Introduction to Logical Reasoning and Resolution Refutation

Logical reasoning is the foundation of computer science, mathematics, and analytical philosophy, yet formalizing arguments can feel daunting. This written course demystifies the structure of formal logic, teaching you how to evaluate statements and prove arguments mathematically. You will transition from understanding basic logical connectives to executing rigorous resolution proofs, giving you a powerful framework for systematic problem-solving and automated reasoning. What you'll learn: Understand the core principles of propositional calculus and logical connectives; Convert complex logical statements into Conjunctive Normal Form (CNF); Apply the resolution rule to systematically prove or refute arguments; Explore first-order logic and the basics of predicate calculus; Practice formalizing natural language arguments into precise mathematical symbols; Learn how modern SAT solvers and automated theorem proving utilize these foundational concepts. Starting with foundational definitions and truth tables, you will progress through logical equivalence, normalization techniques, and step-by-step resolution proofs. This course is designed for beginners in computer science, mathematics, or philosophy, with no prior background in formal logic required. Read through the structured explanations and sharpen your analytical thinking skills today.