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
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.
Interpretation
The quote reflects the deep connection between the author's work and their personal thoughts and experiences.
Carl Friedrich Gauss expresses a profound relationship between his work and his inner contemplations. He suggests that to praise his work is, in essence, to praise himself, as the ideas he presents are a direct reflection of his long-standing meditations over several decades. This highlights the significance of personal experience and introspection in the creation of knowledge and art.
In practice
During a lecture on the importance of personal reflection in academic work, this quote underscores the connection between the author's thoughts and their output.
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.
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.
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
You’re talking about Rwanda or Bangladesh, or Cambodia, or the Philippines. They’ve got democracy, according to Freedom House. But have you got a civilised life to lead? People want economic development first and foremost. The leaders may talk something else. You take a poll of any people. What is it they want? The right to write an editorial as you like? They want homes, medicine, jobs, schools.
You are made in the image of what you desire.
As the water shapes itself to the vessel that contains it, so a wise man adapts himself to circumstances.
When you have the choice between being right and being kind just choose kind.
Let fools the studious despise,_x000D_ _x000D_ There's nothing lost by being wise.
You only need a heart full of grace
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