What is the term for a set of three statements that demonstrates deduction?

The term that refers to a set of three statements demonstrating deduction is syllogism. A syllogism is a logical form of reasoning where a conclusion is drawn from two premises that share a common term. For instance, if the first premise states that all humans are mortal, and the second premise asserts that Socrates is a human, the conclusion follows that Socrates is mortal. This structured reasoning showcases how deductive logic operates effectively.

The other terms listed do not adequately define this concept. A thesis statement outlines the main argument or claim of a piece of writing, while a hypothesis is a proposed explanation or educated guess that can be tested through research. Lastly, an argument consists of a series of reasons to support a conclusion but does not specifically denote the deductive structure characteristic of a syllogism. Thus, syllogism is the precise term that captures the essence of a three-statement deduction.