Free online courseLogic Reasoning 101

Duration of the online course: 4 hours and 48 minutes

New course

Learn basic logical reasoning with Logic Reasoning 101. Topics include simple and compound sentences, truth tables, logical laws, and proof strategies. Enroll for free today.

Course Description

Welcome to Logic Reasoning 101, a comprehensive course 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. The instructor 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. The instructor 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. The instructor 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 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.

Course content

  • Video class: Logic 101 (#1): Introduction 08m
  • Exercise: Why is learning logic beneficial across various professions?
  • Video class: Logic 101 (#2): Overview 06m
  • Exercise: What is the focus of Topic 1 in the Logic 101 course?
  • Video class: Logic 101 (#3): Finding Simple Sentences 07m
  • Exercise: How many simple sentences are in this statement?
  • Video class: Logic 101 (#4): Representing Simple Sentences 04m
  • Exercise: Why use single letters to represent simple sentences in logic?
  • Video class: Logic 101 (#5): Negation 05m
  • Exercise: What is the primary function of the negation operation in logic?
  • Video class: Logic 101 (#6): OR/Disjunction 05m
  • Exercise: What does the inclusive 'or' represent in logic?
  • Video class: Logic 101 (#7) Compound Sentences 05m
  • Exercise: What can cause ambiguity in logical expressions involving disjunctions?
  • Video class: Logic 101 (#8): AND/Conjunction 05m
  • Exercise: How does the 'and' conjunction function in logic?
  • Video class: Logic 101 (#9): Conditional (If-Then) Statements 08m
  • Exercise: Understanding the Conditional Logic Operator
  • Video class: Logic 101 (#10): Biconditional (IF AND ONLY IF) 04m
  • Exercise: What is the function of the biconditional logical operator?
  • Video class: Logic 101 (#11): Truth Tables 05m
  • Exercise: Why are truth tables useful in logic?
  • Video class: Logic 101 (#12): Truth Table Practice 04m
  • Exercise: What is the correct fifth column value for 'not P or P and Q' given P true and Q false?
  • Video class: Logic 101 (#13): Why Are Vacuously True Statements True? 08m
  • Exercise: What is the truth value of the implication "If P then Q" when the antecedent P is false?
  • Video class: Logic 101 (#14): Exclusive OR 05m
  • Exercise: What does the expression 'P or Q and not P and Q' represent?
  • Video class: Logic 101 (#15): Complicated Truth Tables 09m
  • Exercise: Why is calculating truth tables considered inefficient?
  • Video class: Logic 101 (#16): Double Negation 04m
  • Exercise: What is Double Negation in Logic?
  • Video class: Logic 101 (#17): Material Implication 05m
  • Exercise: What is material implication in logic?
  • Video class: Logic 101 (#18): Contraposition 05m
  • Exercise: What is the rule of contraposition in logic?
  • Video class: Logic 101 (#19): DeMorgan's Law, Part 1 06m
  • Exercise: What is the simplified form of '(not P or not Q) using de Morgan's law?
  • Video class: Logic 101 (#20): DeMorgan's Law, Part 2 04m
  • Exercise: What is the simplified form of 'not not P and not Q' according to de Morgan's Rule?
  • Video class: Logic 101 (#21): Applying Replacement Rules 06m
  • Video class: Logic 101 (#22): Associativity 03m
  • Video class: Logic 101 (#23): Commutativity 01m
  • Video class: Logic 101 (#24): Hard Replacement Rule Problem 09m
  • Video class: Logic 101 (#25): Distribution 04m
  • Video class: Logic 101 (#26): Idempotence 02m
  • Video class: Logic 101 (#27): Modus Ponens 06m
  • Video class: Logic 101 (#28): Modus Tollens 05m
  • Video class: Logic 101 (#29): Disjunctive Syllogism 03m
  • Video class: Logic 101 (#30): Hypothetical Syllogism 02m
  • Video class: Logic 101 (#31): Constructive Dilemma 03m
  • Video class: Logic 101 (#32): Destructive Dilemma 05m
  • Video class: Logic 101 (#33): Conjunction Introduction 01m
  • Video class: Logic 101 (#34): Simplification 01m
  • Video class: Logic 101 (#34.5): Biconditional Introduction and Elimination 02m
  • Video class: Logic 101 (#35): Disjunction Introduction 02m
  • Video class: Logic 101 (#36): Introduction to Proofs 07m
  • Video class: Logic 101 (#37): Killer Proof Strategy #1 (DeMorgan's Everything!) 05m
  • Video class: Logic 101 (#38): Working Backward (Killer Proof Strategy #2) 05m
  • Video class: Logic 101 (#39): Proof By Contradiction/Indirect Proof 09m
  • Video class: Logic 101 (#40): Conditional Proofs 04m
  • Video class: Logic 101 (#41): Tautologies 10m
  • Video class: Logic 101 (#42): Nested Proofs 08m
  • Video class: Logic 101 (#43): Proof Practice #1 06m
  • Video class: Logic 101 (#44): Proof Practice #2, Proof By Contradiction Edition 11m
  • Video class: Logic 101 (#45): Proof Practice #3, Nested Conditional Proofs Edition 08m
  • Video class: Logic 101 (#46): Proof By Cases (Killer Proof Strategy #3) 09m
  • Video class: Logic 101 (#47): Biconditional Tautologies 07m
  • Video class: Logic 101 (#48): Affirming the Consequent 05m
  • Video class: Logic 101 (#49): Denying the Antecedent 04m

This free course includes:

4 hours and 48 minutes of online video course

Certificate of course completion

Exercises to train your knowledge

100% free, from content to certificate

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