Disjunctive syllogism Hypothetical syllogism Legal syllogism Polysyllogism Prosleptic syllogism Quasi-syllogism Statistical syllogism See also Syllogistic fallacy Argumentation theory Buddhist logic Enthymeme Formal fallacy Logical fallacy The False Subtlety of the Four Syllogistic Figures Tautology (logic) Venn diagram References Sources Aristotle, [c. 350 BCE] 1989. Prior Analytics, translated by R. Smith. Hackett. Blackburn, Simon. [1994] 1996. "Syllogism." In The Oxford Dictionary of Philosophy. Oxford University Press. . Broadie, Alexander. 1993. Introduction to Medieval Logic. Oxford University Press. . Copi, Irving. 1969. Introduction to Logic (3rd ed.). Macmillan Company. Corcoran, John. 1972. "Completeness of an ancient logic." Journal of Symbolic Logic 37:696–702. — 1994. "The founding of logic: Modern interpretations of Aristotle's logic." Ancient Philosophy 14:9–24. Corcoran, John, and Hassan Masoud. 2015. "Existential Import Today: New Metatheorems; Historical, Philosophical, and Pedagogical Misconceptions." History and Philosophy of Logic 36(1):39–61. Englebretsen, George. 1987. The New Syllogistic. Bern: Peter Lang. Hamblin, Charles Leonard. 1970. Fallacies. London: Methuen. . Cf. on validity of syllogisms: "A simple set of rules of validity was finally produced in the later Middle Ages, based on the concept of Distribution." Łukasiewicz, Jan. [1957] 1987. Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. New York: Garland Publishers. . . Malink, Marko. 2013. Aristotle's Modal Syllogistic. Cambridge, MA: Harvard University Press. Patzig, Günter. 1968. Aristotle's theory of the syllogism: a logico-philological study of Book A of the Prior Analytics. Dordrecht: Reidel. Rescher, Nicholas. 1966. Galen and the Syllogism. University of Pittsburgh Press. . Smiley, Timothy. 1973. "What is a syllogism?" Journal of Philosophical Logic 2:136–54. Smith, Robin. 1986. "Immediate propositions and Aristotle's proof theory." Ancient Philosophy 6:47–68. Thom, Paul. 1981. "The Syllogism." Philosophia. München. . External links Koutsoukou-Argyraki, Angeliki. Aristotle's Assertoric Syllogistic (Formal proof development in Isabelle/HOL, Archive of Formal Proofs) Aristotle's Prior Analytics: the Theory of Categorical Syllogism an annotated bibliography on Aristotle's syllogistic Fuzzy Syllogistic System Development of Fuzzy Syllogistic Algorithms and Applications Distributed Reasoning Approaches Comparison between the Aristotelian Syllogism and the Indian/Tibetan Syllogism The Buddhist Philosophy of Universal Flux (Chapter XXIII – Members of a Syllogism (avayava)) Online Syllogistic Machine An interactive syllogistic machine for exploring all the fallacies, figures, terms, and modes of syllogisms. Term logic Arguments