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darkmightyonFeb 5, 2015
j-pbonMay 15, 2020
- Clasical logic as the foundation for math.
- Proofs by contradiction work.
- That the church turing thesis holds.
I guess these are kinda two sides of the same coin. But still worth noting.
telonJune 16, 2013
[1] http://hackage.haskell.org/packages/archive/prelude-safeenum...
[2] http://www.cs.ox.ac.uk/jeremy.gibbons/publications/rationals...
It's one of the best books I've ever bought measured in raw joy and satisfaction per page. Like all proofs, reading is a very involved process, but these are genuinely stunning ones.
tokenadultonMay 15, 2011
http://www.amazon.com/Proofs-BOOK-Martin-Aigner/dp/364200855...
discusses the art gallery problem, among many interesting mathematical problems, and then exemplifies the playful spirit of mathematical proof by including in that discussion a photograph of what is quite possibly the ugliest art museum ever built--on the campus of my alma mater university.
http://www1.umn.edu/twincities/maps/WeismanArt/photo.jpg
(The photo shown in the book is different from this official photo, but you get the idea.)
For the rest of my life, I will always smile when I think of the art gallery problem, because it will remind me of what the authors of Proofs from THE BOOK asked their readers about the Weisman Art Museum (which I refer to as the "Ugly Art Museum"). Thanks for making me smile by submitting this link to the Wikipedia article.