Single, double.

(3) Polysyllogism.

Prosyllogism, episyllogism.

(4) Sorites.

Progressive, regressive.

Two rules of each.

(5) Irregular Arguments.

Quantitative, plurative.

7. SUMMARY.

(1) An enthymeme is a syllogism in which one of the three propositions is omitted. Suppressing the major premise gives an enthymeme of the first order; omitting the minor gives one of the second order; while omitting the conclusion gives one of the third order.