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.
This new power, which has proved itself to be such a terrifying weapon of destruction, is harnessed for the first time for the common good of our community.
There is no energy crisis, only a crisis of ignorance.
When the problem [quantum chromodynamics] is finally solved, it will all be by imagination. Then there will be some big thing about the great way it was done. But it's simple -it will all be by imagination, and persistence.
We owe a lot to the Indians, who taught us how to count, without which no worthwhile scientific discovery could have been made.
I think of the brain as a computational device: It has a bunch of little components that perform calculations on some small aspect of the problem, and another part of the brain has to stitch it all together, like a tapestry or a quilt.
I profess to learn and to teach anatomy not from books but from dissections, not from the tenets of Philosophers but from the fabric of Nature.
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