I want more rufus and doofus analysis like this. They make the type of mistakes I do, so I can benefit way more with Ben telling me why my moves sucks than to pretend to understand some super GM level analysis.
The cardinality of an infinity basically deals with mapping elements from one set to the other. If you can write out a mapping from one infinite set to another, they are the same "size". So for whole numbers and even numbers, you basically map 0 to 0 (0 is even), 1 to 2, 2 to 4, 3 to 6, ... This shows the "size" of their infinities are the same. An interval on the real number line, on the other hand, has no mapping between whole numbers and every possible real. You can spend up all your mappings on just one tiny segment like 0 to 0.1, 1 to 0.01, 2 to 0.001, .... And you have the rest of that interval of real numbers between 0 and 1 remaining. That's not a formal proof of it, but it should get the general idea across. An common proof assumes a mapping does exist and then shows there is a contradiction -- the ability to construct a new real number definitely not in the assumed mapping, a contradiction proving that no such mapping exists.
@@ethanandrews3076 Irrational numbers go on forever... which makes it kind of hard to map one to a single integer since it would be more like an infinite number of digits that keeps getting bigger forever.
This game can't be real, it's not just absent minded blunders, f4 and rb1 are so fundamentally bad there and no 1800-1900s who would do those two moves in a row
I knew this one was going to be Fine-Gold content. This out did my expectations. I laughed with my girlfriend about f4. This literally made our mornings knowing we can never blunder irl that hard as the f4.
To be honest, at 8:24 I would have done a very stupid thing, but more practical: Qc2, with the idea of trading the Rooks for a Queen, then harassing the c-pawn, since we have two very mobile Rooks
I don’t think people realize what Ben does for the whole chess community. He doesn’t have to teach but it’s in his blood and something he loves to do. Which in turn makes you worse at chess.
If only life were just a series of book moves and brillliancies. Unfortunately it's mostly blunders, mistakes and inaccuracies, and cheating is way more prevalent than you thought! 🙃
Sorry Ben, there is no largest infinity. Just iterate the power set on the natural numbers. Though, I guess maybe you could claim the largest infinity is the class (not set) of all cardinals.
Integers and whole numbers are both things. Whole numbers start at 0 and increase by 1 to infinity (0, 1, 2, 3, ...). Integers include the negative numbers as well. And yes, there are as many even whole numbers as there are integers. There are even as many powers of some arbitrarily large number (not zero or one) as there are integers. Aren't homomorphisms great?
This right here... is prime Ben Finegold content. Bravo!
He made bad choices in life because he had to discuss this game. 😂
Ben was so angry the F4 key on my piano felt bad
TIL the five stages of grief are denial, anger, anger again, depression, and even more anger.
The truth hurts
OMG I could listen to Ben for hours ranting about f4.
He's hilarious 😂
What happens when you get to the gates of heaven and St. Peter asks "Why did you play f4?"
Gambit your soul and say it was a mouse slip
Get better at chess just so you know how bad f4 is. 😂
This analysis almost made me crack open of laughter.
6:05 This is where the epic F4 rant starts
But if you could play f4 to f2 it wouldn't be so bad. 😂
If you play f4 the pawn should capture itself out of shame.
Came for the chess stayed for the cardinality lecture.
Alpha Zero to aleph zero
I can imagine myself making a move like f4, watching this, and crying and laughing at the same time as I'm roasted into infinite chess oblivion.
Ironic that Ben (sort of) references Cantor’s diagonal argument in a position with no bishops.
I want more rufus and doofus analysis like this. They make the type of mistakes I do, so I can benefit way more with Ben telling me why my moves sucks than to pretend to understand some super GM level analysis.
I forgot, what was the move not to do here that weakens a king? F-something?
The sixth stage of grief...Banned!
When aleph naught is not big enough to express your disappointment.
BRUTAL commentary! 😂
"How is this guy 1947 its not even lichess" 💀💀
I love Ben's discussion of the cardinalities of different infinities. Very impressed he's familiar with some higher mathematics!
The cardinality of an infinity basically deals with mapping elements from one set to the other. If you can write out a mapping from one infinite set to another, they are the same "size". So for whole numbers and even numbers, you basically map 0 to 0 (0 is even), 1 to 2, 2 to 4, 3 to 6, ... This shows the "size" of their infinities are the same. An interval on the real number line, on the other hand, has no mapping between whole numbers and every possible real. You can spend up all your mappings on just one tiny segment like 0 to 0.1, 1 to 0.01, 2 to 0.001, .... And you have the rest of that interval of real numbers between 0 and 1 remaining. That's not a formal proof of it, but it should get the general idea across. An common proof assumes a mapping does exist and then shows there is a contradiction -- the ability to construct a new real number definitely not in the assumed mapping, a contradiction proving that no such mapping exists.
@@ethanandrews3076 What integer maps to 1?
@@ethanandrews3076 And what finite integer maps to irrational, real numbers like pi?
@@ethanandrews3076 Irrational numbers go on forever... which makes it kind of hard to map one to a single integer since it would be more like an infinite number of digits that keeps getting bigger forever.
@@ethanandrews3076 "There’s actually the same number of numbers between 0 and 1 as there are integers". Incorrect. You are forgetting the irrationals
@@pmcate2No he's not.
I really appreciate this style of Ben Finegold content - slightly less acerbic, and teaching more
This is peak content (and I didnt think f4 was that bad at first 😂). Thanks for that.
Of all the places, I didn't expect to see lecture on infinite series from Ben xD
That was hilarious! I was laughing the entire time
me too xD but then i started thinking about what he would say if he saw my games xD
I want to give this video an infinite sequence of upvotes that is slightly longer than the sequence of question marks given to f4
i concur with your analysis
This game can't be real, it's not just absent minded blunders, f4 and rb1 are so fundamentally bad there and no 1800-1900s who would do those two moves in a row
I knew this one was going to be Fine-Gold content. This out did my expectations. I laughed with my girlfriend about f4. This literally made our mornings knowing we can never blunder irl that hard as the f4.
The_legendary_f4_game____generations_from_now_will_remember_this_day
6:06 🤣
Ben is why i started playing
To be honest, at 8:24 I would have done a very stupid thing, but more practical: Qc2, with the idea of trading the Rooks for a Queen, then harassing the c-pawn, since we have two very mobile Rooks
“Get much better at chess.” On it.
Reminds me of the video of Nigel Short at Atlanta. If I was good, I'd remember what that move was.
Ben would be a great cheerleader for paralympics.
f4? might as well be alt-f4
not a mac user I see 😅
Alright Ben. I'm 850. I'll try to reach at least 1500 by the end of the year so I can better understand how bad F4 is.
Man, the truth hurts
Ben on fire - he's back!!!!
I don’t think people realize what Ben does for the whole chess community. He doesn’t have to teach but it’s in his blood and something he loves to do. Which in turn makes you worse at chess.
C4. That’s explosive.
05:23 did not mentioned the obvious checkmate in 2 with the rooks.
It's funny cause there is no mate
The thumbnail and the title of the video is killing me 😂
That ending I’m dead
Never play f4 I guess 🤷♂️
I'm imagining Dzindzi's reaction
If only life were just a series of book moves and brillliancies. Unfortunately it's mostly blunders, mistakes and inaccuracies, and cheating is way more prevalent than you thought! 🙃
Sorry Ben, there is no largest infinity. Just iterate the power set on the natural numbers. Though, I guess maybe you could claim the largest infinity is the class (not set) of all cardinals.
Endless entertainment
I laughed pretty hard when he told us all to get much better just to understand how bad f4 was. Lol. I wish man.
an infinity of which no infinity is larger!
Infinity and beyond
What about Q h3 after f4?
I lost about 3.5 million brain cells after seeing f4😪
the f4 meme is upon us
How bad is F4 compared to F8?
I'm starting to get the feeling that F4 is a bad move.
Dang F4 is one of my go too’s
You know this guy sent in his game wanting to flex his win and it turned out to be the worst game ever played
alt+f4 would have been a better move
God DAMN f4
Maybe someone sent this game to Fischer. That would explain a lot.
1) rraaawr
2) terrible
3) the truth hurts
4) cry like a gradmaster
5) the lesson is, never try
Man that thumbnail is amazin😂
Great thumbnail and content as always, obviously, Frankly!
I saw these players have very respectable ratings so it’s funny to think they could make Ben go through the stages of grief 😂
F4 was truely disgusting. But at least it looks a tiny bit better than f3.
Did you photoshop their ratings just for kicks easter egg?
ben is so funny XD
Integers and whole numbers are both things. Whole numbers start at 0 and increase by 1 to infinity (0, 1, 2, 3, ...). Integers include the negative numbers as well. And yes, there are as many even whole numbers as there are integers. There are even as many powers of some arbitrarily large number (not zero or one) as there are integers. Aren't homomorphisms great?
I blame Ben, never play f3
IGMATHBOV literally played a game today July 6th, 2024 where as black he plays F5
I also wouldn't send Ben a blitz game with nonsense moves made under time pressure.
stop, he's already dead
F4 gives me hope, I can do better than that. 😂😂😂
The F4 show 😅
f4 is sooo bad it’s worse than f3
I will get better at chess, promise 😂
12:15 "Qeen H1 also ends?"
Ayo wassup Big Breen? Dats such a Big Breen qestion.
I actually thought f4 was good frankly terrible
Stop drinking into your microphone... be professional man..
First