Cardinality of Sets: Countable and Uncountable

Related lectures (24)

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Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explains Cantor's theorem comparing cardinalities of different number sets.

Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Introduces Cartesian product and induction for proofs using integers and sets.

Explores bijections in linear algebra and the concept of cardinality between sets.

Covers the definition and properties of Markov chains, including transition matrix and examples.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.