🌘 證明何時纔算本質相同?
➤ 討論不同證明間的本質相同性及證明轉換技巧。
https://gowers.wordpress.com/2007/10/04/when-are-two-proofs-essentially-the-same/
在數學相關討論中,如何判斷兩個證明是否本質相同是個有趣的挑戰。作者探討了證明之間的「本質平等」,提出作為簡化證明概念的困難。文章分享了各種類型的證明,從機械性轉換至更複雜的轉換,探究證明之間的關聯性和差異性。
+ 有趣的討論,展示了證明之間的微妙關係。
+ 數學證明中的邏輯推理讓人驚嘆,證明的多樣性也是其魅力所在。
#Gowers's Weblog
When are two proofs essentially the same?

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it is better to be in a position where you can remember the ideas in a way that makes it easy to reconstruct the details than to be in a position where you have all the details in front of you but are less certain of the underlying ideas #gowers
according to #gowers this has a low crackpot-index score https://arxiv.org/abs/1708.03486