Are mathematical proofs actually just instructions for a mental recipe?
In short: Dr Fenner Tanswell explores a surprising linguistic connection between the structure of mathematical proofs and the instructional nature of cooking recipes.
The lecture examines how written proofs function as sets of instructions for the reader to perform specific mathematical actions. By analyzing linguistic evidence, Tanswell demonstrates that proofs often utilize the imperative mood—the same grammatical form found in recipes—to guide the reader through a logical process. This comparison extends to the role of mathematical diagrams and offers a unique perspective on the act of reading and writing mathematics.
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- Summary by Intellect · source: How Mathematical Proofs Are Like Recipes
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