Set Theory
Dr. Trefor Bazett
Learn set theory & explore cardinality with Dr. Trefor Bazett's course. Master the fundamentals through this accessible YouTube playlist!
More resources on Cardinality
nLab: Cardinality
Advanced category-theoretic perspective
Stanford Encyclopedia of Philosophy: Set Theory
Comprehensive entry on set theory including cardinality
Hilbert's Infinite Hotel Paradox
Numberphile on countability
How To Count Past Infinity
Vsauce explains countable and uncountable infinities
mathworld.wolfram.com
MathWorld is Wolfram's comprehensive online math encyclopedia with in-depth articles on topics across mathematics, including cardinality. Each article offers clear definitions, explanations, formulas, examples, and diagrams to help you understand the concept.
Introduction to Mathematical Thinking
Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years. Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.