A syllogism, also known as a rule of inference, is a formal logical scheme used to draw a conclusion from a set of premises. An example of a syllogism is modus ponens.

# Syllogism

## See also

Conclusion, Deduction, Disjunctive Syllogism, Logic, Modus Ponens, Premise, Propositional Calculus## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Syllogism." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Syllogism.html