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.
On a per capita basis, Britain is responsible for more of the carbon dioxide now in the atmosphere than any other nation on Earth because it has been burning it from the dawn of the Industrial Revolution.
Ever since Newton, we've done science by taking things apart to see how they work. What the computer enables us to do is to put things together to see how they work: we're now synthesized rather than analysed. I find one of the most enthralling aspects of computers is limitless communication.
When I had satisfied myself that no star of that kind had ever shone before, I was led into such perplexity by the unbelievability of the thing that I began to doubt the faith of my own eyes.
Water is the key to dealing with the twin challenges of poverty and growth.
A scientist who is also a human being cannot rest while knowledge which might be used to reduce suffering rests on the shelf.
I'm convinced that sending people to Mars is so expensive that if you go once and bring the people back and then go again and bring the people back, we're eventually going to run out of money. But what if we send people the first time and they don't come back? What if they stay there?
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