Our children were mostly brought up and educated in the Churchill suburb east of Pittsburgh. Each summer, we took them back to England for an extended period.
Far better an approximate answer to the right question, which is often vague, than the exact answer to the wrong question, which can always be made precise.
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
In order to know the true situation of a Planet at any particular time, the small set of balls are to be put each on its respective axis; then the winch to be turned round until each index points to the given time.
As of now, string theorists have no explanation of why there are three large dimensions as well as time, and the other dimensions are microscopic. Proposals about that have been all over the map.
The theory has to be interpreted that extra dimensions beyond the ordinary four dimensions the three spatial dimensions plus time are sufficiently small that they haven't been observed yet.
But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.
It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.
The Bible should be taught, but emphatically not as reality. It is fiction, myth, poetry, anything but reality. As such it needs to be taught because it underlies so much of our literature and our culture.
I don't plan to write another science book, but I don't plan not to. I do enjoy writing histories, and taking subjects that are generally dull and trying to make them interesting.
Biology is now bigger than physics, as measured by the size of budgets, by the size of the workforce, or by the output of major discoveries; and biology is likely to remain the biggest part of science through the twenty-first century.
The more thoroughly I conduct scientific research, the more I believe that science excludes atheism.
What's going to happen when I die? I may be buried, or I may be cremated, I may give my body to science. I haven't decided yet.
Any teaching of falsehoods in science classes should certainly be identified and stopped by school inspectors. School inspectors should be looking at science teachings to make sure they are evidence-based science.
The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?
I liked Berkeley tremendously, Berkeley was a very leftist campus. I came to love that city as much as I love Paris or the south of France or New York.
It is not easy to see how the more extreme forms of nationalism can long survive when men have seen the Earth in its true perspective as a single small globe against the stars.
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
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.
Because men believe not in Providence, therefore they do so greedily scrape and hoard. They do not believe in any reward for charity, therefore they will part with nothing.
Then when I reached college I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods.
