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.
As, pricked out with less and greater lights, between the poles of the universe, the Milky Way so gleameth white as to set very sages questioning.
To come very near to a true theory, and to grasp its precise application, are two different things, as the history of science teaches us. Everything of importance has been said before by someone who did not discover it.
It is shameful that there are so few women in science. [...] In China there are many, many women in physics. There is a misconception in America that women scientists are all dowdy spinsters. This is the fault of men. In Chinese society, a woman is valued for what she is, and men encourage her to accomplishments yet she remains eternally feminine.
Astronauts will remain the explorers, the pioneers-the first to go back to moon and on to Mars. But I think it's really important to make space space available to as many people as we can. It's going to be a while before we can launch people for less than $20 million a ticket. But that day is coming.
The intelligent beings in these regions should therefore not be surprised if they observe that their locality in the universe satisfies the conditions that are necessary for their existence. It is a bit like a rich person living in a wealthy neighborhood not seeing any poverty.
In my Nobel lecture, I suggested we had until the year 2000 to tame the population monster, and then food shortages would take us under. Now I believe we have a little longer.
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