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
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.
Interpretation
The quote reflects Archimedes' desire for recognition of his contributions to mathematics and his unique discoveries.
Archimedes was a brilliant mathematician and inventor, and this quote emphasizes his wishes for a lasting tribute that symbolizes his work—specifically, the relationship between geometric shapes. He sought not just personal acknowledgment but a reminder of the beauty and significance of math, hinting at the deeper meaning behind his discoveries and the contributions he made to science and humanity.
In practice
In a lecture on the history of mathematics, you might quote Archimedes to illustrate the importance of recognizing individual contributions.
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.
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.
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.
The history of science shows that theories are perishable. With every new truth that is revealed we get a better understanding of Nature and our conceptions and views are modified.
The history of acceptance of new theories frequently shows the following steps: At first the new idea is treated as pure nonsense, not worth looking at. Then comes a time when a multitude of contradictory objections are raised, such as: the new theory is too fancy, or merely a new terminology; it is not fruitful, or simply wrong. Finally a state is reached when everyone seems to claim that he had always followed this theory. This usually marks the last state before general acceptance.
To the extent that we even understand string theory, it may imply a massive number of possible different universes with different laws of physics in each universe, and there may be no way of distinguishing between them or saying why the laws of physics are the way they are. And if I can predict anything, then I haven't explained anything.
I suppose the one quality in an astronaut more powerful than any other is curiosity. They have to get some place nobody's ever been.
The cross pollination of disciplines is fundamental to truly revolutionary advances in our culture.
A lot of scientists hate writing. Most scientists love being in the lab and doing the work and when the work is done, they are finished.
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