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| Personal Effectiveness Goals, productivity, time management, motivation, self-discipline, overcoming procrastination, habits, organizing, problem-solving, decision-making, intelligence |
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| | #31 (permalink) | ||
| Family Member Join Date: Nov 2006 Location: Berlin, Germany
Posts: 8,749
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There's however the different ability of being able to find your own way to solve a problem. That way requires understanding. In the end computers can do the work of taking a predefined way to solve a problem a lot better than humans. The ability that computers lack is that they aren't able to come up with their own way of solving new problems. Part of the ability of being a good mathematican is to develop proofs on your own when you just have definition of axioms and theorems. Quote:
Either your professor did the proof during the course do the prove yourself in the exam. It not just about finding the right answer but also about proving that the answer is right. | ||
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| | #32 (permalink) | |
| Senior Member Join Date: Aug 2008 Location: New Milford, CT
Posts: 450
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| | #33 (permalink) |
| Banned Join Date: Mar 2009 Location: USA
Posts: 141
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Dude Andrew if you want to learn everything there is to possibly know about mathematics ('bleedin everything about sod all' you could say in England) you should begin by calculating how many hours that would take, and how that would affect the rest of your life. Not having done the math myself, I'm guessing it's over 8 hours a day. Do you really want to cut that much out of the rest of your life? But hey, more power to you, better than memorizing bible verses for that amount of time. |
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| | #36 (permalink) |
| Senior Member Join Date: Nov 2006 Location: Vienna, Austria
Posts: 244
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I think you will need to specialize at one point or another. There are people who devote a lifetime to one area of mathematics. Of course this specialization happens after they acquired a very good general understanding of all fields.
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| | #37 (permalink) | |
| Family Member Join Date: Nov 2006 Location: Berlin, Germany
Posts: 8,749
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That one of the reason why college is good because you have a teacher who will tell you when you have made an error somewhere. Often multiple right ways to solve a problem and the goal is to find one of them. That what mathematicians are for: Finding ways to solve mathematical problems of other people (well sometimes the other people are mathematicians as well When a mathematican produces a forumla a chemist might use that formula in his work. Most chemists aren't good enough in math to create the mathematical toolkit that they use themselves. And when the mathematican proved that the formula works the chemist doesn't have to brother about the math and can concentrate himself on chemistry. The chemist can get away if he simply memorizes the forumlas. | |
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