Read Sections 1-2 (pages 1-5) and Section 4 (pages 8-11) of William Thurston’s essay On Proof and Progress in Mathematics. The purpose of his essay is to give his understanding of the meta concepts of math- ematics. Just don’t worry about difficult part. For example, on the top of page 4, he gives a definition of derivatives involving complicated notions such as Lagrangian sections. His point is that it is something deep, complicated, and only something understood by experts in a particular field. You aren’t supposed to understand what it means.
Write at least half a page and at most one page on your impressions and thoughts on what you read.
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