Eureka! Eureka!_x000D_ _x000D_ Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displacement to solve a problem about the purity of a gold crown.
ArchimedesRead
I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.
Interpretation
Archimedes expresses the significance of a new method in mathematics for calculating the volume of a sphere.
In this quote, Archimedes reflects on the potential impact of his method for determining the volume of a sphere, emphasizing that it will not only aid current mathematicians but will also inspire future generations to uncover new theorems and discoveries. He acknowledges the collaborative and progressive nature of scientific inquiry, where one advancement can pave the way for countless others.
In practice
During a lecture on the importance of mathematical innovations, this quote can be used to highlight the impact of new methods.
Eureka! Eureka!_x000D_ _x000D_ Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displacement to solve a problem about the purity of a gold crown.
Rise above oneself and grasp the world.
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
Give me a place to stand, and a lever long enough, and I will move the world.
There are things which seem incredible to most men who have not studied Mathematics.
Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.
[Marijuana] doesn't have a high potential for abuse, and there are very legitimate medical applications. In fact, sometimes marijuana is the only thing that works... [I]t is irresponsible not to provide the best care we can as a medical community, care that could involve marijuana. We have been terribly and systematically misled for nearly 70 years in the United States, and I apologize for my own role in that.
Artificial selection turned the wolf into the shepherd, and the wild grasses into wheat and corn. In fact, almost every plant and animal that we eat today was bred from a wild, less edible ancestor. If artificial selection can work such profound changes in only ten or fifteen thousand years, what can natural selection do operating over billions of years? The answer is all the beauty and diversity of life.
As was predicted at the beginning of the Human Genome Project, getting the sequence will be the easy part as only technical issues are involved. The hard part will be finding out what it means, because this poses intellectual problems of how to understand the participation of the genes in the functions of living cells.
There does not exist a category of science to which one can give the name applied science. There are science and the applications of science, bound together as the fruit of the tree which bears it.
Economics is not an exact science. It's a combination of an art and elements of science. And that's almost the first and last lesson to be learned about economics: that in my judgment, we are not converging toward exactitude, but we're improving our data bases and our ways of reasoning about them.
The Planck satellite may detect the imprint of the gravitational waves predicted by inflation. This would be quantum gravity written across the sky.
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