hypothetical syllogism

logic

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A hypothetical syllogism is a type of logical argument that consists entirely or partly of hypothetical propositions. In logic, a syllogism is a valid deductive argument with two premises and a conclusion. Hypothetical syllogisms are a form of non-categorical syllogistic, which uses entire propositions as its units, as opposed to categorical syllogistic that analyzes terms within propositions.123

There are two types:
* Pure hypothetical syllogism: Composed solely of hypothetical propositions.1
* Mixed hypothetical syllogism: Includes one hypothetical and one categorical premise, leading to a categorical conclusion.3

These arguments are a part of formal logic, which is the study of reasoning and the structures that allow for true conclusions to be inferred from given premises.3

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history of logic
Theophrastus of Eresus
…also credited with investigations into hypothetical syllogisms. A hypothetical proposition, for Theophrastus is a proposition made up of two or more component propositions (e.g., “p or q,” or “if p then q”), and a hypothetical syllogism is an inference containing at least one hypothetical proposition as a premise. The extent…
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…also credited with investigations into hypothetical syllogisms. A hypothetical proposition, for Theophrastus is a proposition made up of two or more component propositions (e.g., “p or q,” or “if p then q”), and a hypothetical syllogism is an inference containing at least one hypothetical proposition as a premise. The extent…
Read More