7.5 Probabilistic and Combinatorial Proofs
Using counting, random choice, and finite structure to prove identities and existence statements.
6 notes
Using counting, random choice, and finite structure to prove identities and existence statements.
Proving existence by giving explicit witnesses, algorithms, or methods of construction.
Using base cases and step rules to prove statements about objects built recursively.
Proving a statement by assuming its negation and deriving an impossibility.
Proving a statement by starting from its assumptions and deriving its conclusion step by step.
Overview of the main methods used to prove mathematical statements.