Examples:
- classification of finite simple groups
- classification of regular polytopes
- classification of closed surfaces, and more generalized generalized Poincaré conjectures
- classification of associative real division algebras
- classification of finite fields
- classification of simple Lie groups
- classification of the wallpaper groups and the space groups
One of the first formal proof systems. This is actually understandable!
This is Ciro Santilli-2020 definition of the foundation of mathematics (and the only one he had any patience to study at all).
TODO what are its limitations? Why were other systems created?
The prototypical example is the Busy beaver function, which is the easiest example to reach from the halting problem.
This is about functions that take functions as input or output.
TODO understand.
On May 19, 2020, Lazlo announced on the Bitcoin Forum at: bitcointalk.org/index.php?topic=137.msg1195Ciro Santilli remembers his father always telling him how when Ciro was small, he would try to grasp the value of money by converting it into how many pizzas he could buy. Well, at least he was not alone.
I'll pay 10,000 Bitcoins for a couple of pizzas.. like maybe 2 large ones so I have some left over for the next day. I like having left over pizza to nibble on later. You can make the pizza yourself and bring it to my house or order it for me from a delivery place, but what I'm aiming for is getting food delivered in exchange for bitcoins where I don't have to order or prepare it myself, kind of like ordering a 'breakfast platter' at a hotel or something, they just bring you something to eat and you're happy!
User bitcoin2paysafe then asks the fundamental practical question:and Lazslo replies:
In which country do you live?
Jacksonville, Florida
zip code 32224
United States
User ender_x then points out afterward:so it is a slightly bad deal even then!
10,000... Thats quite a bit.. you could sell those on www.bitcoinmarket.com/ for $41 USD right now..
Three days later Lazlo's asks again on the thread:and one day later he confirms that the sale was made without naming the buyer:where "jercos" is presumably the Bitcoin Forum username of the buyer. en.bitcoin.it/wiki/Jercos gives his identity as Jeremy Sturdivant.
Pictures: heliacal.net/~solar/bitcoin/pizza/Thanks jercos!
www.thesun.co.uk/news/15049566/other-bitcoin-pizza-jeremy-sturdivant-fortune-hanyecz/ mentions Jeremy sold too early however:
The cryptocash disappeared when Sturdivant used it to "cover expenses" while travelling the US with his girlfriend.
Laszlo's secondary pizza event
. Source. web.archive.org/web/20210217220810/http://heliacal.net/~solar/bitcoin/lightning-pizza/ documents another pizza event, as we have different pizza boxes from the most widely known one: web.archive.org/web/20211219130004/http://heliacal.net/~solar/bitcoin/pizza/ Only image thumbs are archived however. web.archive.org/web/20211016070745/https://www.thesun.co.uk/news/15049566/other-bitcoin-pizza-jeremy-sturdivant-fortune-hanyecz/ however shows a large version that The Sun got their hands on before the takedown.heliacal.net is presumably his personal website? But is was down as of 2023. But we have Wayback Machine archives of course :-) Latest working one of that page 2021: web.archive.org/web/20211219130004/http://heliacal.net/~solar/bitcoin/pizza/ And some other stalking:Laszlo is truly, literally, the nerd who got very very very lucky!!!
- web.archive.org/web/20090812075412/http://heliacal.net/pmwiki
- web.archive.org/web/20091031044500/http://heliacal.net/pmwiki/Main/Cats he's a mega cat owner
- At web.archive.org/web/20091031044606/http://heliacal.net/pmwiki/Main/Jackie we get to stalk his wife a bit:
- web.archive.org/web/20030805153714/http://heliacal.net/~solar/ that home has some files, partly early piracy
On June 12, 2010 Laszlo re-offers:and on August 4 user MoonShadow takes him up:but finally Laszlo withdrawls the offer:so we understand that the sales happened multiple times!!! Also, we understand that he was probably a miner.
This is an open offer by the way.. I will trade 10,000 BTC for 2 of these pizzas any time as long as I have the funds (I usually have plenty). If anyone is interested please let me know. The exchange is favorable for anyone who does it because the 2 pizzas are only about 25 dollars total, maybe 30 if you give the guy a nice tip. If you get me the upgraded extra large ones or something, I can throw in some more bitcoins, just let me know and we'll work something out.
Well I didn't expect this to be so popular but I can't really afford to keep doing it since I can't generate thousands of coins a day anymore. Thanks to everyone who bought me pizza already but I'm kind of holding off on doing any more of these for now.
TODO list all of the potential sales.
Bibliography:
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact