- How do proofs in maths work? What had to happen before mathematicians were able to say that they ‘knew’ Fermat’s Last Theorem was actually correct?

- A reason that explains why numbers fit the equation without having to check every single number. Widely approved by mathematicians and is right in all situations. The initial “proofs” are called conjecture, which becomes a plausibility argument and lastly, rigorous proof.

2. In what ways is this proof in maths different from / similar to the method used to prove things in the natural sciences?

- The two methods are quite different because there is no limit to the values that can be used and it’s impossible to test numbers due to having infinite numbers. However it similar in a way where there is accidental discoveries that come from approaches of proof, as well as multiple trials required to try and prove the claim. Unlike natural science approaches, often ideas and approaches come at random times by subconsciously thinking about them. Mathematicians work with numbers, and very rarely will they need external/physical materials to run their trials.

3. Keep a separate list of quotations / moments from the film that support / undermine stereotypes about maths as a subject

- Proof ofr math requires many other mathematician’s perspective, calculations and aid. They approach a proof with another concept from another mathematician and different approaches can produce the same answer or proof. So one idea that is seemingly unrelated can aid with the understanding of another concept. It is said in the documentary that Fermat and Andrew’s proof are different because the way of approach is different due to the century they live in, perhaps signifying that proofs are influenced by existing theories, concepts and knowledge claims.
- Math as a subject is in its own subject area due to the fact that it can be done on it’s own without external information from other subject areas. It is possible for mathematicians to work solely with numbers. However, it can be applied to other subjects such as physics to support that AOK’s knowledge claims.