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  1. The Rule of Contradictory Pairs, Insolubles and Validity.Stephen Read - 2020 - Vivarium 58 (4):275-304.
    The Oxford Calculator Roger Swyneshed put forward three provocative claims in his treatise on insolubles, written in the early 1330s, of which the second states that there is a formally valid inference with true premises and false conclusion. His example deployed the Liar paradox as the conclusion of the inference: ‘The conclusion of this inference is false, so this conclusion is false’. His account of insolubles supported his claim that the conclusion is false, and so the premise, referring to the (...)
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  • Summulae de Locis Dialecticis by Johannes Buridanus.Catarina Dutilh Novaes - 2014 - Journal of the History of Philosophy 52 (3):609-610.
  • Hunting the Pseudo-Philosopher.Roderick T. Long - 2021 - Journal of Ayn Rand Studies 21 (2):247-288.
    In False Wisdom, Gary H. Merrill develops criteria for distinguishing genuine from pseudo-philosophy, and then applies his criteria to several case studies, including Ayn Rand, all of whom he finds to be pseudo-philosophers. While offering a mostly helpful overview of better and worse ways of doing philosophy, Merrill fails to motivate adequately his way of distinguishing pseudo-philosophy from mere philosophical vices, errors, or failings. He is inconsistent in his characterization of the criteria for pseudo-philosophy and his application of those criteria, (...)
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  • Jan Dullaert of Ghent on the Foundations of Propositional Logic.Miroslav Hanke - 2017 - Vivarium 55 (4):273-306.
    _ Source: _Volume 55, Issue 4, pp 273 - 306 Jan Dullaert was a direct student of John Mair and a teacher of Gaspar Lax, Juan de Celaya, and Juan Luis Vives. His commentary on Aristotle’s _Peri Hermeneias_ addresses the foundations of propositional logic, including a detailed analysis of conditionals and the semantics of logical connectives. Dullaert’s propositional logic is limited to the immediate implications of the semantics of these connectives, i.e., their introduction and elimination rules. In the same context, (...)
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  • The Roots of the Notion of Containment in Theories of Consequence.Bianca Bosman - 2018 - Vivarium 56 (3-4):222-240.
    _ Source: _Volume 56, Issue 3-4, pp 222 - 240 In medieval theories of consequence, we encounter several criteria of validity. One of these is known as the containment criterion: a consequence is valid when the consequent is contained or understood in the antecedent. The containment criterion was formulated most frequently in the thirteenth and fourteenth centuries, but it can be found in earlier writings as well. In _The Tradition of the Topics in the Middle Ages_, N.J. Green-Pedersen claimed that (...)
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  • William heytesbury.John Longeway - 2008 - Stanford Encyclopedia of Philosophy.