Abstract
Different understandings of Aristotle's syllogistic as a logical theory are reviewed. Leibniz offered a mathematical interpretation of syllogistic. Boole expressed all syllogistic relations by means of algebraic formulas. Lukasiewicz built a system of syllogistic as a logical theory separate and different from the predicate calculus Comparing syllogistic with other formal systems, its definitional equivalence with Boolean algebra is proven. Many systems of syllogistic are built, and their differences are due to recognizing the bearer of existential sense of categorical propositions. It is shown that these systems can be embedded in the predicate calculus, which means that syllogistic is not a separate and different theory from the predicate calculus.
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