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Hugh MacColl and the algebra of strict implication

Stephen Read

Nordic Journal of Philosophical Logic 3:59-84 (1998)

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MacColl’s influences on Peirce and Schröder.Irving H. Anellis - 2011 - Philosophia Scientiae 15:97-128.details Les contributions à la logique de MacColl et Charles Sanders Peirce (1839-1914) ont été les deux plus profondes influences sur le travail de Ernst Schröder (1841-1902) en logique algébrique. Dans son Vorlesungen über dieAlgebra der Logik, Schröder a cité MacColl comme l’un de ses précurseurs les plus importants. Schröder a comparé les travaux de Peirce avec les premières parties de la série d’articles intitulés « The calculus of equivalent statements » que MacColl publie entre 1877 et 1880. Schröder a attribué (...) Download Export citation Bookmark 2 citations
Russell and MacColl: Reply to Grattan-guinness, wolen ski, and read.Modal Logic - 2001 - Nordic Journal of Philosophical Logic 6 (1):21-42.details Download Export citation Bookmark
Farewell to Suppression-Freedom.Tore Fjetland Øgaard - 2020 - Logica Universalis 14 (3):297-330.details Val Plumwood and Richard Sylvan argued from their joint paper The Semantics of First Degree Entailment and onward that the variable sharing property is but a mere consequence of a good entailment relation, indeed they viewed it as a mere negative test of adequacy of such a relation, the property itself being a rather philosophically barren concept. Such a relation is rather to be analyzed as a sufficiency relation free of any form of premise suppression. Suppression of premises, therefore, gained (...) Download Export citation Bookmark 2 citations
MacColl’s Modes of Modalities.Fabien Schang - 2011 - Philosophia Scientiae 15:149-188.details Hugh MacColl is commonly seen as a pioneer of modal and many-valued logic, given his introduction of modalities that go beyond plain truth and falsehood. But a closer examination shows that such a legacy is debatable and should take into account the way in which these modalities proceeded. We argue that, while MacColl devised a modal logic in the broad sense of the word, he did not give rise to a many-valued logic in the strict sense. Rather, his logic is (...) Download Export citation Bookmark
Non-Boolean classical relevant logics I.Tore Fjetland Øgaard - 2019 - Synthese (8):1-32.details Relevant logics have traditionally been viewed as paraconsistent. This paper shows that this view of relevant logics is wrong. It does so by showing forth a logic which extends classical logic, yet satisfies the Entailment Theorem as well as the variable sharing property. In addition it has the same S4-type modal feature as the original relevant logic E as well as the same enthymematical deduction theorem. The variable sharing property was only ever regarded as a necessary property for a logic (...) Download Export citation Bookmark 7 citations
Essay Review.[author unknown] - 2001 - History and Philosophy of Logic 22 (2):99-112.details Download Export citation Bookmark 1 citation

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