---
tag: 7MT8CPCEM4
kind: concept
name: Hypothetical syllogism
aliases: [chain-argument, conditional-syllogism, transitivity-of-implication]
sources:
  - wikipedia: en:177633@r1356009065
    locator: Hypothetical syllogism
    note: adopted
    mention: wikipedia://en/177633
    sections: [Summary]
same_as:
  wikidata: Q1641477
  wikipedia: Hypothetical syllogism
inventory: [6E1JVBEK1Z]
---

## Summary

In classical logic, a **hypothetical syllogism** is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises. Ancient references point to the works of Theophrastus and Eudemus for the first investigation of this kind of syllogism.