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Have you ever looked at survey results where the numbers just don't seem to add up? The solution often lies in a fundamental branch of mathematics that is critical for programmers, data scientists, and analysts: Set Theory. This video breaks down the core concepts of Set Theory by solving a simple puzzle about a student survey. We'll show you how a seemingly impossible problem becomes clear once you understand the language of sets. You will learn: The Core Concept: What a set is and why it's a powerful tool for organizing information. The 3 Key Operations: A clear explanation of Union, Intersection, and Difference. Solving the Puzzle: How to apply these operations to see where the "extra" students in our survey were hiding. Beyond the Puzzle: A brief look at how these ideas apply to numbers with Real Intervals. This is the perfect introduction to the logic that powers databases, search algorithms, and so much more. Chapters: 0:00 - The Puzzle: Why Don't the Numbers Add Up? 1:01 - Part 1: The Language of Sets 1:48 - Part 2: The 3 Basic Set Operations 3:21 - Part 3: Solving the Mystery 5:19 - Part 4: From Groups to Numbers (Real Intervals) #SetTheory #MathForProgrammers #VennDiagrams #SetTheoryForBeginners #UnionIntersectionDifference #DiscreteMathematics #ComputerScience #Logic #DataScience #SQLJoins #DatabaseTheory #MathPuzzles #SetOperations #RelationalAlgebra #DataAnalysis