
Lecture Description
Basic Methods: We continue the study of cardinality with infinite sets. First the class of countably infinite sets is considered, and basic results given. Then we give examples of uncountable sets using Cantor diagonalization arguments.
Course Index
- Propositional Logic
- Logical Equivalence
- Formal Proofs
- Methods of Proof
- Example of Complete/Strong Induction
- Example of Induction (Advanced): Balanced Strings
- Naive Set Theory
- Set Operations
- Two Tough Set Equalities
- Binary Relations
- Mappings 1: Examples
- Mappings 2: Basic Properties
- Mappings 3: Composition and Inverse Mappings
- Cardinality 1: Finite Sets
- Cardinality 2: Infinite Sets
- Divisibility Properties of the Integers
- The Euclidean Algorithm for the Integers
Course Description
Math Doctor Bob provides a brief course on logic, proofs, sets, and the integers. Intended as a prerequisite playlist for Abstract Algebra and Real Analysis courses.
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