An example of a syllogism [ˈsɪləˌdʒɪzəm] is “All men are mortal; no gods are mortal; therefore no men are gods.”

syllogism
noun [ˈsɪləˌdʒɪzəm]

Syllogism refers to a formal argument in logic that is formed by two statements and a conclusion which must be true if the two statements are true.

For those trained in formal argument, the syllogism is a classical form of deduction, specifically an argument consisting of a major and a minor premise and a conclusion.

English