Main Page | See live article | Alphabetical index A hypothetical syllogism is a valid argument of the following form: P → Q. Q → R. Therefore, P → R. In logical operator notation In other words, this kind of argument states that if one implies another, and that other implies a third, then the first implies the third. An example hypothetical syllogism: If I do not wake up, then I cannot go to work. If I cannot go to work, then I will not get paid. Therefore, if I do not wake up, then I will not get paid. See also syllogism, disjunctive syllogism. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.