Understand and be able to use the structure of mathematical proof.
Use methods of proof, including proof by deduction and proof by exhaustion.
Proceeding from given assumptions through a series of logical steps to a conclusion.
Understand and be able to use the structure of mathematical proof.
Use methods of proof, including proof by deduction and proof by exhaustion.
Proceeding from given assumptions through a series of logical steps to a conclusion.
Be able to disprove a conjecture by the use of a counter example.
Understand and be able to use proof by contradiction.
Including proof of the irrationality of and the infinity of primes, and application to unfamiliar proofs.