A Quote by David Hilbert

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.
The question you raise, 'How can such a formulation lead to computations?' doesn't bother me in the least! Throughout my whole life as a mathematician, the possibility of making explicit, elegant computations has always come out by itself, as a byproduct of a thorough conceptual understanding of what was going on. Thus I never bothered about whether what would come out would be suitable for this or that, but just tried to understand - and it always turned out that understanding was all that mattered.
Keep computations to the lowest level of the multiplication table.
Computations are everywhere, once you begin to look at things in a certain way.
I don't believe in original melodies. There are only so many computations of eight notes.
No sociologist should think himself too good, even in his old age, to make tens of thousands of quite trivial computations in his head and perhaps for months at a time.
I have no great faith in political arithmetic, and I mean not to warrant the exactness of either of these computations.
The speed at which modern CPUs perform computations still blows my mind daily.
Proofs of the Euclidean [parallel] postulate can be developed to such an extent that apparently a mere trifle remains. But a careful analysis shows that in this seeming trifle lies the crux of the matter; usually it contains either the proposition that is being proved or a postulate equivalent to it.
My salary is converted to bitcoin, and taxes are taken out. You have to do all the tax computations in dollars because the IRS does not deal in bitcoins.
What I have tried to show is that the scientific attitude implies what I call the postulate of objectivity - that is to say, the fundamental postulate that there is no plan, that there is no intention in the universe.
The desire to economize time and mental effort in arithmetical computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
That which occasions so many mistakes in the computations of men, when they expect return for favors, is that the giver's pride and the receiver's cannot agree upon the value of the kindness done.
Fantastic truths perish slower... Sappho's moon will survive the moon of Armstrong. Different computations are necessary.
One of the things that I've been doing recently in my scientific research is to ask this question: Is the universe actually capable of performing things like digital computations?
There is no physical law precluding particles from being organised in ways that perform even more advanced computations than the arrangements of particles in human brains.
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