Prove That $p \rightarrow q$ And Its Converse Are Not Logically Equivalent

question 135

Short Answer

Prove that $p \rightarrow q$ and its converse are not logically equivalent.

---

Definitions:

Law of Small Numbers

The law of small numbers is the cognitive bias that leads people to draw broad conclusions from a small set of data or experiences, potentially misrepresenting the larger picture.

Extremity

The degree to which an attitude, opinion, or action is far removed from the moderate or average position.

Stereotypes

Generalized beliefs or perceptions about groups of people that are often oversimplified and not based on personal experience.

Disconfirming Evidence

Information or data that challenges or contradicts existing beliefs or hypotheses, often used in the context of scientific research and critical thinking.