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Propositional Logic Fundamentals

Course Reviews

Track :

Mathematics

Lessons no : 148

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What will you learn in this course?
  • Master constructing and evaluating propositional logic statements using logical operators and truth tables
  • Apply propositional logic principles to analyze and solve real-world reasoning problems effectively
  • Identify logical fallacies and errors in arguments through propositional logic analysis
  • Translate natural language statements into formal propositional logic expressions accurately
  • Utilize truth tables to determine logical validity and consistency of complex propositions
  • Implement propositional logic techniques to enhance critical thinking and decision-making skills
  • Develop skills to simplify and manipulate propositional logic formulas for problem-solving
  • Recognize the role of propositional logic in computer science, artificial intelligence, and digital circuits

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Lessons | 148
Introduction to Discrete Mathematics
00:09:37

Introduction to Discrete Mathematics
Motivation Introduction to Propositional Logic
00:08:14

Motivation Introduction to Propositional Logic
Propositional Logic Propositional Variables Compound Propositions
00:06:28

Propositional Logic Propositional Variables Compound Propositions
Logical Operators − Negation Conjunction Disjunction
00:06:09

Logical Operators − Negation Conjunction Disjunction
Logical Operators − Exclusive OR
00:06:51

Logical Operators − Exclusive OR
Logical Operators − Implication Part 1
00:10:18

Logical Operators − Implication Part 1
Logical Operators − Implication Part 2
00:15:24

Logical Operators − Implication Part 2
Logical Operators − Implication Part 3
00:07:56

Logical Operators − Implication Part 3
Converse Contrapositive and Inverse
00:03:47

Converse Contrapositive and Inverse
Logical Operators − Biconditional Operator
00:06:25

Logical Operators − Biconditional Operator
Propositional Logic − Precedence of Logical Operators
00:06:20

Propositional Logic − Precedence of Logical Operators
Translating Sentences into Logical Expressions
00:10:16

Translating Sentences into Logical Expressions
Propositional Logic − Puzzle 1
00:11:18

Propositional Logic − Puzzle 1
Propositional Logic − Puzzle 2
00:09:57

Propositional Logic − Puzzle 2
Propositional Logic Solved Problem 1
00:05:49

Propositional Logic Solved Problem 1
Tautology Contradiction Contingency Satisfiability
00:05:05

Tautology Contradiction Contingency Satisfiability
Propositional Logic − Logical Equivalences
00:17:23

Propositional Logic − Logical Equivalences
Propositional Logic Solved Problem 2
00:06:13

Propositional Logic Solved Problem 2
Propositional Logic Solved Problem 3
00:04:31

Propositional Logic Solved Problem 3
Propositional Logic Solved Problem 4
00:05:11

Propositional Logic Solved Problem 4
Propositional Logic Solved Problem 5
00:05:25

Propositional Logic Solved Problem 5
Propositional Logic Solved Problem 6
00:06:08

Propositional Logic Solved Problem 6
Propositional Logic Solved Problem 7
00:06:31

Propositional Logic Solved Problem 7
Rules of Inference Basic Terminology
00:06:14

Rules of Inference Basic Terminology
Rules of Inference Definition Types of Inference Rules
00:07:44

Rules of Inference Definition Types of Inference Rules
Arguments Building Using Rules of Inference Part 1
00:05:39

Arguments Building Using Rules of Inference Part 1
Arguments Building Using Rules of Inference Part 2
00:05:57

Arguments Building Using Rules of Inference Part 2
Checking The Validity of An Argument Shortcut Method
00:03:58

Checking The Validity of An Argument Shortcut Method
Rules of Inference in Propositional Logic Solved Problem 1
00:03:18

Rules of Inference in Propositional Logic Solved Problem 1
Rules of Inference in Propositional Logic Solved Problem 2
00:04:07

Rules of Inference in Propositional Logic Solved Problem 2
The Limitation of Propositional Logic
00:04:54

The Limitation of Propositional Logic
Introduction to First Order Logic
00:05:20

Introduction to First Order Logic
Finding The Truth Values of Predicates Examples
00:02:30

Finding The Truth Values of Predicates Examples
Quantifiers
00:05:05

Quantifiers
Universal Quantifiers
00:03:48

Universal Quantifiers
Universal Quantifiers Counter Examples
00:03:42

Universal Quantifiers Counter Examples
Expressing Quantifications in English
00:03:12

Expressing Quantifications in English
Existential Quantifiers
00:04:06

Existential Quantifiers
Existential Quantifiers Examples
00:04:46

Existential Quantifiers Examples
Quantifiers with Restricted Domain
00:03:39

Quantifiers with Restricted Domain
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Propositional Logic course, This course delves into the fundamentals of Propositional Logic, exploring its rules and applications in logical reasoning and problem-solving.