A Quote by John von Neumann
The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert.
Related Quotes
Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off to become a poet. Hilbert is reported to have remarked: 'I never thought he had enough imagination to be a mathematician.'
But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.
I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space any more.
No mathematician of equal stature has risen from our generation... Hilbert was singularly free from national and racial prejudices; in all public questions, be they political, social or spiritual, he stood forever on the side of freedom.
If we except the great name of Newton (and the exception is one that the great Gauss himself would have been delighted to make) it is probable that no mathematician of any age or country has ever surpassed Gauss in the combination of an abundant fertility of invention with an absolute vigorousness in demonstration.
You're not sorry. You could've been here if you made the effort. But when did you ever make an effort for anybody but yourself? You're not interested in any of us or in anything we do. You think if you pay the bills, that's enough, don't you? Money! That's all you know. And all you give us is money. Have you even given us any time?
I was a mathematician by nature, and still am - I just knew I didn't want to be a mathematician. So I decided not to take any mathematics courses.
If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
"God", "immortality of the soul", "redemption", "beyond" - Without exception, concepts to which I have never devoted any attention, or time; not even as a child. Perhaps I have never been childlike enough for them?
I do not by any means know atheism as a result; even less as an event: It is a matter of course with me, from instinct. I am too inquisitive, too questionable, too exuberant to stand for any gross answer. God is a gross answer, an indelicacy against us thinkers - at bottom merely a gross prohibition for us: you shall not think!
In Hilbert space no one can hear you scream.
Every being has its own interior, its self, its mystery, its numinous aspect. To deprive any being of this sacred quality is to disrupt the total order of the universe. Reverence will be total or it will not be at all. The universe does not come to us in pieces any more than a human individual stands before us with some part of his/her being.
Grammar, perfectly understood, enables us not only to express our meaning fully and clearly, but so to express it as to enable us to defy the ingenuity of man to give to our words any other meaning than that which we ourselves intend them to express.
By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.
I knew we would eventually get back together, but I don't think any of us really knew when it was going to happen. It had to be a situation where all four of us felt like it was time. It's just too personal and too big, with too much history, to do any other way.
Well I am certainly wiser than this man. It is only too likely that neither of us has any knowledge to boast of; but he thinks that he knows something which he does not know, whereas I am quite conscious of my ignorance. At any rate it seems that I am wiser than he is to this small extent, that I do not think that I know what I do not know.
People can be quite cynical. 'The Kills are too cool.' There's been an on-and-off relationship with the music press that loves us and then hates us then loves us again. I don't think any kind of press is reliable.
Related Authors
Ada Lovelace Quotes
English
Mathematician
Alfred North Whitehead Quotes
English
Mathematician
Benoit Mandelbrot Quotes
French
Mathematician
Carl Friedrich Gauss Quotes
German
Mathematician
Charles Babbage Quotes
English
Mathematician
David Hilbert Quotes
German
Mathematician
G. H. Hardy Quotes
British
Mathematician
George Polya Quotes
Hungarian
Mathematician
Hannah Fry Quotes
English
Mathematician
Henri Poincare Quotes
French
Mathematician
Isaac Barrow Quotes
English
Mathematician
Isaac Newton Quotes
English
Mathematician
Norbert Wiener Quotes
American
Mathematician
Pythagoras Quotes
Greek
Mathematician
Rene Descartes Quotes
French
Mathematician
Seymour Papert Quotes
American
Mathematician