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.
If Watson and I had not discovered the [DNA] structure, instead of being revealed with a flourish it would have trickled out and that its impact would have been far less. For this sort of reason Stent had argued that a scientific discovery is more akin to a work of art than is generally admitted. Style, he argues, is as important as content. I am not completely convinced by this argument, at least in this case.
The scientist who yields anything to theology, however slight, is yielding to ignorance and false pretenses, and as certainly as if he granted that a horse-hair put into a bottle of water will turn into a snake.
That we can now think of no mechanism for astrology is relevant but unconvincing. No mechanism was known, for example, for continental drift when it was proposed by Wegener. Nevertheless, we see that Wegener was right, and those who objected on the grounds of unavailable mechanism were wrong.
At the heart of quantum mechanics is a rule that sometimes governs politicians or CEOs-as long as no one is watching, anything goes.
The real reason why general relativity is widely accepted is because it made predictions that were borne out by experimental observations.
All crises begin with the blurring of a paradigm and the consequent loosening of the rules for normal research. .. Or finally, the case that will most concern us here, a crisis may end with the emergence of a new candidate for paradigm and with the ensuing battle over its acceptance.
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