Chapter

Singular and Existential Propositions

A. N. Prior

in Formal Logic

Published in print March 1963 | ISBN: 9780198241560
Published online October 2011 | e-ISBN: 9780191680373 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198241560.003.0007
Singular and Existential Propositions

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In the last chapter of the Prior Analytics, Aristotle gave examples of inferences, including a syllogism, using singular propositions. However, the Schoolmen were much more at home with them and used singular propositions in the most characteristic forms of syllogism. The first section of this chapter describes singulars and generals in traditional and modern logic. The second section considers existential propositions and the existential import of general categoricals. The third section considers Venn's diagrams and the quantified logic of properties. The last section explores connotative singular terms and the theory of descriptions.

Keywords: modern logic; existential propositions; Venn diagrams; quantified logic; syllogism; Aristotle; Schoolmen

Chapter.  10355 words.  Illustrated.

Subjects: Philosophy of Mathematics and Logic

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