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You can safely ignore it, the document is just a summary of Knuth's book. And it's a good one, I found it very helpful when I was working through the book. I fo
by maxbond 5y ago
You can safely ignore it, the document is just a summary of Knuth's book. And it's a good one, I found it very helpful when I was working through the book. I found I had to read the material from several different sources to understand, in addition to working things out on paper/in code.
I'm not religious myself but honestly that seems like a perfectly reasonable motivation. While there are some people who believe the Surreals could lead to a deeper form of analysis, I think the most common reason to learn them is to apprehend something beautiful without any sort of utility. But as a heads up, if that doesn't sit right with you, then Knuth's book is probably not right for you either; it's framed in the style of the old testament. On the first day, Conway created zero, and saw that it was good; things like that.
This may be more to your taste.
https://www.youtube.com/watch?v=mPn2AdMH7UQ https://www.youtube.com/watch?v=mPn2AdMH7UQ
https://www.youtube.com/watch?v=1eAmxgINXrE https://www.youtube.com/watch?v=1eAmxgINXrE
https://core.ac.uk/download/pdf/51289919.pdf https://core.ac.uk/download/pdf/51289919.pdf
- dvt 5y ago> You can safely ignore it, the document is just a summary of Knuth's book. Knuth is a Lutheran, by the way (uh-oh). He even wrote 3:16 Bible Texts Illuminated[1]. [1] https://www.amazon.com/3-16-Bible-Texts-Illuminated/dp/0895792524 https://www.amazon.com/3-16-Bible-Texts-Illuminated/dp/08957...
- maxbond 5y agoI didn't know that, that's interesting. Thank you. To clarify, I didn't mean, you can ignore it because it's irrelevant, as much as, you can derive the bulk of the value from the text if you ignore the introduction.
- dhosek 5y agoPerhaps even more interesting is Knuth’s Things a Computer Scientist Rarely Talks About which goes into a bit more of his religious life and how he applies some mathematical techniques (particularly Monte Carlo–style random selection). The genesis of 3:16 (so to speak) is discussed as well. http://www.amazon.com/exec/obidos/ASIN/157586326X/donhosek http://www.amazon.com/exec/obidos/ASIN/157586326X/donhosek
- globular-toast 5y agoKnuth isn't evangelical, though. Like Bach and many others, Knuth's works could be classified as either religious or secular. He doesn't shoehorn religion into every work.
- exmadscientist 5y agoFor what little it's worth, I am not a religious person, but I found Knuth's Surreal Numbers perfectly reasonable, much more on the tongue-in-cheek side than the proselytizing side. And the surreal numbers are over of my favorite things in mathematics, so I'd say they're worth it :)
- weatherlight 5y agoThanks, this was constructive and informative.