1. The user requested notes on logic, which is a branch of mathematics and philosophy dealing with reasoning and the principles of valid inference. 2. Logic involves understanding statements, truth values, logical connectives (such as AND, OR, NOT), and how to form valid arguments. 3. Key concepts include: - Propositions: statements that are either true or false. - Logical connectives: AND ($\wedge$), OR ($\vee$), NOT ($\neg$), IMPLIES ($\to$), and IF AND ONLY IF ($\leftrightarrow$). - Truth tables: tables that show the truth value of compound statements based on their components. - Logical equivalences: statements that have the same truth value in all cases, e.g., De Morgan's laws. - Quantifiers: universal ($\forall$) and existential ($\exists$) quantifiers used in predicate logic. 4. Logic is foundational for proofs, computer science, and reasoning rigorously about statements. 5. Since the request is broad, please specify if you want notes on propositional logic, predicate logic, or another specific area.