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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 Gauss Letter to Friedrich Wilhelm Bessel (1830)

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More quotes by Carl Friedrich Gauss

I have had my results for a long time: but I do not yet know how I am to arrive at them.

The Mind and the Eye (1954)

All the measurements in the world do not balance one theorem by which the science of eternal truths is actually advanced.

The study of Euler's works will remain the best school for the different fields of mathematics and nothing else can replace it.

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

But in our opinion truths of this kind should be drawn from notions rather than from notations.

About the proof of Wilson's theorem. Disquisitiones Arithmeticae (1801)

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