Notre Dame Journal of Formal Logic

The Irrelevance of Distribution for the Syllogism

Wallace A. Murphree

Abstract

While accepting that distribution is a coherent notion, I argue that it is nevertheless irrelevant to the working of the syllogism. Instead, I propose: (i) that a term's being distributed or undistributed in a proposition is its capacity to be replaced in a truth-preserving substitution with a narrower or a wider term; (ii) that which capacity the term has is determined by whether it occurs as the predicate of a negative or of an affirmative statement of the proposition; and (iii) that it is only the term's occurrence as the predicate of a negative or an affirmative statement–rather than its distribution value–that is relevant to syllogistic entailment.

Article information

Source
Notre Dame J. Formal Logic Volume 35, Number 3 (1994), 433-449.

Dates
First available: 21 December 2002

Permanent link to this document
http://projecteuclid.org/euclid.ndjfl/1040511349

Mathematical Reviews number (MathSciNet)
MR1326125

Digital Object Identifier
doi:10.1305/ndjfl/1040511349

Zentralblatt MATH identifier
0920.03008

Subjects
Primary: 03A05: Philosophical and critical {For philosophy of mathematics, see also 00A30}

Citation

Murphree, Wallace A. The Irrelevance of Distribution for the Syllogism. Notre Dame Journal of Formal Logic 35 (1994), no. 3, 433--449. doi:10.1305/ndjfl/1040511349. http://projecteuclid.org/euclid.ndjfl/1040511349.


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References

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