Slightly offtopic, but there are other Fields Medalists on youtube too, such as Richard E Borcherds. He has some very nice videos on number theory and abstract algebra.
I've been hearing American accents more and more in London over the past few years, especially over the past few months, so this lines up with my experiences.
A more rigourous approach was tried after WW2, when Americans feared the Soviets were edging ahead mathematically/scientifically. It was called "New Math" [0]. For an example of the type of textbook high school students were taught from, check out Dolciani's Modern Introductory Analysis (the 1960s and 1970s editions only; the later editions were dumbed down, especially when Dolciani died) [1], which starts with set theory, logic, field axioms, and proof writing techniques.
>The only thing that US bases in the EU are doing at the moment is contributing to the local economies.
Some US bases double as spy bases. For example in the UK, RAF Menwith Hill is an NSA spy base, and RAF Croughton is a CIA spy base. One bargaining chip Europe has is to oust these spy bases from their territory. This would obviously negatively impact the US' global intelligence efforts. In any case, I see little point in allowing a hostile nation have spy bases on one's land.
Love this game. It taught me to look for a move like g4.
Also it was probably not objectively the best move (and definitely not Spassky's best game) but Tim Krabbé made a list of 110 most fantastic moves ever played, and he put Spassky's 16...Nc6 against Averbakh as no. 1 (certainly an unorthodox choice):
I know this is a dumb question even before I ask but I cannot figure it out: why do only some of the games on chessgames.com end in a final move that is actually checkmate, while others don't? On this one for example the final move says "Black to move" and you can move them around to get to a checkmate yourself...did they just shake hands and not play the final couple moves out?
Yes, it is common for high level players to just shake hands and resign, when they know the position is lost and their opponents certainly will checkmate them
Unless your opponent has just executed such a brilliant set of moves that they deserve the satisfaction of actually finishing the sequence and delivering checkmate.
As others have mentioned, it is extremely rare for chess grandmasters to play until checkmate. In many cases, when the game is clearly lost, it can even be seen as disrespectful, and a waste of your opponent's time.
Very new to the game, so have mercy on me please, but can anyone explain what's going on with these 0-0-0 and 0-0 moves? I don't understand how or why two pieces can move simultaneously.
Most big cities in the UK have great clubs for all sorts of hobbies, and clubs are a great way to make friends. Do you like sports? Do you drink alcohol? Just wondering because pub culture is big here and it's an easy way to make friends.
https://www.youtube.com/@richarde.borcherds7998