First-Order Logic: Predicates and Variables for Beginners

Formal logic is the foundation of computer science, database queries, and modern artificial intelligence algorithms. Yet, moving beyond basic propositional logic to first-order logic can feel like a steep climb without a clear, structured guide. This text-based course breaks down complex mathematical syntax into readable, intuitive concepts that anyone can grasp. You will transition from simple true-or-false statements to dynamic expressions that describe relationships and properties of objects. By understanding how variables and quantifiers interact, you will gain the mental models needed to write precise logical statements, analyze arguments, and understand how modern software engines process rules. What you'll learn: - Understand foundational logic terminology, starting with terms, domain of discourse, and truth values - Define predicates as open expressions and evaluate how they establish properties of objects - Apply variables and quantifiers to construct precise logical statements - Translate natural language sentences into formal first-order logic expressions - Practice evaluating logical formulas under different interpretations and domains - Analyze how first-order logic principles underpin modern database query languages This course begins with essential definitions and core terminology, ensuring you never feel lost in notation. You will progress step-by-step from single-variable predicates to multi-variable relations, guided by clear written explanations and practical translation exercises. This course is designed specifically for beginners, including computer science students, aspiring software engineers, and logic enthusiasts, with no prior background in formal mathematics required. Start reading today to unlock the power of formal logical reasoning.