Induction and Recursion: Mathematical and Strong Induction - An Example

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

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Explains mathematical induction for proving propositions true for all positive integers.

Mathematical Recursion: Induction and Recursion

Covers the principle of mathematical induction for proving propositions true for all positive integers.

Strong Induction: Proof Method and Application

Explores strong induction as a proof method and demonstrates its application in proving a theorem about positive integers.

Induction and Recursion: Quiz

Covers topics related to induction and recursion, including mathematical induction proofs and recursive definitions.

Strong Induction: The Power of Mathematical Proof

Explores strong induction as a powerful proof method with advantages over mathematical induction, demonstrated through a theorem about expressing integers as sums of powers of two.

Recursively Defined Functions

Introduces recursively defined functions and demonstrates how to compute values and prove properties using mathematical induction.

Recursion and Induction: Understanding Mathematical Proofs

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