A Quote by Alexander Grothendieck
The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand - and it always turned out that understanding was all that mattered.
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I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.
It is the duty of the human understanding to understand that there are things which it cannot understand, and what those things are. Human understanding has vulgarly occupied itself with nothing but understanding, but if it would only take the trouble to understand itself at the same time it would simply have to posit the paradox.
I've no idea where ideas come from and I hope I never find out; it would spoil the excitement for me if it turned out I just have a funny little wrinkle on the surface of my brain which makes me think about invisible train platforms.
My book would come out in one language, then it would come out in another language, then it would come out in One City, One Read, and I was always being called away from my desk.
I found that pedals were too much to fool around with. You'd be halfway through a solo, and the batteries would go dead and conk out. And if you tread on the lead going to the pedal, something would always go wrong. Or some crazy kid would pull the lead out just at the moment when you're about to do your big number on it.
One of the greatest things that ever taught me a super lesson was when I seen a baby come out of my woman's womb. Seeing this war that could end with both lives being lost, or both lives being made, gave me an enlightenment of life itself. It sparked my whole mind to a whole other level of living. And if I never would have seen it, I never would have understood life. I never would have appreciated life.
The problem, of course, was that people did not seem to understand the difference between right and wrong. They needed to be reminded about this, because if you left it to them to work out for themselves, they would never bother. They would just find out what was best for them, and then they would call that the right thing. That's how most people thought.
It's just about going out and getting the shot, so I have a great understanding of how to execute it, so that really helps me, and also having a good understanding of all the action that I'm shooting, it helps me in determining how I'm going to capture it.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
I've dedicated a lot of my life as a writer to understanding how to hear the divine voice, or the music of the spheres, or whatever it is that we do when we're making art, making something out of nothing. Figuring out how to do that is much more important than knowing how to execute a good line. I don't think about that anymore, I just write.
Well that's a bit of a question like saying, what have you learned in life that would help you lead? My whole life has been learning to lead, from my parents, to my education, to the experience I had in the private sector, to helping run the Olympics, and then of course helping guide a state. Those experiences in totality have given me an understanding of how America works and how the economy works.
I didn't get recognized a whole lot at first, but all of a sudden it just started happening. People would look at me out of the corner of their eye, deciding whether or not they were going to come up to me!
I was always really shy. That's why being in front of cameras like this is uncomfortable. I found that when I was a kid, I would hide behind playing pretend. That's when I would come out of my shell. I would dress up as an old man or something and go out onto the street with my mom. I would come out of my shell that way. So I ended up stumbling into acting. It was the one thing that I found a passion for.
Believe things will work out. How was I ever to know that the girl who broke my heart in university would lead to my soulmate? How was I to know that the ‘dream job’ I was rejected from out of college would lead me to a year of entrepreneurship and adventure in Spain? How was I to know that taking a miserable job back in the states would be just the push I needed to vow to never do something I wasn’t passionate about again? Everything works out. I mean everything. As long as you believe it will. When you do, you will find the silver lining. That will take you to the next level.
You can never underestimate the prince, I'm always there. The prince will never die. I ain't bragging, but I ain't seen nobody, and I mean nobody, come to the ring in such style, with such flair, charisma, I'm talking about bringing it all, a full package. I mean who would you know that could come out in a flying carpet. Come out like a concert, dancing, with like, oozing confidence, and then get in and take somebody out. Come on, do you know anybody in the history of the sport, that did what Prince Naseem did. And I ain't trying to brag, but I was bloody good at it.
You know, this dialogue is only helpful when we come, both of us, to a point where we realize that no dialogue is possible, that no dialogue is necessary. When I say understanding or seeing, they mean something different to me. Understanding is a state of being where the question isn't there any more. There is nothing there that says, "Now I understand!" That's the basic difficulty between us. By understanding what I am saying, you are not going to get anywhere.
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