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🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here... show more

Math, Inc.

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139,137 görüntüleme • 10 ay önce •via X (Twitter)

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Clint J. profil fotoğrafı

Clint J.10 ay önce

Vibe Math is real

Simon Frieder profil fotoğrafı

Simon Frieder10 ay önce

1/ Having a strong Lean engine is definitely a nice thing to have -- but there are limits to what is natural to do in Lean (or any formal systems). I'm reminded here of the nice example that Patrick Massot mentioned in his talk about the concept of ... limits in calculus [1] :) If you want to formalize all possible variants of each type of limit at a point of a function in a "naive" way, there are many definitions to state: of the limit at a point with the limit equaling a number, of the limit at a point with that point remove equaling infinity, etc. If you count them, it seems to amount to actually 256 (!) definitions (see the 45m30s mark of the video). There are two ways out of this: 1) In practice, no one gets taught all 256 definitions but rather one teaches the "abstract generator" behind the definition. 2) One abstract all these away by using ultrafilters, and then just teaches limits in the setting of ultrafilters. Both ways then also help to reduce the sprawling number of plumbing lemmas (like composition of two lemmas) that one otherwise would help to prove about limits (which are 4096 according to the video, which seems plausible). Both solutions are possible execute in Lean, but are awkward to perform. [1]

Ned Whitman profil fotoğrafı

Ned Whitman10 ay önce

Math is about discovery, and when I feel like I’m connecting topics from sources that are related that in itself feels like discovery

chier profil fotoğrafı

chier10 ay önce

He hasn't gotten over yet that his work isn't on par with Grigori Perelman's or Andrew Wiles. And it will never be. He is the clearest example that the IMO selects for moronic savants, not genius. He forgot about Godel, apparently.

chier profil fotoğrafı

chier10 ay önce

Send this to Terry Tao . He might learn something.

Richa Sharma profil fotoğrafı

Richa Sharma10 ay önce

Truly exciting! Congrats guys.

Aeminium profil fotoğrafı

Aeminium10 ay önce

@danielarpm

Startup25! profil fotoğrafı

Startup25!10 ay önce

don't we need to hire bright minds though?

David Richards profil fotoğrafı

David Richards10 ay önce

i dun like this guy, but y

OBIdient profil fotoğrafı

OBIdient10 ay önce

What then happens when we leave all the mathematics to computers to do?

DULA profil fotoğrafı

DULA10 ay önce

Finally, the greatest minds are beginning to realize the true potential of AI in math.

Everything is Art profil fotoğrafı

Everything is Art10 ay önce

Engineers see this as the way. The better the probability model, the better the prediction. Isn't that a major purpose of mathematics? ( I said a major purpose not the only purpose.)

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💎 Emily Riehl, renowned professor of mathematics at Johns Hopkins University: “Formalization has completely changed my view of what mathematics is. Actually most of that is because it acquainted me with a different approach to the foundations of mathematics.” Full conversation with Math, Inc.’s Jesse Michael Han and Jared Duker Lichtman soon.

💎 Emily Riehl, renowned professor of mathematics at Johns Hopkins University: “Formalization has completely changed my view of what mathematics is. Actually most of that is because it acquainted me with a different approach to the foundations of mathematics.” Full conversation with Math, Inc.’s Jesse Michael Han and Jared Duker Lichtman soon.

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🚨 FULL CONVERSATION Fields medalist Terry Tao sits down with Math Inc's Jesse Michael Han and Jared Duker Lichtman for a conversation on the future of mathematics. "I got convinced that this was the future of mathematics [...] It's a different style of writing proofs that actually is in some ways easier to read—harder to check by humans, but you see more clearly the inputs and outputs of a proof, which traditional writing often conceals [...] I think the definition of a mathematician will broaden."

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There comes a time When we heed a certain call When the world must come together as one There are people dying Oh, and it's time to lend a hand to life The greatest gift of all We can't go on Pretending day by day That someone, somewhere will soon make a change We are all a part of God's great big family And the truth, you know, love is all we need We are the world We are the children We are the ones who make a brighter day, so let's start giving There's a choice we're making We're saving our own lives It's true we'll make a better day, just you and me Well, send them your heart So they know that someone cares And their lives will be stronger and free As God has shown us by turning stone to bread And so we all must lend a helping hand We are the world We are the children We are the ones who make a brighter day, so let's start giving Oh, there's a choice we're making We're saving our own lives It's true we'll make a better day, just you and me When you're down and out, and there seems no hope at all But if you just believe, there's no way we can fall Well, well, well, well let us realize Oh, that a change can only come When we stand together as one (yeah, yeah, yeah, yeah) We are the world We are the children

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Fireside Prime

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💎 FULL CONVERSATION 💎 Renowned professor of mathematics Emily Riehl at Johns Hopkins University sits down with Math Inc's Jesse Michael Han and Jared Duker Lichtman for a conversation on the future of mathematics. “Formalization has completely changed my view of what mathematics is.” “It acquainted me with a different approach to the foundations of mathematics.” “It helps you think and speak more precisely, often at this dream stage where new ideas are being developed.” “This is what I think the future of mathematics could be.” Watch the full video on YouTube:

💎 FULL CONVERSATION 💎 Renowned professor of mathematics Emily Riehl at Johns Hopkins University sits down with Math Inc's Jesse Michael Han and Jared Duker Lichtman for a conversation on the future of mathematics. “Formalization has completely changed my view of what mathematics is.” “It acquainted me with a different approach to the foundations of mathematics.” “It helps you think and speak more precisely, often at this dream stage where new ideas are being developed.” “This is what I think the future of mathematics could be.” Watch the full video on YouTube:

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💬: has there been a moment when a fan discovered something from your songs or your music videos that you never even discovered before? they gave it another meaning? 🦮: oh well i think if you're an ENHYPEN fan, if you're an ENGENE, you know that we have a lot of story behind all the things we do, and all the music videos we film. all the details, we really look into the details, we take care of the details. 🦮: so there are indeed a lot of hidden messages and hidden, but you know, they're hidden for a reason, so we can't really say the answer right here, right now, but.. in the future, there's going to be a lot of messages and all the little details that we want to put in and we want to make it into not just in the music videos, but in all of our content. so hope you guys look forward to it and just keep on, you know, guessing what it is

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We have just over two weeks to pass Prop 50. And when we do, it will send a message of hope across the country, that change is possible if we do the work. So, let’s get to it.

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🚨 NOW: Sen. Rick Scott demands the Senate STOP TAKING BREAKS and get reconciliation done for ICE and CBP "It depends on how HARD we want to work! I mean, if we stay here and do our JOBS, we'll get these things done!" "We've got to get the ICE and the Border Patrol done this week, so we can get that to the President's desk, make sure that's all funded, and we've got a lot of the things we've got to get done." "And we clearly are going to have to do a supplemental for the military with regard to the war in Iran, and there's other things we ought to do." "We've got to figure out how do we cut the cost of government. This reconciliation is a way to do that, and also fund the things we need to fund." "So I think we need to stay, as long as we have to do, stay here to get these things done."

Eric Daugherty

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"Every team wants to win a championship, but not every team wants to do the things required for a championship. And here's the thing: it's easy to be an average team. It doesn't require a lot. It's less adversity to be average in the world. The consequences of being average aren't easy. We end up wearing them. There's strain and struggle that comes with that too. The standard is just lower to be an average team. To be a championship team, to be champion, to be a championship team member here . . . I'm not gonna lie to you . . . I'm going to tell you the truth. It is harder. It is. The question is: Is it worth it? Some people say, "Oh it's not harder work." Yes it is. It's harder work. You can pursue comfort or you can pursue excellence. If we pursue comfort, we gotta give up some excellence. But if we pursue excellence, then we're just going to face more adversity. Everyone who's ever accomplished something excellence has had to overcome it. We are here today for a reason. Two reasons actually. Reason #1 is let's make sure that we identify and realize the opportunities that are in front of us. Reason #2 is let's make sure that we are preparing for the adversity that those opportunities require. And just understand: every single time you lever up your opportunities and you identify, "Oh there's something more I can do, more I can achieve. I can get better. I can earn more. I can do this." It's going to be matched with the adversity that comes with it. I want to make sure we are prepared for both of those, so that we're not chasing big opportunities and then getting mad when things start getting harder along the way. Is that fair? Does that make sense?"

"Every team wants to win a championship, but not every team wants to do the things required for a championship. And here's the thing: it's easy to be an average team. It doesn't require a lot. It's less adversity to be average in the world. The consequences of being average aren't easy. We end up wearing them. There's strain and struggle that comes with that too. The standard is just lower to be an average team. To be a championship team, to be champion, to be a championship team member here . . . I'm not gonna lie to you . . . I'm going to tell you the truth. It is harder. It is. The question is: Is it worth it? Some people say, "Oh it's not harder work." Yes it is. It's harder work. You can pursue comfort or you can pursue excellence. If we pursue comfort, we gotta give up some excellence. But if we pursue excellence, then we're just going to face more adversity. Everyone who's ever accomplished something excellence has had to overcome it. We are here today for a reason. Two reasons actually. Reason #1 is let's make sure that we identify and realize the opportunities that are in front of us. Reason #2 is let's make sure that we are preparing for the adversity that those opportunities require. And just understand: every single time you lever up your opportunities and you identify, "Oh there's something more I can do, more I can achieve. I can get better. I can earn more. I can do this." It's going to be matched with the adversity that comes with it. I want to make sure we are prepared for both of those, so that we're not chasing big opportunities and then getting mad when things start getting harder along the way. Is that fair? Does that make sense?"

Brian Kight

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"Vietnam has closed 86 million bank accounts... because they refused... the digital ID." "You had to register a digital ID with biometric data... And if you don't do it, we'll take your money, whether you like it or not." "It's coming here. They're pushing for digital IDs." "We had it during Covid. Oh, just get one vaccination and you'll be fine. And then they took away your permissions... and said, no, actually, you need another one. And then another one." "The more we give away our freedom, our power, the more they'll take." "We are on the edge of a cliff... We have to show that we are not going to allow this or accept this. Because if we all stopped going to work, or we all stopped using our cards, they'd... listen to us rather quickly." "And that's a choice we still have at the moment. If cash disappears, that choice is gone forever." "And I wouldn't like to think of the world where we are controlled—where we can drive, where we can fly, what food we can eat—and the bank can choose whether to let you make that purchase or not. That's a dangerous road." "This isn't freedom. And we should resist it as much as we can... And at the moment, cash is the one thing that we still have a choice with." "This is scary Orwellian stuff... If we don't do something about it, it is going to be too late."

"Vietnam has closed 86 million bank accounts... because they refused... the digital ID." "You had to register a digital ID with biometric data... And if you don't do it, we'll take your money, whether you like it or not." "It's coming here. They're pushing for digital IDs." "We had it during Covid. Oh, just get one vaccination and you'll be fine. And then they took away your permissions... and said, no, actually, you need another one. And then another one." "The more we give away our freedom, our power, the more they'll take." "We are on the edge of a cliff... We have to show that we are not going to allow this or accept this. Because if we all stopped going to work, or we all stopped using our cards, they'd... listen to us rather quickly." "And that's a choice we still have at the moment. If cash disappears, that choice is gone forever." "And I wouldn't like to think of the world where we are controlled—where we can drive, where we can fly, what food we can eat—and the bank can choose whether to let you make that purchase or not. That's a dangerous road." "This isn't freedom. And we should resist it as much as we can... And at the moment, cash is the one thing that we still have a choice with." "This is scary Orwellian stuff... If we don't do something about it, it is going to be too late."

Wide Awake Media

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🇮🇱🇺🇸🇮🇷🇰🇼⚡️– A Kuwaiti analyst: "We need to change the way we think how we can Influence Washington. We need to know that you cannot appease the zionists. Look at Jared Kushner, we know how much money he took from the Gulf with zero return and now the same countries are getting bombed, and they are trying to make it seem as if it is our duty to carry on the job that Israel wants to continue, which is a very crazy idea to begin with."

🇮🇱🇺🇸🇮🇷🇰🇼⚡️– A Kuwaiti analyst: "We need to change the way we think how we can Influence Washington. We need to know that you cannot appease the zionists. Look at Jared Kushner, we know how much money he took from the Gulf with zero return and now the same countries are getting bombed, and they are trying to make it seem as if it is our duty to carry on the job that Israel wants to continue, which is a very crazy idea to begin with."

MonitorX

126,902 görüntüleme • 7 ay önce

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🚨 BREAKING: President Trump says the Senate MUST pass the SAVE America Act or Democrats will keep the endless cheating going "The only ones that fight it are the Democrat leaders because they want to CHEAT. The only reason you say, and it's the only reason, 'I don't want voter identification with a picture.' I always add with a picture, it's true." "And the only reason you don't want that is because you want to cheat and they do cheat and we can't let them get away with it!" "So we have to keep that fight going. We have to get voter ID and we have to get proof of citizenship." "It's so important. It's one of the most important things we can do." 🇺🇸

Eric Daugherty

23,313 görüntüleme • 7 ay önce

Incredible last few minutes of the Rick Rubin / Adam Neumann interview. I got chills listening to this. --- Adam: We'll connected to this week's portion. We all have something that we're slaves to. We all have an addiction to anger, to ego, to power, whatever it is, idol worship that we have. We all have an Egypt. We all need to leave that Egypt, come out of it. When we come out of that Egypt, we all face a Red Sea. When we see that Red Sea, we all need to have the courage to walk into it so far that we drown. Only when we're willing to drown will the Red Sea be split and we'll go to our next level. We then go to our next level. We see the Red Sea split. Suddenly we're like, oh, everything is okay. And we forget. The moment we forget, we step into the desert. We all have to walk through our version of desert. That desert is between us, us, and God. No one else. The only decision we get to have is how long we're going to journey through that desert. Are we going to journey for 14 days like the children of Israel were supposed to? Or are we going to journey for 40 years because we're not learning our lesson? Our choice is not, are we going to get into the desert or not? It's how long will we be in. And once we go out of that desert, we all have our version of the promised land. And if we have the courage to look inside, see our own correction, our own limitation, look at it clearly now and say, I see you, and I'm going to get over it. I'm going to learn. I'm going to grow. I'm going to understand that life is not about falling down. It's about how I'm going to get up. I'm going to fall 1,000 times so I can get up 1,001 times. And in that last time when I get up and I'm actually ready to go to my next level, I'm going to wish for you, for me, and for everybody who are listening — please, may we have the courage to go to our next level because we know that the promised land is waiting right after it. And may we not be afraid when the whole world is saying this or that about us. Who cares? It's about what you think, what your wife thinks, what your kids think, and what the universe thinks. Rick: Amen. Adam: Amen. Thank you. Thank you, Hashem. Thank you.

Incredible last few minutes of the Rick Rubin / Adam Neumann interview. I got chills listening to this. --- Adam: We'll connected to this week's portion. We all have something that we're slaves to. We all have an addiction to anger, to ego, to power, whatever it is, idol worship that we have. We all have an Egypt. We all need to leave that Egypt, come out of it. When we come out of that Egypt, we all face a Red Sea. When we see that Red Sea, we all need to have the courage to walk into it so far that we drown. Only when we're willing to drown will the Red Sea be split and we'll go to our next level. We then go to our next level. We see the Red Sea split. Suddenly we're like, oh, everything is okay. And we forget. The moment we forget, we step into the desert. We all have to walk through our version of desert. That desert is between us, us, and God. No one else. The only decision we get to have is how long we're going to journey through that desert. Are we going to journey for 14 days like the children of Israel were supposed to? Or are we going to journey for 40 years because we're not learning our lesson? Our choice is not, are we going to get into the desert or not? It's how long will we be in. And once we go out of that desert, we all have our version of the promised land. And if we have the courage to look inside, see our own correction, our own limitation, look at it clearly now and say, I see you, and I'm going to get over it. I'm going to learn. I'm going to grow. I'm going to understand that life is not about falling down. It's about how I'm going to get up. I'm going to fall 1,000 times so I can get up 1,001 times. And in that last time when I get up and I'm actually ready to go to my next level, I'm going to wish for you, for me, and for everybody who are listening — please, may we have the courage to go to our next level because we know that the promised land is waiting right after it. And may we not be afraid when the whole world is saying this or that about us. Who cares? It's about what you think, what your wife thinks, what your kids think, and what the universe thinks. Rick: Amen. Adam: Amen. Thank you. Thank you, Hashem. Thank you.

Jared Zoneraich

155,255 görüntüleme • 7 ay önce

🗣️ Mikel Arteta on if he would reconsider the warm-downs: "The temptation is now we don’t want to take that risk, and we’ll do something else, but we were going to do that anyway the next day. "When you play these kind of small-sided games, there is contact, and these things happen. They didn’t happen once last season and we did it 37 times I think, so the fact that it’s there, that people are watching and then they think it raises other doubts. "But now it’s very difficult to do. [The] question was if we had to do this again, the way we planned the seven days that we had in that period with the players that didn’t have enough load, would it have been the case? The answer is yes, and it’s a contact sport and this can happen. "What we can do is [say] “guys, they are so competitive, when we do that, please don’t touch each other too much,” to avoid these kind of things, so that’s it."

🗣️ Mikel Arteta on if he would reconsider the warm-downs: "The temptation is now we don’t want to take that risk, and we’ll do something else, but we were going to do that anyway the next day. "When you play these kind of small-sided games, there is contact, and these things happen. They didn’t happen once last season and we did it 37 times I think, so the fact that it’s there, that people are watching and then they think it raises other doubts. "But now it’s very difficult to do. [The] question was if we had to do this again, the way we planned the seven days that we had in that period with the players that didn’t have enough load, would it have been the case? The answer is yes, and it’s a contact sport and this can happen. "What we can do is [say] “guys, they are so competitive, when we do that, please don’t touch each other too much,” to avoid these kind of things, so that’s it."

Connor Humm

36,690 görüntüleme • 27 gün önce