The art of doing mathematics consists in finding that special case which contains all the germs of generality.
David HilbertRead
If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.
Interpretation
The quote criticizes astrology as a foolish belief despite the wisdom of the world's most knowledgeable people.
David Hilbert suggests that even the collective intelligence of the wisest individuals would not identify anything more foolish than astrology. This statement reflects a strong skepticism regarding astrology, implying that it lacks scientific basis and rationality, and emphasizes the importance of relying on reason and evidence over superstition.
In practice
In a debate about the validity of astrology, this quote can be used to argue against superstition.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
Wir mussen wissen. Wir werden wissen. We must know. We will know. Inscribed on his tomb in Gilttingen.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
No one shall expel us from the paradise that Cantor has created for us.
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
I tell you, hopeless grief is passionless.
Long ago, Sir Isaac Newton gave us three laws of motion, which were the work of genius. But Sir Isaac's talents didn't extend to investing: He lost a bundle in the South Sea Bubble, explaining later, 'I can calculate the movement of the stars, but not the madness of men.' If he had not been traumatized by this loss, Sir Isaac might well have gone on to discover the Fourth Law of Motion: For investors as a whole, returns decrease as motion increases.
The most certain sign of wisdom is cheerfulness.
If you believe in truth and cared enough to obtain it, you had to be prepared actively to suffer for it.
It is not necessary that you leave the house. Remain at your table and listen. Do not even listen, only wait. Do not even wait, be wholly still and alone. The world will present itself to you for its unmasking, it can do no other, in ecstasy it will writhe at your feet.
One can never read too little of bad, or too much of good books: bad books are intellectual poison; they destroy the mind. In order to read what is good one must make it a condition never to read what is bad; for life is short, and both time and strength limited.
Subscribe for the occasional hand-picked quote. No noise.