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Bigger and Bigger Sets—Infinite Sets

Lecture no. 10 from the course: Prove It: The Art of Mathematical Argument

Bigger and Bigger Sets—Infinite Sets

Taught by Professor Bruce H. Edwards | 32 min | Categories: The Great Courses Plus Online Mathematics Courses

Tackle infinite sets, which pose fascinating paradoxes. For example, the set of integers is a subset of the set of rational numbers, and yet there is a one-to-one correspondence between them. Explore other properties of infinite sets, proving that the real numbers between 0 and 1 are uncountable.