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- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/02%3A_Logical_ReasoningThis page emphasizes the significance of logical reasoning, particularly deductive reasoning, as a structured approach to conclusions. It contrasts informal, intuitive reasoning with formal logic, whi...This page emphasizes the significance of logical reasoning, particularly deductive reasoning, as a structured approach to conclusions. It contrasts informal, intuitive reasoning with formal logic, which employs strict rules to reduce ambiguity. The text addresses misconceptions about logic, affirming that it is learnable for anyone. Practical applications, illustrated with a colored balls example, and exercises for skill practice are also included.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_(Levin)/3%3A_Symbolic_Logic_and_Proofs/3.1%3A_Propositional_LogicA proposition is simply a statement. Propositional logic studies the ways statements can interact with each other. It is important to remember that propositional logic does not really care about the c...A proposition is simply a statement. Propositional logic studies the ways statements can interact with each other. It is important to remember that propositional logic does not really care about the content of the statements. For example, in terms of propositional logic, the claims, “if the moon is made of cheese then basketballs are round,” and “if spiders have eight legs then Sam walks with a limp” are exactly the same. They are both implications.
- https://math.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame_IN/SMC%3A_MATH_339_-_Discrete_Mathematics_(Rohatgi)/Text/3%3A_Symbolic_Logic_and_Proofs/3.2%3A_Propositional_LogicA proposition is simply a statement. Propositional logic studies the ways statements can interact with each other. It is important to remember that propositional logic does not really care about the c...A proposition is simply a statement. Propositional logic studies the ways statements can interact with each other. It is important to remember that propositional logic does not really care about the content of the statements. For example, in terms of propositional logic, the claims, “if the moon is made of cheese then basketballs are round,” and “if spiders have eight legs then Sam walks with a limp” are exactly the same. They are both implications.
- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/09%3A_More_on_Truth_TablesThis page explores truth tables and their importance in logical reasoning, covering propositional connectives, construction of truth tables, and concepts such as tautologies, contradictions, and conti...This page explores truth tables and their importance in logical reasoning, covering propositional connectives, construction of truth tables, and concepts such as tautologies, contradictions, and contingencies. It illustrates their practical applications in validating arguments, circuit design, software testing, and legal analysis while addressing misconceptions.
- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/03%3A_Propositional_LogicThis page discusses propositional logic, emphasizing its importance in structuring reasoning through propositions with defined truth values. It covers logical connectives, including negation, conjunct...This page discusses propositional logic, emphasizing its importance in structuring reasoning through propositions with defined truth values. It covers logical connectives, including negation, conjunction, and disjunction, and introduces the exclusive or (XOR), discussing the role of parentheses and precedence. The text highlights practical applications in fields like computer science and law, addresses common misconceptions, and provides exercises for better understanding.