Complete Guide to Biconditionals: Definitions and Usage
A biconditional joins two statements with if and only if, asserting each implies the other. It is true only when both parts share the same truth value, which is why a good definition is always a biconditional. ( p rightarrow q ): If p, then q. ( q rightarrow p ): If q, then p. […]
How to Understand ‘If-Then’ Conditional Statements: A Comprehensive Guide
TL;DR: Every geometry proof you will ever write rests on one tiny sentence: if this, then that. That is a conditional statement, with a hypothesis (call it p) and a conclusion (call it q). Switch the pieces around and you get three cousins, the converse swaps them, the inverse negates them, and the contrapositive does […]