Foundations of Propositional Logic: Beyond Syllogisms

Do you want to critically evaluate arguments and understand the fundamental building blocks of logical thought? This course provides a clear, text-based introduction to propositional logic, moving beyond traditional syllogisms. You will gain the foundational skills to dissect complex statements, identify logical relationships, and construct sound arguments, empowering you to think more clearly and make informed decisions. What you'll learn: Understand core logical connectives like negation, conjunction, disjunction, implication, and biconditional. Construct truth tables to determine the truth values of complex propositions and evaluate argument validity. Translate natural language statements into precise propositional logic expressions. Analyze the structure of arguments to identify fallacies and ensure logical soundness. Learn basic formal proof techniques, including direct proofs and understanding logical equivalences. Apply propositional logic to solve simple logical puzzles and reasoning problems. The course begins with fundamental definitions and symbols, gradually introducing the tools of propositional logic. We then explore how to apply these tools to analyze and build logical arguments step-by-step. This course is designed for absolute beginners with no prior experience in logic or formal reasoning. All concepts are introduced from scratch, making it accessible to anyone interested in critical thinking. Begin your journey into the fascinating world of formal logic today.