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.
David HilbertRead
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
Interpretation
Mathematics is an interconnected discipline where all parts rely on each other for vitality.
David Hilbert emphasizes that mathematical science should not be viewed as a mere collection of separate topics, but rather as a cohesive organism. Each part of mathematics is interrelated, and the health of the entire mathematical framework is contingent on the connections and relationships between its various components.
In practice
In a lecture about the importance of mathematical education, you can use this quote to emphasize the cohesiveness of math as a discipline.
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.
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.
The most complex object in the known universe: brain, only uses 20 watts of power. It would require a nuclear power plant to energize a computer the size of a city block to mimic your brain, and your brain does it with just 20 watts. So if someone calls you a dim bulb, that's a compliment.
We have such a terrible, terrible misconception of science. We think it involves the definite, the precise, the known; it is a horrid series of gates to an unknown as vast of the universe; which means endless.
If it were only a few degrees, that would be serious, but we could adapt to it. But the danger is the warming process might be unstable and run away. We could end up like Venus, covered in clouds and with the surface temperature of 400 degrees. It could be too late if we wait until the bad effects of warming become obvious. We need action now to reduce emission of carbon dioxide.
We seem gradually to be groping toward an understanding of the world of subatomic particles, but we really do not know how far we have yet to go in this task.
Accurate and minute measurement seems to the non-scientific imagination, a less lofty and dignified work than looking for something new. But nearly all the grandest discoveries of science have been but the rewards of accurate measurement and patient long-continued labour in the minute sifting of numerical results.
Even though NASA tries to simulate launch, and we practice in simulators, it's not the same - it's not even close to the same.
Subscribe for the occasional hand-picked quote. No noise.