Arguments {syllogism} can have general statement or assumption {major premise}, fact or information {minor premise}, and statement to prove {conclusion, syllogism}.
types
Syllogism types correspond to statement types used for premises. Traditional logic used different premise figures and moods to make 16 * 16 = 256 syllogisms. 24 are valid. 19 are strong, because conclusion is as strong as the premises. 15 have equal strength in premises and conclusion {fundamental syllogism}.
Allowing negations, the eight possible forms each can have eight different expressions, making 64 possibilities for each two-premise-one-conclusion combination. Therefore, 64 * 64 * 64 different syllogisms exist.
universals
There cannot be particular solution with two universal premises.
Mathematical Sciences>Logic>Syllogism
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Date Modified: 2022.0224