Notre Dame Journal of Formal Logic

Numerical Term Logic

Wallace A. Murphree


This paper is an attempt to show that my work to establish numerically flexible quantifiers for the syllogism can be aptly combined with the term logic advanced by Sommers, Englebretsen, and others.

Article information

Notre Dame J. Formal Logic, Volume 39, Number 3 (1998), 346-362.

First available in Project Euclid: 6 December 2002

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03G30: Categorical logic, topoi [See also 18B25, 18C05, 18C10]


Murphree, Wallace A. Numerical Term Logic. Notre Dame J. Formal Logic 39 (1998), no. 3, 346--362. doi:10.1305/ndjfl/1039182251.

Export citation


  • Englebretsen, G., “Notes on the new syllogistic,” Logique et Analyse, vol. 85–86 (1979), pp. 111–20.
  • Englebretsen, G., “The myth of modern logic,” Cogito, Autumn (1990), pp. 150–58.
  • Englebretsen, G., Something to Reckon With: The Logic of Terms, University of Ottawa Press, Ottawa, 1996.
  • Kelley, D., The Art of Reasoning, expanded ed., W.W. Norton, New York, 1990.
  • Murphree, W., Numerically Exceptive Logic: A Reduction of the Classical Syllogism, Peter Lang, New York, 1991.
  • Murphree, W., “Expanding the traditional syllogism,” Logique et analyse, vol. 141–42 (1993), pp. 105–20. MR 97b:03015
  • Murphree, W., “The irrelevance of distribution for the syllogism,” Notre Dame Journal of Formal Logic, vol. 35 (1994), pp. 433–49. Zbl 0920.03008 MR 96e:03004
  • Murphree, W., “The numerical syllogism and existential presupposition,” Notre Dame Journal of Formal Logic, vol. 38 (1997), pp. 49–64. Zbl 0900.03018 MR 98m:03012
  • Sommers, F., “Distribution matters,” Mind, vol. 84 (1975), pp. 27–46.
  • Sommers, F., “Predication and term logic,” Notre Dame Journal of Formal Logic, vol. 31 (1990), pp. 106–26.
  • Sommers, F., “The world, the facts, and primary logic,” Notre Dame Journal of Formal Logic, vol. 34 (1993), pp. 169–82. Zbl 0789.03006 MR 94g:03015