Identifying Sets of Real Numbers

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=WQWkG9cQ8NQ

What does it mean for two infinite sets to have the same size? For instance, are the Integers and the Rationals (numbers like 2/3) the same size? They are certainly both infinite, but the question is whether infinite really only represents one concept or whether it divides into multiple concepts. • In this video we investigate a notion called countable which extends from the basic way we count finite sets. According to that notion, the integers and the rationals have the same size. • In the next video we will compare the integers and the REAL numbers. • Follow me on Twitter: / treforbazett • Now it's your turn: • 1) Summarize the big idea of this video in your own words • 2) Write down anything you are unsure about to think about later • 3) What questions for the future do you have? Where are we going with this content? • 4) Can you come up with your own sample test problem on this material? Solve it! • Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master calculus means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK. • BECOME A MEMBER: • ►Join: / @drtrefor • MATH BOOKS MERCH I LOVE: • ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

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