👉 In logic and mathematics, a syllogism is an argument that starts with two premises (the "hypotheses") and concludes with another premise. This structure can be used to prove other premises by assuming one of them is true. For example: Premise 1: All men are mortal. Premise 2: John is a man. Premise 3: Therefore, John is mortal. This argument proves that John is mortal based on the assumption that all men are mortal.