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- Definitions: FSc Part 1 (Mathematics): PTB
- ble involved in it is called tautology.\\ e.g. $p\rightarrow q\leftrightarrow (\sim q \rightarrow \sim p)$ is a tautology. * **Contradiction:** A statement which is always false is ca... n the truth values of variable. \\ e.g. $(p \longrightarrow q)\wedge (p \vee q)$ is the contingency. * **F
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
- th values of its variables. ===Example:=== \( p \rightarrow q \leftrightarrow (\neg q \rightarrow \neg p) \) is a tautology because its truth table shows that it is always true, regardles... h values of its variables. ===Example:=== \( (p \rightarrow q) \land (p \lor q) \) is a contingency because i