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 have had my results for a long time: but I do not yet know how I am to arrive at them.
Interpretation
What this quote means
The quote reflects the struggle of understanding and navigating the process of achieving one's goals, despite having the outcomes in mind.
In this quote, Carl Friedrich Gauss expresses the dilemma of being aware of the results he aims to achieve, yet being uncertain about the path needed to reach those results. It captures the essence of planning, the importance of the journey, and the challenges inherent in the pursuit of knowledge and success. Even great thinkers can find themselves at a crossroads between their ambitions and the methods required to turn those ambitions into reality.
Themes
In practice
Example use cases
This quote can be shared during a motivational speech to emphasize perseverance in reaching goals.
More from Carl Friedrich Gauss
All quotes βI 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.
Similar quotes
If you go into science, I think you better go in with a dream that maybe you, too, will get a Nobel Prize. It's not that I went in and I thought I was very bright and I was going to get one, but I'll confess, you know, I knew what it was.
Science is not formal logic-it needs the free play of the mind in as great a degree as any other creative art. It is true that this is a gift which can hardly be taught, but its growth can be encouraged in those who already posses it.
Almost any questions can be answered,cheaply, quickly and finally, by a test campaign. And that's he way to answer them - not by arguments around a table
Our best theories are not only truer than common sense, they make more sense than common sense...
Indeed, the whole human species is endangered, by nuclear weapons or by other means of wholesale destruction which further advances in science are likely to produce.
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