A Quote by Henri Poincare
No more than these machines need the mathematician know what he does.
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Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be replaced by the "logic piano" imagined by Stanley Jevons; or, if you choose, a machine might be imagined where the assumptions were put in at one end, while the theorems came out at the other, like the legendary Chicago machine where the pigs go in alive and come out transformed into hams and sausages. No more than these machines need the mathematician know what he does.
A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover. A good mathematician eventually does so - and proves a theorem.
A lot of people talk about sometime around 2030, machines will be more powerful than the human brain, in terms of the raw number of computations they can do per second. But that seems completely irrelevant. We don't know how the brain is organized, how it does what it does.
Automation does not need to be our enemy. I think machines can make life easier for men, if men do not let the machines dominate them.
We don't need no more rappers, we don't need no more basketball players, no more football players. We need more thinkers. We need more scientists. We need more managers. We need more mathematicians. We need more teachers. We need more people who care; you know what I'm saying? We need more women, mothers, fathers, we need more of that, we don't need any more entertainers
Machines already are much smarter than us at so many things. I mean, try to multiply two 10-digit numbers with each other or, you know, sift through a thousand documents. So there's lots of things that machines are better at including in mental task than us. There's many more that they're not as good at, but the direction is pretty obvious and the progress is clear.
I think the Invictus Games is something the world needs to know more about. What it does for the competitors and what it does for the families and what it does for the wounded warriors and their support system is nothing short of phenomenal. More people need to know about it.
The Miccosukee facility in Miami only offers bingo, poker, and video gambling machines. Because it does not have slot machines or table games, the Miccosukee tribe doesn't need an agreement with the state. The Miccosukees only answer to the federal government.
Although humans today remain more capable than machines for many tasks, by 2030 machine capabilities will have increased to the point that humans will have become the weakest component in a wide array of systems and processes. Humans and machines will need to become far more closely coupled, through improved human-machine interfaces and by direct augmentation of human performance
In my opinion a mathematician, in so far as he is a mathematician, need not preoccupy himself with philosophy-an opinion, moreover, which has been expressed by many philosophers.
Neither you nor I nor anybody else knows what makes a mathematician tick. It is not a question of cleverness. I know many mathematicians who are far abler than I am, but they have not been so lucky. An illustration may be given by considering two miners. One may be an expert geologist, but he does not find the golden nuggets that the ignorant miner does.
Who is more amateurish, more vulnerable---those who rely on machines that need to be plugged in, or logged on, or in some other way connected in order to be more than a useless slab of plastic ... or those who have learned to master life without?
The desire to explore thus marks out the mathematician. This is one of the forces making for the growth of mathematics. The mathematician enjoys what he already knows; he is eager for more knowledge.
He who has got more than that is required to fulfill his basic need spends his resources, more often than not, on the people and the products that he does not actually need.
I think you can fan the flames, but I think in the same way that a mathematician is a mathematician - He's not taught to be a mathematician. He either has a feeling for equations and an understanding and delight in it, not only in the purity of it, but in its beauty as well.
No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. ... Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. There have been men who have done great work later; ... [but] I do not know of a single instance of a major mathematical advance initiated by a man past fifty. ... A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas.
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