Applications of Reasoning -- Categorical Syllogism

A categorical syllogism is a structured argument made of three statements: two premises and a conclusion, each built from categories (sets) linked by words like all, no, or some. The goal is to test whether the conclusion follows necessarily from the premises — not whether it is factually true, but whether the reasoning is airtight. For example, if all $A$ are $B$ and all $B$ are $C$, then all $A$ must be $C$; this is valid. Understanding this form sharpens your ability to spot logical g …