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 three-pound organ in your skull - with its pink consistency of Jell-o - is an alien kind of computational material. It is composed of miniaturized, self-configuring parts, and it vastly outstrips anything we've dreamt of building.
Climate change is real. Climate change is being substantially increased by humans and the carbon we put into the atmosphere. And it appears to be speeding up. If science has made any mistakes, science has been underestimating it.
This [climate change] is potentially so dangerous that we have to act strongly. Do we want to play Russian roulette with two bullets or one?
Astronauts are not superhuman. They lead ordinary lives and have varied personalities.
You'll often hear the phrase "science doesn't know everything." Well, of course it doesn't know everything. But just because science doesn't know everything doesn't mean that it knows nothing.
Science is the search for the truth--it is not a game in which one tries to beat his opponent, to do harm to others. We need to have the spirit of science in international affairs, to make the conduct of international affairs the effort to find the right solution, the just solution of international problems, and not an effort by each nation to get the better of other nations, to do harm to them when it is possible. I believe in morality, in justice, in humanitarianism.
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