We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
Carl Friedrich GaussRead
It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.
Interpretation
Studying the theory of numbers evokes a strong passion in those who delve into it.
Carl Friedrich Gauss emphasizes the deep connection and passion that individuals tend to develop for the study of numbers and mathematical theories. This suggests that engaging with complex scientific material can transform into a profound affection, illustrating the beauty and allure of mathematics.
In practice
This quote could be shared during a mathematics conference to inspire students.
We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
I protest against the use of infinite magnitude ..., which is never permissible in mathematics.
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
Life stands before me like an eternal spring with new and brilliant clothes.
The study and knowledge of the universe would somehow be lame and defective were no practical results to follow.
That's not right. That's not even wrong.
There may have been many big bangs, one of which created our universe. The other bangs created other universes.
As in biomedical science, pioneering industrial inventions have not been mothered by necessity. Rather, inventions for which there was no commercial use only later became the commercial airplanes, xerography and lasers on which modern society depends.
A strong feeling of adventure is animating those who are working on bacterial viruses, a feeling that they have a small part in the great drive towards a fundamental problem in biology.
Climate change is the 800-pound gorilla in the living room that the media dances around. But in the scientific community, it's a settled question: 95 percent of scientists believe this is happening with 100 percent confidence temperatures are rising.
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