of De Morgan's Logic and Probability, 1837 – 1847.Adrian Rice - 2003 - History and Philosophy of Logic 24 (4):289-305.details For Ivor Grattan-Guinness on the occasion of his retirement. The work of Augustus De Morgan on symbolic logic in the mid-nineteenth century is familiar to historians of logic and mathematics alike. What is less well known is his work on probability and, more specifically, the use of probabilistic ideas and methods in his logic. The majority of De Morgan's work on probability was undertaken around 1837???1838, with his earliest publications on logic appearing from 1839, a period which culminated with the (...) Download Export citation Bookmark
Pragmaticism.Charles S. Peirce - 2024 - De Gruyter.details Download Export citation Bookmark
Relevance logic and the calculus of relations.Roger D. Maddux - 2010 - Review of Symbolic Logic 3 (1):41-70.details Sound and complete semantics for classical propositional logic can be obtained by interpreting sentences as sets. Replacing sets with commuting dense binary relations produces an interpretation that turns out to be sound but not complete for R. Adding transitivity yields sound and complete semantics for RM, because all normal Sugihara matrices are representable as algebras of binary relations. Download Export citation Bookmark 5 citations
Horrent with Mysterious Spiculæ’. Augustus De Morgan’s Logic Notation of 1850 as a ‘Calculus of Opposite Relations.Anna-Sophie Heinemann - 2018 - History and Philosophy of Logic 39 (1):29-52.details The present paper expounds the logic notation proposed by Augustus De Morgan in 1850 from within the original context of De Morgan’s account of syllogistic logic and his approach to quantification. The notational system of 1850 is shown to be a flexible tool to state inferences, to prove their validity and to derive formulæ of the respective system by ‘blind’ application of transformation rules. These pertain to the swapping of operator signs, which are of inverse ‘character’ in a two-fold sense: (...) Download Export citation Bookmark 1 citation
The Road to Modern Logic—An Interpretation.José Ferreirós - 2001 - Bulletin of Symbolic Logic 7 (4):441-484.details This paper aims to outline an analysis and interpretation of the process that led to First-Order Logic and its consolidation as a core system of modern logic. We begin with an historical overview of landmarks along the road to modern logic, and proceed to a philosophical discussion casting doubt on the possibility of a purely rational justification of the actual delimitation of First-Order-Logic. On this basis, we advance the thesis that a certain historical tradition was essential to the emergence of (...) Download Export citation Bookmark 20 citations

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