History and Philosophy of Logic 17 (1-2):141-154 (1996)
There have been and continue to be disagreements about how to consider the traditional square of opposition and the traditional inferences of obversion, conversion, contraposition and inversion from the perspective of contemporary quantificational logic. Philosophers have made many different attempts to save traditional inferences that are invalid when they involve empty classes. I survey some of these attempts and argue that the only satisfactory way of saving all the traditional inferences is to make the existential assumption that both the subject and predicate classes and their complement classes are non-empty for all the propositions we admit. I briefly indicate the room for continued controversy over how properly to interpret Aristotle?s statements regarding these inferences, but find some plausibility in the views of Manley Thompson and A.N.Prior that Aristotle had in mind a particular arrangement of existential import unfamiliar to most contemporary logicians
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
The Complete Works of Aristotle: The Revised Oxford Translation. Aristotle - 1984 - Princeton University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Syllogistic: Old Wine in New Bottles.George Englebretsen - 2002 - History and Philosophy of Logic 23 (1):31-35.
Review: Martin, Wayne, Theories of Judgment. [REVIEW]R. Lanier Anderson - 2008 - Philosophical Studies 137 (1):91-108.
Ploucquet's “Refutation” of the Traditional Square of Opposition.Wolfgang Lenzen - 2008 - Logica Universalis 2 (1):43-58.
No Problem for Aristotle's Subject and Predicate.Guy Politzer - 2003 - Behavioral and Brain Sciences 26 (3):298-299.
Head or Tail? De Morgan on the Bounds of Traditional Logic.Víctor Sánchez Valencia - 1997 - History and Philosophy of Logic 18 (3):123-138.
Things That Are Right with the Traditional Square of Opposition.Terence Parsons - 2008 - Logica Universalis 2 (1):3-11.
Hamilton's Quantification of the Predicate.W. Bednarowski - 1955 - Proceedings of the Aristotelian Society 56:217 - 240.
Negation and Quantification in Aristotle.Michael V. Wedin - 1990 - History and Philosophy of Logic 11 (2):131-150.
Added to index2010-08-10
Total downloads30 ( #169,186 of 2,158,673 )
Recent downloads (6 months)1 ( #354,589 of 2,158,673 )
How can I increase my downloads?