Free online courseLogic Reasoning 101

Course Description

Welcome to Logic Reasoning 101, a comprehensive course designed and instructed by William Spaniel, specifically curated for beginners eager to dive into the realm of logical reasoning. With a total duration of 4 hours and 48 minutes, this course is meticulously crafted to provide a robust foundation in logical reasoning through a series of engaging and thoughtfully structured lectures and lessons. As a part of Basic Studies, and under the subcategory of Logical Reasoning, this course is perfect for anyone who desires to strengthen their analytical thinking and logical reasoning skills.

The course begins with an introductory session that sets the stage for the journey ahead. William Spaniel expertly navigates through an overview of the subject, laying the groundwork for what’s to come. As you move forward, you’ll explore the fundamental building blocks of logic, including the identification and representation of simple sentences, which are essential for understanding more complex logical structures.

Negation, conjunctions, and disjunctions are the next topics of focus. You'll delve into the nuances of how these operators work individually and within compound sentences, transforming simple arguments into more elaborate ones. Understanding these concepts will allow you to grasp the basics of logical statements and argumentation, which are vital for constructing and deconstructing logical arguments.

Conditional and biconditional statements follow, introducing you to the detailed mechanisms of "if-then" and "if and only if" structures. This segment is pivotal as it bridges the understanding of simple logical operations to more intricate logical conditions. Truth tables are then brought into play, equipping you with the tools to determine the validity of logical statements and arguments systematically.

The course journey continues with an exploration of more advanced topics such as vacuous truth, exclusive OR, and material implication. You’ll engage with complex truth tables, learn vital logical laws like DeMorgan’s and associativity, and understand critical proof strategies. William Spaniel guides you through practical examples and exercises, reinforcing your understanding and providing you with hands-on practice through proof strategies and logical laws.

Later sections of the course delve deeply into formal proof techniques, including modus ponens, modus tollens, and various forms of syllogism. You’ll learn how to introduce and simplify conjunctions and disjunctions, engage with biconditional introductions and eliminations, and master the intricacies of direct and indirect proofs.

The final phase of the course is dedicated to practice. William Spaniel provides multiple proof practice sessions where you can apply what you’ve learned in a structured and supportive environment. This practice will solidify your understanding, preparing you to tackle real-world logical problems and arguments with confidence.

Upon completion of Logic Reasoning 101, you’ll have acquired a strong foundation in logical reasoning, equipped with the skills to analyze, construct, and deconstruct logical arguments rigorously. Although there are no reviews yet, the comprehensive curriculum and William Spaniel’s expert instruction promise a rewarding educational experience. Embark on this journey today to unlock the power of logical reasoning and sharpen your critical thinking skills.