v64

Thanks for pointing this out! Game 6 started at 4:30pm local time and ended at 12:17am, making the game length 7 hours and 47 minutes total. It was the first time since adjournments were abolished in the 90s that a championship game started on one day and ended on another.

Although Fischer achieved the same 4 point margin, Spassky had 3 victories (including the forfeit) in that match, whereas both Lasker and Nepomniachtchi had none.

This match was notable for a number of reasons:

1) Game 6 lasted 136 moves, making it the longest game in world championship history, surpassing the 124 move game 5 of Korchnoi-Karpov in 1978.

2) Carlsen's victory in game 6 was also the first decisive match game (excluding tiebreakers) since game 10 of Carlsen's defense against Karjakin in 2016. Carlsen's defense against Caruana in 2018 featured 12 draws before moving into tiebreakers.

3) Carlsen won this match 7.5-3.5, making it the most lopsided victory since Capablanca defeated Lasker 9-5 in 1921.

Thank you for posting this! I experience almost the same feeling of my thought processes abruptly changing in form as I'm falling asleep. The few people I've talked to about this couldn't relate so I thought it was something specific to myself.

Even calculating BB(30) exhaustively would require more energy than we have in the observable universe. The fact that functions like BB() have actual, finite values, but that they're unknowable both due to our physical and logical limitations, is humbling in an ineffable way.

Note that this bound has since been improved to 748 [1] and you can actually view and run this 748 state turing machine here [2]. This comment on reddit [3] is a good attempt at condensing all the information down and explaining why this means proving the value of BB(748) is independent from ZFC.

[1] https://scottaaronson.blog/?p=4916

[2] https://turingmachinesimulator.com/shared/vgimygpuwi

[3] https://www.reddit.com/r/math/comments/gdfes1/a_turing_machi...

If you want to know how many servers I'd need for a task or to discuss memory/space tradeoffs, then ask those questions outright instead of doing this indirect dance. I don't see how the question gives you an advantage when you're being asked to take skills you use and apply them to domains you don't work in that are irrelevant for the job.

The skillset I have that allows me to accurately estimate software projects is based on my knowledge and experience in that domain, and just because I can estimate there doesn't mean I can estimate tennis balls in a building, nor does being able to estimate tennis balls in a building give any indication of ability to estimate software projects.

Anyone that thinks there's some overlap between estimating software problems and estimating how many tennis balls would fit in the Empire State Building is not someone I'd want to work for.

The epilogue: "A few days after Erdos left, he telephoned to say that Ron Graham of AT&T explained to him the reasoning behind the answer and that now he understood. He proceeded to tell me the reasoning but I couldn’t fathom his explanation." -- Vazsonyi [1]

[1] https://web.archive.org/web/20140413131827/http://www.decisi...

An amazing resource that I referenced frequently as an undergrad math major.

There were many times where I'd be working on a proof and I'd find a pattern that could be expressed as an integer sequence, but I'd have no idea what the significance of the numbers was or if the pattern held infinitely.

Thanks to OEIS, it was trivial to plug the numbers I had into the site and discover the underlying logic with references for learning more.

My takeaway from it is if the problem requires money to solve, at least you are aware of the solution: money. It may be difficult or impossible to achieve that end, but at least you know it's the direction to go and can possibly make progress toward solving.

The worst kind of problem is one you can't see your way out of and no option seems to exist to escape it.

Another commenter stated it's Corner Café in New Providence [1]

[1] https://news.ycombinator.com/item?id=26739049

American tax code. I have become the de facto tax explainer in my circle, being able to provide explanations for taxes that apparently many of my friends' accountants are unable to elucidate for them.

I'm not sure exactly why it clicks for me so well, but I've found that even among those used to working with equally arcane processes/codebases, taxes still evade their comprehension.

You can earn Robux in game [1] [2].

[1] https://en.help.roblox.com/hc/en-us/articles/203313200-Ways-...

[2] https://developer.roblox.com/en-us/learn-roblox/monetization

> Some of the electric providers are paying customers to move to someone else on Monday.

I'm on a fixed rate plan and my provider just offered me $150 to change, but I had to do it by tomorrow and the rates available now aren't close to what I'm currently at.

We just had two brief blackouts (~15m and ~5m) over here in SW Fort Worth

WSB drives the sentiment, but there's not enough volume in retail trading to drive these kinds of moves. Institutional participants also see the writing on the wall re: the short squeeze and are positioning themselves to profit from it.

If you see an actual institution spreading misinformation, report that institution to the SEC. If it's from someone hiding behind a keyboard and posting on reddit, ignore it, because no institution is buying based on the suggestions of WSB.

Because the short sellers are not operating in good faith. See this article [1] for more details.

[1] https://www.institutionalinvestor.com/article/b1pgz6k9kjs50v...

He started off with $50k, but the cost basis is $750k now because he's cashed out some of the position.

> I thought the Novikov conjecture postulated that time-travel would change nothing at all

Not exactly, from the wiki article:

> The simplest way to impose the principle of self-consistency in quantum mechanics (in a classical space-time) is by a sum-over-histories formulation in which one includes all those, and only those, histories that are self-consistent.

So it is possible to change the past, but only in ways that are self-consistent and don't give rise to paradoxes.

Regarding the ramifications for free will:

> Novikov supports this point of view with another argument: physics already restricts your free will every day. You may will yourself to fly or to walk through a concrete wall, but gravity and condensed-matter physics dictate that you cannot. Why, Novikov asks, is the consistency restriction placed on a time traveler any different?

Sounds like they're describing the Novikov self-consistency principle [1] in a roundabout way.

[1] https://en.wikipedia.org/wiki/Novikov_self-consistency_princ...

My reading of the phrase is that it's a colloquial way to refer to groups of large multigenerational extended families.

> But the only legitimate use of a flash loan is to do some arbitrage - and there’s plenty of that in existing financial systems.

There are two main differences:

1) The atomic nature of a flash loan makes flash loan arbitrage much less risky than performing arbitrage traditionally. Doing the same type of arbitrage non-atomically may mean that you miss the arbitrage opportunity, resulting in a loss from having to pay back the loan you took out plus interest without having made any money with it.

2) Because the debt must be repaid in the same transaction, the loan is uncollateralized. As far as I know, one cannot borrow millions of dollars in the traditional financial system without putting up some kind of collateral.

> What a sensible attacker should do is: 1) watch for flash loan transactions to be submitted by someone, then 2) quickly submit a duplicate transaction with a larger fee, but change the destination wallets to your own.

This has been observed on the blockchain in practice. The paper I linked to describes the mechanics of how this plays out and what strategies competing arbitrageurs use to win these opportunities.

KeeperDAO [1] is one project that's aiming to tackle this. Their whitepaper is here [2].

[1] https://keeperdao.com/

[2] https://github.com/keeperdao/whitepaper/blob/main/whitepaper...

Maker had to do a similar two-phase mitigation after a flash loan was used to borrow enough MKR token to change the result of a governance vote. [1]

[1] https://forum.makerdao.com/t/urgent-flash-loans-and-securing...

This article [1] does a deep dive into how flash loan mechanics are structured using an actual Ethereum transaction as an example. This particular flash loan used dYdX, Uniswap, Aave, and Curve.fi.

Because of the atomicity of the transaction, there's no way to default on the loan. If you can't pay it back, you're never loaned the money in the first place.

[1] https://medium.com/@kentmakishima/the-43k-defi-magic-trick-f...

The Flash Boys 2.0 paper I linked to in my original comment provides some detail as to how these opportunities are identified and exploited by competing arbitrageurs.

Flash loans are a great example of how blockchains enable new types of financial transactions that either aren't possible or are very difficult to do in a traditional financial setting.

If you identify an arbitrage opportunity in the market, you can atomically borrow a large sum of money to take advantage of the price difference. You also have the added assurance that if the arbitrage opportunity goes away before you can take advantage of it, the entire transaction fails and you only lose the Ethereum transaction fee. It's essentially risk-free arbitrage.

This paper [1] dives into detail about how these arbitrage mechanics play out on the blockchain, and how both arbitrageurs and miners manipulate transactions in order to make a profit.

[1] https://arxiv.org/abs/1904.05234

I run an IPv6 enabled exit node and sniff the traffic for research purposes. The vast majority of the traffic is end-to-end encrypted and what's not has not been particularly revealing or illegal.

Fortunately this is a discussion about the known present as opposed to the unknown future

Fortunately this is a discussion about a business curating their own platform as opposed to censorship by the government