Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including: Proof by deduction, Proof by exhaustion, Disproof by counter example, Proof by contradiction (including proof of the irrationality of √2 and the infinity of primes, and application to unfamiliar proofs)(Pearson Edexcel A-Level)

Mastery Mind: Mathematics Revision · Oct 20, 2026 · 5m

Mathematical Proof is the art of demonstrating that a statement is true beyond any doubt, using logical steps rather than just examples. Mastering proof methods—like deduction, exhaustion, counter-example, and contradiction—will not only secure you top marks in the exam but also sharpen your logical thinking skills. Listen to this audio revision guide for Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including: Proof by deduction, Proof by exhaustion, Disproof by counter…