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- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/02%3A_Logic/2.01%3A_Formal_LogicThis page defines statements and distinguishes them from non-statements, introduces logic operations and truth tables for combining statements, and explains equivalence of statements using DeMorgan's ...This page defines statements and distinguishes them from non-statements, introduces logic operations and truth tables for combining statements, and explains equivalence of statements using DeMorgan's Laws. It highlights conditions for compound statements to be false and includes practice checklists for truth tables and equivalence inquiries from previous exercises.
- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/07%3A_The_BiconditionalThis page covers biconditionals, defined by "if and only if," indicating that two statements hold the same truth value. It includes explanations, examples, and exercises to practice identifying and re...This page covers biconditionals, defined by "if and only if," indicating that two statements hold the same truth value. It includes explanations, examples, and exercises to practice identifying and rewriting biconditionals while emphasizing their significance in logic, mathematics, and computer science. The text provides truth tables, real-life scenarios, and puzzles to illustrate their dual implications.
- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/05%3A_If-Then_StatementsThis page highlights the significance of if-then statements in programming, logic, and decision-making across disciplines like law and medicine. It explains how mastering these logical constructs prev...This page highlights the significance of if-then statements in programming, logic, and decision-making across disciplines like law and medicine. It explains how mastering these logical constructs prevents errors and enhances reasoning. Exercises on rewriting statements, identifying hypotheses and conclusions, and applying Modus Ponens and Modus Tollens are included for reinforcement.