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Reference.org
Hypothetical syllogism
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<p>In <a href="/facts/Classical_logic/ls62MAms">classical logic</a>, a hypothetical syllogism is a valid <a href="/facts/Argument/1K1e3Xg4">argument</a> form, a <a href="/facts/Deductive_reasoning/HadA1zWS">deductive</a> <a href="/facts/Syllogism/cgpmd6jB">syllogism</a> with a <a href="/facts/Conditional_sentence/qJvIK5y4">conditional statement</a> for one or both of its <a href="/facts/Premise/HluL8lcd">premises</a>. Ancient references point to the works of <a href="/facts/Theophrastus/YEeQeInW">Theophrastus</a> and <a href="/facts/Eudemus_of_Rhodes/M5QkuCgq">Eudemus</a> for the first investigation of this kind of syllogisms. </p>