👉 Craig Math, introduced by Alex Craig in his book "The Art of Mathematical Proof," is a systematic approach to constructing and verifying mathematical proofs. It emphasizes clarity, rigor, and the avoidance of unnecessary complexity by breaking down proofs into manageable, logical steps. The method encourages mathematicians to start with a clear statement of the theorem or proposition they aim to prove, then systematically derive it from axioms, previously proven theorems, and logical rules. Each step must be justified, often through direct computation or by referencing established results. Craig Math promotes the use of "proof templates" to structure arguments, ensuring they are both comprehensible and free from logical fallacies. This approach not only enhances the readability of proofs but also fosters a deeper understanding of the underlying mathematical concepts, making it a valuable tool for both teaching and research.
