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
Theory attracts practice as the magnet attracts iron.
Interpretation
Theoretical knowledge draws practical application, similar to how a magnet draws metal.
In this quote, Gauss expresses the idea that theoretical concepts have a compelling power to inspire and guide practical actions, just as a magnet naturally attracts iron. It highlights the intrinsic relationship between theory and practice, suggesting that well-founded theories can lead to tangible results and advancements in various fields, particularly in science and mathematics.
In practice
A professor might use this quote to emphasize the importance of applying theoretical knowledge in research.
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.
Scepticism is as important for a good journalist as it is for a good scientist.
The statistical probability that organic structures and the most precisely harmonized reactions that typify living organisms would be generated by accident, is zero.
We need to look at NASA, not as a handout, but as an investment.
I have harnessed the cosmic rays and caused them to operate a motive device.
The game I play is a very interesting one. It's imagination, in a tight straightjacket.
No one may have the guts to say this, but if we could make better human beings by knowing how to add genes, why shouldn't we?
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