Forms for Syllogisms

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This Demonstration shows categorical propositions, syllogistic figures, and 256 syllogistic forms, of which 24 are valid syllogisms.

Contributed by: Izidor Hafner (June 2016)
Open content licensed under CC BY-NC-SA



The letters A, E, I, and O have been used since the medieval schools to form mnemonic names for the forms as follows: "Barbara" stands for AAA, "Celarent" for EAE, and so on [4].


[1] L. Carroll, Symbolic Logic and the Game of Logic, New York: Dover Publications, 1958.

[2] I. M. Copi and C. Cohen, Introduction to Logic, 9th ed., New York: Macmillan Publications, 1994 pp. 214–218.

[3] J. M. Bocheński, A History of Formal Logic, 2nd ed. (I. Thoma, trans. and ed.), New York: Chelsea Publishing Company, 1970 p. 235.

[4] Wikipedia. "Syllogism."

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